A survey asked 863 people how many times per week they dine out at a restaurant. Consider the 863 people to be a population. Let X represent the number of times per week aperson dines for a person sampled at random from this population. Below is the probability distribution of X. Use this probability distribution to answer the questions that follow.X2347P(x)0.1650.3010.2730.1310.0700.0310.0240.005a. Find P(X 2 4). Do not round.P(X2 4) =b. Find the expected value of X. Do not round.E(X) =

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Answered: A survey asked 863 people how many…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Airlines sometimes overbook flights. Suppose that for a plane with 100 seats, an airline takes 110 reservations. Define the variable x as the number of people who actually show up for a sold-out flight. From past experience, the probability distribution of x is given in the table shown below. 95 96 97 98 99 100 101 102 P(x) 0.06 0.09 0.12 0.14 0.23 0.15 0.07 0.05 103 104 105 106 107 108 109 110 p(x) 0.04 0.02 0.01 0.005 0.005 0.005 0.0031 0.0019 (a) What is the probability that the airline can accommodate everyone who shows up for the flight? (b) What is the probability that not all passengers can be accommodated? (c) If you are trying to get a seat on such a flight and you are number 1 on the standby list, what is the probability that you will be able to take the flight? What if you are number 3?
Find the probability. Suppose x is a random variable best described by a uniform probability distribution with c= 10 and d=50. Find P(x>50). C= 0.4 0.5 1 O
The table below describes the number of students at a local college by sex and grade. The experiment is to randomly select one student from the population described in the table. What is the probability that the student selected is a freshman given he is a male? Enter your answer rounded correctly to two decimal places. Freshman Sophomore Junior Senior 1350 1150 900 1450 1450 1500 2800 2600 2400 Female 1400 800 2200 Male Total Total 4800 5200 10000
Determine the probability distribution's missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students X O oo 0 P(x) 0.45 OA. -0.93 OB. 0.54 OC. 0.46 D. 0.53 1 2 0.02 0.06 34 0.01 ?
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1471 and the standard deviation was 318. The test scores of four students selected at random are 1910, 1210, 2210, and 1370. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1910 is (Round to two decimal places as needed.)
2) Consider each distribution. Determine if it is a valid probability distribution or not and explain your answer. b, 2. 1. 2. P(x) 0.25 0.60 0.15 P(x) 0.25 0,60 0,20
A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 0.7, 1.4, 2.1, or 2.8 hours. The different types of malfunctions occur at the same frequency. If required, round your answers to two decimal places. a. Develop a probability distribution for the duration of a service call. Duration of Call f(a) 0.7 1.4 2.1 2.8 b. Which of the following probablity distribution graphs accurately represents the data set? 2. fx) 0.304 0.304 0.20 0.20 0.10- 0.10 0 0.7 14 2.1 2.8 O 0.7 14 2.1 2.8 3. fx) 0.304 0.20 0.10 0.7 1.4 2.1 2.8 |- Select your answer - c. Consider the required conditions for a discrete probability function, shown below. f(x) 20 (5.1) Ef(e) = 1 (5.2) Does this probability distribution satisfy equation (5.1)? - Select your answer - Does this probability distribution satisfy equation (5.2)? - Select your answer- d. What is the probability a service call will take 2.1 hours? e. A service call has just…
Let the random variable X represent the number of heads when a coin is tossed 4 times. The fallowing table describes the probability distribution of the random variable X: x P(x) 0 0.0625 1 0.25 2 0.375 3 0.25 4 0.0625 What is the probability of getting at least 2 heads? Round your answer to 4 decimals. Enter Answer:
The table below shows the grade distribution for a section in 6 classes. Determine if each of the distributions 1-6 are valid probability distributions or not and explain your reasoning. Distribution A B C D E 1 0.3 0.3 0.3 0.2 0.1 2 0 0 1 0 0 3 0.3 0.3 0.3 0 0 4 0.3 0.5 0.2 0.1 -0.1 5 0.2 0.4 0.2 0.1 0.1 6 0 -0.1 1.1 0 0
ols A census collected data on everyone that lived in a certain small town. The random variable X is the number of girls born to a randomly selected couple in that town who has four children. Its probability distribution is shown below. Complete parts a through c. 0 0 1 0.2447 2 0.3208 3 0.2415 4 0.1073 P(X=x) 0.0857 ... a. Find and interpret the mean of the random variable. =(Round to four decimal places as needed.) View an example Help me solve this Get more help. F5 A MacBook Air F6 F7 DII Clear all FB F9 I Check answer F10 F11
The following is the probability distribution for an athlete of winning medals. Medal (Event) Gold E1 Silver E2 Bronze E3 No medal E4 P(Ei) 0.10 0.15 0.20 0.55 Find the probability of earning a medal. Group of answer choices 0.45 0.9 0.15 0.75 0.25
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.

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