Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway duringmorning commute hours. A survey of cars showed that the probability distribution of X is as follows.113P(x)0.650.100.120.030.10Send data to ExcelPart 1 of 7(a) Find P (1).P(1) =口Part 2 of 7(b) Find P(greater than 4).P(greater than 4) = (c) Find the probability that a car has only one occupant.The probability that a car has only one occupant isPart 4 of 7(d) Find the probability that a car has fewer than four occupants.The probability that a car has fewer than four occupants isPart 5 of 7(e) Compute the mean u, Round the answer to two decimal places.The mean xis

Name: Do you carpool? Let X represent the number of occupants in a randomly
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway duringmorning commute hours. A survey of cars showed that the probability distribution of X is as follows.113P(x)0.650.100.120.030.10Sen

Math

Statistics

Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows. 2 P(x) 0.65 0.10 0.12 0.03 0.10 Send data te Excel Part 1 of 7 (a) Find P (1). P(1) = D %3D Part 2 of 7 (b) Find P(greater than 4). P(greater than 4) =| %3D

Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows. 2 P(x) 0.65 0.10 0.12 0.03 0.10 Send data te Excel Part 1 of 7 (a) Find P (1). P(1) = D %3D Part 2 of 7 (b) Find P(greater than 4). P(greater than 4) =| %3D

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Let the random variable Y have a geometric distribution with a mean of 3. The probability that…

A: From the provided information,Y have a geometric distribution with a mean of 3 that is Y~G(3)Since,

Q: Let X represent the number of tires with low air pressure on a randomly chosen car. The probability…

A: X 0 1 2 3 4 P(X) 0.1 0.2 0.4 0.2 0.1

Q: The probability distribution for a discrete random variable is given below: X 4 6 8…

A: Given that Probability distribution table X 4 6 8 10 P(x) 0.40 0.10 0.20 0.30 We know…

Q: Suppose that the random variable xx, shown below, represents the number of speeding tickets a person…

A: (a) Obtain the probability that a randomly selected person has received four tickets in a…

Q: The probability distribution of a random variable X is given in the table below. 2 5 P (X = x) 0.1…

Q: Use n= 10 and p=0.25 to complete parts (a) through (d) below. (a) Construct a binomial probability…

A: Given that n=10 ,p=0.25 using binomial distribution Find all the required blanks

Q: uppose that the random variable xx, shown below, represents the number of speeding tickets a person…

A: given: x P(x) 0 0.3525 1 0.3221 2 0.1689 3 0.0811 4 0.0402 5 0.0352 6+ 0.0000

Q: The probability distribution of X, the number of males with tinnitus (ringing ears) among 6 randomly…

A: x P(x) 0 0.61 1 0.24 2 0.08 3 0.04 4 0.02 5 0.01 6 0 Total 1

Q: A coach has 6 players that will join track and field. The random variable that is being studied is…

A: 1. The majority means more than half of total. Here, total is X=6. Then, the majority means X>3.…

Q: g is the probability distribution of a random variable that represents the number of extracurricular…

A: The problem is asking for the probability that a student participates in at most three activities.…

Q: 2

A: a. The probability distribution is shown below, x 1 2 3 4 5 p(x) 115 k15 k5 414 k15 To find…

Q: A data scientist tracked how many cups of coffee she drank every day at work over the course of a…

Q: Question 6 The number of credit cards in the wallet of a randomly selected person varies from 0 to…

A: x P(x) 0 0.03 1 0.11 2 0.17 3 0.33 4 0.2 5 0.15 6 0.01 total 1

Q: Pain is measured on a scale from Grade 1 (no pain) to Grade 4 (severe pain). X is the pain score of…

A: 1. Wrong, because it is a discrete random variable. 2. Wrong, P(X<2) = P(X≤1)

Q: A random variable X has the probability distribution given in the following table: 1 2 3 4 5 (x =…

Q: For a probability distribution X, if E(X) = 0.35 then E(3X-2) = Select one: O 1.05 O -1.05 O 0.95 O…

A: Assume that X is a random variable.

Q: EBased on recent records, the mananger of a car painting centre has determined the following…

A: Solution is in the attachment below:

Q: A random variable X has a probability distribution function as follow: X P(X=x) 0.3 15.2 12.5 1 15.5…

Q: 23. Table Q3 1 2 0.15 a 3 0.4 X P(X=x) Given E(X)= 3.05, calculate the values of a and b. 6 b

A: a=0.25 b=0.20

Q: Suppose the probability distribution for X = number of jobs held during the past year for students…

A: Given data: x Probability 0 0.15 1 0.37 2 0.27 3 0.14 4 0.07

Q: Assume that ticket prices for an event are normally distributed. What z-value corresponds to the 1%…

A: we have to find z value..

Q: The annual premium for a $20,000 insurance policy against the theft of a painting is $300. If the…

A: Let us assume x is the random variable for the amount received from the Insurance company.

Q: An automotive center keeps track of customer complaints received each week. The probability…

Q: (a) Compute the mean μx. Round the answer to three decimal places as needed. μx = Part: 1/3 Part 2…

A: Let X be the number of occupants.The probability distribution of X is given…

Q: What is the probability that a randomly selected student changed his or her major at least once?…

A: according to our guidelines, we can answer only three subparts, or the first question and the rest…

Q: Senior high school students are randomly selected to gather data on the hours spent per day playing…

A: Given data is Length (in hours) Probability 0 0.012 1 0.062 2 0.281 3 0.326 4 ? 5…

Q: The probability distribution of random variable X is given as follow: 2 4 5 f (x) 0.41 0.37 0.16…

A: We have to find correct answer..

Q: The probability distribution given describes the number of thunderstorms that a certain town may…

Q: Let X be a random variable that can take the values 5, 9, or 13. And let f(x) be its probability…

A: Variance : Variance formula for the probability distribution is given by V(X) =…

Q: The joint probability distribution of the number X of cars and the number Y of buses per signal…

A: Given the joint PMF of X and Y, and we have to find the probabilities of given events:

Q: Suppose that the random variable xx, shown below, represents the number of speeding tickets a person…

A: Solution: From the given information, the probability distribution of X is

Q: The table shows the probability distribution of the number of days (x) to complete a construction…

A: Define the probability distribution p(x) for random variable x. The probability distribution p(x) is…

Q: Suppose that the random variable xx, shown below, represents the number of speeding tickets a person…

A: As per the guidelines we are allowed to solve maximum of 3 subparts Please repost the question if…

Q: Suppose that the random variable xx, shown below, represents the number of speeding tickets a person…

A: Given, Number of spending tickets a person received in three years periods and below the probability…

Q: g is the probability distribution of a random variable that represents the number of extracurricular…

A: The problem is asking us to find the probability that a student participates in more than two…

Q: Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain…

A: we have to find out the p(2) for the given data here probability distribution table is given

Q: An automotive center keeps track of customer complaints received each week. The probability…

A: First we will calculate the mean number of complaints for each store For Store A : xi 0 1…

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during
morning commute hours. A survey of cars showed that the probability distribution of X is as follows.
1
13
P(x)
0.65
0.10
0.12
0.03
0.10
Send data to Excel
Part 1 of 7
(a) Find P (1).
P(1) =
口
Part 2 of 7
(b) Find P(greater than 4).
P(greater than 4) =

(c) Find the probability that a car has only one occupant.
The probability that a car has only one occupant is
Part 4 of 7
(d) Find the probability that a car has fewer than four occupants.
The probability that a car has fewer than four occupants is
Part 5 of 7
(e) Compute the mean u, Round the answer to two decimal places.
The mean x
is

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

bit a

bit a

bit b

Bit c

bit d

BIT E

Trending now

This is a popular solution!

Step by step

Solved in 6 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

The following table lists the probability distribution of the number of student taken course per semester in science centre. 3 5 6 7 P(x) 0.37 0.26 0.18 0.11 0.08 Calculate E(4X + 6).
Let X be a random variable that can take the values 2, 9, or 13. And let f(x) be its probability distribution. Find the variance of the random variable X, given that its probability distribution is f(2) = 0.1 f(9) = 0.4 f(13) = 0.5 Round your answer to an integer.
Suppose the probability function for x is such that p(x=1)=0.3, p(x=2)=0.4 and p(x=3)=0.3. What is the variance of x ?
Suppose that the random variable xx, shown below, represents the number of speeding tickets a person received in a three-year period. P(x)P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. xx P(x)P(x) 0 0.3891 1 0.281 2 0.1497 3 0.098 4 0.0471 5 0.0351 6+ 0.0000 Would it be unusual to randomly select a person who has received four or more tickets in a three-year period? A. Yes B. NoIs it correct answer B?
Suppose that the random variable xx, shown below, represents the number of speeding tickets a person received in a three-year period. P(x)P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. xx P(x)P(x) 0 0.3377 1 0.3347 2 0.1744 3 0.0605 4 0.0464 5 0.0463 6+ 0.0000 a) What is the probability that a randomly selected person has received four tickets in a three-year period?P(x=4)=P(x=4)=b) What is the probability that a randomly selected person has received four or more tickets in a three-year period?P(x≥4)=P(x≥4)=c) What is the probability that a randomly selected person has received more than four tickets in a three-year period?P(x>4)=P(x>4)=d) Would it be unusual to randomly select a person who has received four tickets in a three-year period? Yes No e) Which probability should we use to…
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
An automotive center keeps track of customer complaints received each week. The probability distributions of complaints are shown below. The random variable, xi, represents the number of complaints, and p(xi) is the probability of receiving xi complaints for two of the stores. The cost impact of each complaint is believed to be y=$10x3 where x is the number of complaints. Store A xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.20 0.25 0.15 0.10 0.05 Store B xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.25 0.22 0.13 0.08 0.07 Compute the simulated averages and standard deviations of the number of complaints per week for each store and the total for both stores over the 52 weeks. Compare to the theoretical mean and standard deviations.
g is the probability distribution of a random variable that represents the number of extracurricular activities a college freshman participates in. x 0 1 2 3 4 Px 0.06 0.13 0.45 0.23 0.13 Find the probability that a student participates in more than two activities.
Three fair dice are rolled. Let the random variable X be the number of die that are showing a roll of 1. Complete the probability distribution table. X P(X=X 0 1 2 3 Find the mean of this probability distribution E(X)=
Let X represent the number of homes a real estate agent sells during a given month. Based on previous sales records, she estimates that P(0)= 0.62, P(1)= 0.21, P(2)= 0.13, P(3)= 0.03, P(4)= 0.01, with negligible probability for higher values of x. Find the long-term average number of homes the real estate agent expects to sell each month.
Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows. x 1 2 3 4 5 Px 0.68 0.14 0.08 0.02 0.08 Send data to Excel Part 1 of 7 (a) Find P1 . P1 = .68 Part 2 of 7 (b) Find P (greater than or equal to 2 ). P (greater than or equal to 2 ) = .32 Part 3 of 7 (c) Find the probability that a car has only one occupant. The probability that a car has only one occupant is . Part 4 of 7 (d) Find the probability that a car has fewer than four occupants. The probability that a car has fewer than four occupants is . Part 5 of 7 (e) Compute the mean μx .…
Suppose that the random variable x, shown below, represents the number times . P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. 19 a| P(x) 0 0.2749 Rectangular Snip 1 0.2522 2 0.2511 3 0.1494 4 0.0455 0.0269 6+ 0.0000 a) What is the probability that a randomly selected person has received two tickets in a three-year period? P(x = 2) %3D b) What is the probability that a randomly selected person has received four tickets in a three-year period? P(x = 4) c) What is the probability that that a randomly selected person has received more than five tickets in a three-year period? P(x > 5) = d) What is the probability that that a randomly selected person has received three or less tickets in a three-year period? P(x < 3)