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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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 1E
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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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