(a) Consider a random variable, Y (waiting time, in hours) with the following cumulative distribution function 0, y<0, F(y)= |1-e*", y20. Compute the probability of waiting less than 12 minutes using the cumulative distribution function and the probability density function of Y.

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(a)
Consider a random variable, Y (waiting time, in hours) with the following cumulative
distribution function
0,
y<0,
F(y)={
1-е %, у20.
y 20.
Compute the probability of waiting less than 12 minutes using the cumulative
distribution function and the probability density function of Y.
(b)
A deck of 52 random shuffled cards is used to draw 3 cards without replacement. Let
X be the number of hearts, construct the probability distribution of P(X=x).
Transcribed Image Text:(a) Consider a random variable, Y (waiting time, in hours) with the following cumulative distribution function 0, y<0, F(y)={ 1-е %, у20. y 20. Compute the probability of waiting less than 12 minutes using the cumulative distribution function and the probability density function of Y. (b) A deck of 52 random shuffled cards is used to draw 3 cards without replacement. Let X be the number of hearts, construct the probability distribution of P(X=x).
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