Answered: Find the mean, variance, and standard…

Math

Probability

Find the mean, variance, and standard deviation of the probability distribution.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the…

A: It is given that the mean is 18 and the standard deviation is 4.2.

Q: e. Find the standard deviation of the random variable X.

A: A random Sample of 200 residents; n=200 p=0.254

Q: random variable x represents the number of credit cards that adults have along with the…

A: Let X be the random variable having probability mass function is, XP(X) 00.0710.6820.2130.0340.01

Q: Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000…

Q: The number of school-related extracurricular activities per student 7 0.059 0.122 0.164 0.178 0.213…

A: Given PMF of X. Now will using this pmf to find required information

Q: For the following distribution: X P(x) 0 01.30 1 0.346 0.346 0.154 0.026 2|3 4 What is the variance…

A: From the provided information, The probability distribution table is as follow: X P (X) 0 0.130…

Q: Calculate the mean, variance, and standard deviation of this probability distribution. (Show all…

A: Mean=E(X)=∑X P(X) =(0 * 0.27)+(1 * 0.35)+(2 * 0.18)+(3 * 0.12) +(4 *…

Q: A match of Hoop Fever gives each player 60 seconds to make as many baskets as possible. Morgan and…

A: From the given information, M=the number of baskets made by Morgan follows normal distribution with…

Q: Find the variance for a given probability distribution. x: 0, 22, 4, 6 p(x): 0.05, 0.17, 0.43, 0.35

A: Given: Probability distribution. The variance is obtained as below:…

Q: Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000…

A: Defects012345Probability0.2580.2890.2430.1520.0380.020

Q: Use the probability distribution to complete parts (a) and (b) below. The number of school-related…

A: Mean:- ∈X=ΣX.Px ∈x =0×0.058+1⁎0.122+2⁎0.162+3⁎0.179…

Q: The random variable x represents the number of boys in a family of three children. Assuming that…

Q: x is a normally distributed random variable with a mean of 3 and a variance of 4. Find the…

A: Given that X follows a normal distribution with mean=3 and variance=4. So standard deviation=4=2We…

Q: A. Determine the mean and standard deviation of the total thickness of the two halves. B. What is…

A: plastic casing for a magnetic disk is composed of two halves. The thickness of each half is normally…

Q: Use the probability distribution to complete parts (a) and (b) below. The number of school-related…

A: Suppose be the number of school-related extracurricular activities per student.The probability…

Q: Consider the probability distribution for number of children in local families. x P(x) 0 0.03 1…

A: For a discrete random variable, X, with probability distribution P(X), the relation ∑PX=1 holds…

Q: GPA of students enrolled at a university has an approximately normal distribution with a mean of…

Q: The diameters of ball bearings are distributed normally. The mean diameter is 65 millimeters and the…

A: From the provided information,

Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the…

A: Solution: From the given information, X follows normal distribution with mean µ=24 and a standard…

Q: Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000…

A: mean=μ=E(X)

Q: use calculator me: Band: Due Date: Let x be a random variable that represents the weights in…

A: Step 1: Step 2: Step 3: Step 4:

Q: Probability Reviewer Ratings 0.5- 0.4- 0.3- 0.24 0.1 0.021 0.0- 0.085 N2 0.218 0.245 13 Rating 0.431

A: Given that,From the histogram, the probability distribution table on reviewer ratings is given…

Q: Find the mean, variance and standard deviation for the probability distribution given below. Give…

A: Sample Mean: Sum of observations is divided by number of observations in the sample is named as…

Q: 3. P(X) 0.09 0.19 0.39 0.22 0.11

A: We have given that Probability distribution of discrete random variable x. Mean = E(x)= ∑x.P(x)…

Q: The random variable Y has the distribution shown below: Value 1 4 Probability 0.2 0.8 The mean of Y…

A: Given: Value 1 4 Probability 0.2 0.8 Mean, E(Y) = 3.4

Q: Consider a random variable (r.v.) that follows a Normal Distribution. Identify the statements that…

Q: The number of defects per 1000 machine parts inspected Defects 0 1 2 3 4 5 Probability 0.264 0.296…

A: The given probability distribution shows the values of defects (X) and their respective probability…

Q: Calculate the expected value, the variance, and the standard deviation of the given random variable…

Q: Mean= Variance= B Standard Deviation= 19 20 21 Find the mean, variance, and standard deviation of…

A: Given that Probability distribution table x 19 20 21 22 23 P(x) 0.24 0.23 0.31 0.11 0.11…

Q: a. Calculate the probability that the average number of minutes that diners spend at their table for…

A: Let X denote number of minutes that drivers spend at their table for dinner. Given that X follows…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that, X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: The amount of coffee in a can has a mean of 350g. The standard deviation is 5g. Use the normal…

Q: The histogram shows the reviewer ratings on a scale from 1 (lowest) to 5 (highest) of a recently…

A: The question is about graphs and measures.Given :

Q: Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000…

A: The number of defects and their corresponding probabilities are given.

Q: The number of defects per 1000 machine parts inspected Defects 1 2 4 5 Probability 0.262 0.295 0.236…

Question

Use the probability distribution to complete parts (a) and (b) below.

The number of defects per 1000 machine parts inspected

Defects	0	1	2	3	4	5
Probability	0.255	0.294	0.235	0.158	0.042	0.016

(a) Find the mean, variance, and standard deviation of the probability distribution.

The mean is

1.51.5.

(Round to one decimal place as needed.)

The variance is

1.51.5.

(Round to one decimal place as needed.)

The standard deviation is

1.21.2.

(Round to one decimal place as needed.)

(b) Interpret the results.

The mean is

enter your response here,

so the average batch of 1000 machine parts has

▼

The standard deviation is

enter your response here,

so the typical number of defects in a batch of 1000

▼

(Round to one decimal place as needed.)

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

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places
Solve for C
The diameters of ball bearings are distributed normally. The mean diameter is 53 millimeters and the variance is 25. Find the probability that the diameter of a selected bearing is greater than 48 millimeters. Round your answer to four decimal places. Answer Tables Normal Table - to-z Z -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -1.9 -1.8 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0.00 -3.4 0.0002 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 -3.3 0.0003 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0005 0.0005 0.0005 -3.2 0.0005 0.0005 0.0005 0.0006 0.0006 0.0006 0.0006 0.0006 0.0007 0.0007 -3.1 0.0007 0.0007 0.0008 0.0008 0.0008 0.0008 0.0009 0.0009 0.0009 0.0010 -3.0 0.0010 0.0010 0.0011 0.0011 0.0011 0.0012 0.0012 0.0013 0.0013 0.0013 -2.9 0.0014 0.0014 0.0015 0.0015 0.0016 0.0016 0.0017 0.0018 0.0018 0.0019 0.0019 0.0020 0.0021 0.0021 0.0022 0.0023 0.0023 0.0024 0.0025 0.0026 0.0026 0.0027 0.0028 0.0029 0.0030 0.0031 0.0032 0.0033 0.0034 0.0035 0.0036 0.0037 0.0038 0.0039…
The weights of steers in a herd are distributed normally. The variance is 10,000 and the mean steer weight is 1100⁢lbs. Find the probability that the weight of a randomly selected steer is between 919 and 1180⁢lbs. Round your answer to four decimal places.
Use the probability distribution to complete parts (a) and (b) below. The number of school-related extracurricular activities per student Activities 0. 1 3. 4. 6. 7 Probability 0.059 0.121 0.162 0.178 0.216 0.128 0.084 0.052 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is 3.4. (Round to one decimal place as needed.) The variance is. (Round to one decimal place as needed.) es Enter your answer in the answer box and then click Check Answer. Clear All parts remaining pt.pdf re to search PrtScn
The random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts a through c. x 2 4 5 6 7 8 P(X=x) 0.034 0.022 0.353 0.190 0.395 0.006 a. Find and interpret the mean of the random variable. μ=_____ (Round to three decimal places as needed.) Interpret the mean. Select the correct choice below and fill in the answer box to complete your choice. A. The average number of persons in a shuttle crew is_____person(s). B. The most common number of persons in a shuttle crew is_____person(s). b. Obtain the standard deviation of the random variable. σ=______ (Round to three decimal places as needed.) c. Construct a probability histogram for the random variable; locate the mean; and show one-, two-, and three-standard-deviation intervals. Choose the correct histogram below. The mean is____.The one-standard-deviation interval…
Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 0 1 2 3 4 5 Probability 0.260 0.290 0.234 0.161 0.037 0.018 (a) Find the mean, variance, and standard deviation of the probability distribution.
Calculate the mean and standard deviation for the discrete probability distribution shown here. Mean = Don't round. SD = Round to thousandths place.
Use the probability distribution to complete parts (a) and (b) below. The number of school-related extracurricular activities per student Activities 0 4 5 1 2 3 6 7 0 Probability 0.057 0.121 0.163 0.177 0.216 0.127 0.086 0.053 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is 3.4. (Round to one decimal place as needed.) The variance is (Round to one decimal place as needed.)
The number of defects per 1000 machine parts inspected Defects 0 1 2 3 4 5 Probability 0.262 0.302 0.234 0.148 0.038 0.016 (a) Find the mean, variance, and standard deviation of the probability distribution.
Calculate the standard deviation ? of X for the probability distribution. (Round your answer to two decimal places.) x 0 1 2 3 P(X = x) 0.1 0.3 0.4 0.2 ? =
Please do not give solution in image format thanku A production process manufactures electronic components with timing signals whose duration follows a normal distribution. A random sample of 7 components was taken, and the durations of their timing signals were measured. a. The probability is 0.10 that the sample variance is bigger than what percentage of the population variance? b. The probability is 0.05 that the sample variance is less than what percentage of the population variance?