Probability that selected student spends eighty percent time

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Reference no: EM13139183

Let X denote the proportion of allotted time that a randomly selected student spends working on a particular aptitude test, and suppose the probability density fuction, p(x) of X is: {f(x)= (theta + 1)*x^theta when 0 =<x <=}and
{f(x)= 0 otherwise where -1 < theta}

a. find and graph the cumlative distribution function, F(x)= P(X is less than or equal to x)of X.

B. Find the probability that a randomly selected student spends at least three quarters of the allotted time on the test.

c. Find the probability that a randomly selected student spends between eighty and ninety percent of the time on the test.

d. Find the expected value of X. E(X)

E. Find the reliability function, R(t)=P(X > t)

f. Find the failure rate of X.

Reference no: EM13139183

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