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1. A random variable can assume values x = 0, 2, 4, 6. Find the missing probability for each case. (a) x P(x) (b) x P(x) 2 0 .1 2 4 4 .2 6 3 6 2 2. Calculate the mean and variance for each case in problem 1. X0246

1. A random variable can assume values x = 0, 2, 4, 6. Find the missing probability for each case. (a) x P(x) (b) x P(x) 2 0 .1 2 4 4 .2 6 3 6 2 2. Calculate the mean and variance for each case in problem 1. X0246

A First Course in Probability (10th Edition)
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...
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1. A random variable can assume values x = 0, 2, 4, 6. Find the missing probability for each case. (a) x P(x) (b) x P(x) 0 2 0 2 2 4 4 6 3 6 2. Calculate the mean and variance for each case in problem 1. 3. Consider the set S = (1, 2, 3, 4). (a) How many 3-membered subsets of S are there? (b) List the 3-membered subsets of S. 4. Four marbles are selected with replacement from a jar containing 4 red and 8 blue marbles. Find the following probabilities. (a) The probability that at least one is red. (b) The probability that at least one is blue. 5. Six marbles are selected with replacement from a jar containing 4 red and 6 blue marbles. Let x = the number of reds selected. Find (a) P(x = 2) (b) P(x = 3) (c) P(x = 4) 6. A coin is flipped 5 times and x = the number of heads obtained. Find P(x) for x = 0, 1, 2, 3, 4, 5. 7. A binomial experiment has n = 100 and p = 2 Let x = the number of successes in n trials. Find (a) the mean value of x (b) the variance of x 8. A jar contains 8 red marbles, 4 blue marbles and 4 yellow marbles. Three marbles are selected with replacement. Find the probability that at least 2 have the same color. 9. Let z have the standard normal distribution. Find the following probabilities. (a) P(-2<z < 2) (b) P(1.25 < z < 2.60) (c) P(Z > 0.26) 10. Let x have a normal distribution with mean = 75 and standard deviation = 10. Find the following probabilities. (a) P(65 < x < 85) (b) P(50<x<90) (c) P(x > 60) .1 422
Transcribed Image Text:1. A random variable can assume values x = 0, 2, 4, 6. Find the missing probability for each case. (a) x P(x) (b) x P(x) 0 2 0 2 2 4 4 6 3 6 2. Calculate the mean and variance for each case in problem 1. 3. Consider the set S = (1, 2, 3, 4). (a) How many 3-membered subsets of S are there? (b) List the 3-membered subsets of S. 4. Four marbles are selected with replacement from a jar containing 4 red and 8 blue marbles. Find the following probabilities. (a) The probability that at least one is red. (b) The probability that at least one is blue. 5. Six marbles are selected with replacement from a jar containing 4 red and 6 blue marbles. Let x = the number of reds selected. Find (a) P(x = 2) (b) P(x = 3) (c) P(x = 4) 6. A coin is flipped 5 times and x = the number of heads obtained. Find P(x) for x = 0, 1, 2, 3, 4, 5. 7. A binomial experiment has n = 100 and p = 2 Let x = the number of successes in n trials. Find (a) the mean value of x (b) the variance of x 8. A jar contains 8 red marbles, 4 blue marbles and 4 yellow marbles. Three marbles are selected with replacement. Find the probability that at least 2 have the same color. 9. Let z have the standard normal distribution. Find the following probabilities. (a) P(-2<z < 2) (b) P(1.25 < z < 2.60) (c) P(Z > 0.26) 10. Let x have a normal distribution with mean = 75 and standard deviation = 10. Find the following probabilities. (a) P(65 < x < 85) (b) P(50<x<90) (c) P(x > 60) .1 422
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