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The probability density function for the time taken to complete a 1-hour test (X) by students is given by a) b) Find the value of c. f(x) = {cx² + 0≤x≤1 x ! elsewhere Find the probability that a randomly selected student will finish in at least half an hour. Calculate the variance of X.

The probability density function for the time taken to complete a 1-hour test (X) by students is given by a) b) Find the value of c. f(x) = {cx² + 0≤x≤1 x ! elsewhere Find the probability that a randomly selected student will finish in at least half an hour. Calculate the variance of X.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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QUESTION 4 The probability density function for the time taken to complete a 1-hour test (X) by students is given by a) b) c) Find the value of c. f(x) = {cx² + x ! ) 0≤x≤1 elsewhere Find the probability that a randomly selected student will finish in at least half an hour. Calculate the variance of X.
Transcribed Image Text:QUESTION 4 The probability density function for the time taken to complete a 1-hour test (X) by students is given by a) b) c) Find the value of c. f(x) = {cx² + x ! ) 0≤x≤1 elsewhere Find the probability that a randomly selected student will finish in at least half an hour. Calculate the variance of X.
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