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Part A Multiple Choice Question 1 A bucket contains six green balls and eight yellow balls. Three balls are taken at random from the bucket without replacement. The probability that the balls are not all the same colour is 10 A. 91 B. D. 286 E. 343 Question 2 If A and B are events from a sample space such that Pr(A) = 0.6, Pr(B) = 0.3 and Pr(AUB) = 0.7, then Pr(A n B') is equal to A. 0.12 B. 0.18 C. 0.2 D. 0.3 E. 0.4 Question 3 A discrete random variable X has a probability distribution as shown 1 3. Pr(X x) 4a 2a За a The mean of X is А. 1. 1 В. 1.5 С. 1 D. 11a 11a E. 一 一R一

Part A Multiple Choice Question 1 A bucket contains six green balls and eight yellow balls. Three balls are taken at random from the bucket without replacement. The probability that the balls are not all the same colour is 10 A. 91 B. D. 286 E. 343 Question 2 If A and B are events from a sample space such that Pr(A) = 0.6, Pr(B) = 0.3 and Pr(AUB) = 0.7, then Pr(A n B') is equal to A. 0.12 B. 0.18 C. 0.2 D. 0.3 E. 0.4 Question 3 A discrete random variable X has a probability distribution as shown 1 3. Pr(X x) 4a 2a За a The mean of X is А. 1. 1 В. 1.5 С. 1 D. 11a 11a E. 一 一R一

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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Part A Multiple Choice Question 1 A bucket contains six green balls and eight yellow balls, Three balls are taken at random from the bucket without replacement. The probability that the balls are not all the same colour is 10 A. 91 36 B. 49 C. D. 286 E. 343 Question 2 If A and B are events from a sample space such that Pr(A) = 0.6, Pr(B) = 0.3 and Pr(A U B) = 0.7, then Pr(A n B') is equal to A. 0.12 B. 0.18 C. 0.2 D. 0.3 E. 0.4 Question 3 A discrete random variable X has a probability distribution as shown Pr(X = x) 4a 2a За a The mean of X is A. 1. 1 В. 1.5 С. 1 D. 11a 11a E. 4
Transcribed Image Text:Part A Multiple Choice Question 1 A bucket contains six green balls and eight yellow balls, Three balls are taken at random from the bucket without replacement. The probability that the balls are not all the same colour is 10 A. 91 36 B. 49 C. D. 286 E. 343 Question 2 If A and B are events from a sample space such that Pr(A) = 0.6, Pr(B) = 0.3 and Pr(A U B) = 0.7, then Pr(A n B') is equal to A. 0.12 B. 0.18 C. 0.2 D. 0.3 E. 0.4 Question 3 A discrete random variable X has a probability distribution as shown Pr(X = x) 4a 2a За a The mean of X is A. 1. 1 В. 1.5 С. 1 D. 11a 11a E. 4
Question 4 Let X be a discrete random variable with a binomial distribution. The mean of X is 20 and the variance is 12. The values of n (the number of independent trials) and p (the probability of each trial) are The mean of X is A. p = 50 and n = 0.4 B. p = 0.6 and n = 50 C. p = 0.2 and n = 100 D. p = 0.72 and n = 50 E. p = 0.4 and n = 50 Question 5 The random variable X has a normal distribution with a mean of 50 and a variance of 49. If the random variable Z has a standard normal distribution, the probability that X is greater than 71 is A. 1- Pr(Z < -3) B. 1- Pr(Z > 3) C. Pr(-3 < Z < 3) D. Pr(Z < 3) E. Pr(Z < -3)
Transcribed Image Text:Question 4 Let X be a discrete random variable with a binomial distribution. The mean of X is 20 and the variance is 12. The values of n (the number of independent trials) and p (the probability of each trial) are The mean of X is A. p = 50 and n = 0.4 B. p = 0.6 and n = 50 C. p = 0.2 and n = 100 D. p = 0.72 and n = 50 E. p = 0.4 and n = 50 Question 5 The random variable X has a normal distribution with a mean of 50 and a variance of 49. If the random variable Z has a standard normal distribution, the probability that X is greater than 71 is A. 1- Pr(Z < -3) B. 1- Pr(Z > 3) C. Pr(-3 < Z < 3) D. Pr(Z < 3) E. Pr(Z < -3)
Expert Solution
Probability concept:

Note: "Since you have posted a multiple questions, we will solve first question for you. To get remaining questions solved please re post the questions and mention the question to be solved".

 

Probability is the ratio of favorable outcome to the total number of possible outcomes and it is given by

                               P = s/n

 [ Here, s is the favorable outcomes

             n is the total number of possible outcomes ]

 

 

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