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The sample space of a random experiment is {a, b, c, d,e, f}, and each outcome is equally likely. A random variable X is defined as follows where is an outcome. a b C d e f 1.5 1.5 2 3 Determine the probability distribution p(x) for all values x possible for X. What is P(X = 1.5)? O 1/3 O 1/2 O 1/6

The sample space of a random experiment is {a, b, c, d,e, f}, and each outcome is equally likely. A random variable X is defined as follows where is an outcome. a b C d e f 1.5 1.5 2 3 Determine the probability distribution p(x) for all values x possible for X. What is P(X = 1.5)? O 1/3 O 1/2 O 1/6

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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The sample space of a random experiment is {a, b, c, d,e, f}, and each outcome is equally likely. A random variable X is defined as follows where is an outcome. a b C d X( |o 1.5 1.5 3 Determine the probability distribution p(x) for all values x possible for X. What is P(X = 1.5)? O 1/3 O 1/2 O 1/6
Transcribed Image Text:The sample space of a random experiment is {a, b, c, d,e, f}, and each outcome is equally likely. A random variable X is defined as follows where is an outcome. a b C d X( |o 1.5 1.5 3 Determine the probability distribution p(x) for all values x possible for X. What is P(X = 1.5)? O 1/3 O 1/2 O 1/6
Use the probability distribution you determined in Question 1. What is the probability P(O.5<X<2.7)? 1/3 1/2 D Question 3 In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume that the probability that a wafer passes the test is 0.8 and that wafers are independent. Determine the probability mass function p(x) of the number of wafers from a lot that pass the test. What is the probability that exactly 1 wafer passes the test? 0.032 0.096 0.8
Transcribed Image Text:Use the probability distribution you determined in Question 1. What is the probability P(O.5<X<2.7)? 1/3 1/2 D Question 3 In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume that the probability that a wafer passes the test is 0.8 and that wafers are independent. Determine the probability mass function p(x) of the number of wafers from a lot that pass the test. What is the probability that exactly 1 wafer passes the test? 0.032 0.096 0.8
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