Most of this is correct but I am missing the last part in BOLD ... Consider the

Question

Most of this is correct but I am missing the last part in BOLD...

Consider the experiment where a pair of fair dice is thrown. Let X denote the random variable whose value is determined by multiplying the number of spots showing on the one die by the number of spots showing on the other. The range of values that X can assume are the positive integers {1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36}. Please give the corresponding probabilities for the values of X given below.

Pr(X = 1) = 1/36
Pr(X = 2) = 2/36
Pr(X = 3) = 2/36
Pr(X = 4) = 3/36
Pr(X = 5) = 2/36
Pr(X = 6) = 4/36
Pr(X = 8) = 2/36
Pr(X = 9) = 1/36
Pr(X = 10) = 2/36
Pr(X = 12) = 4/36
Pr(X = 15) = 2/36
Pr(X = 16) = 1/36
Pr(X = 18) = 2/36
Pr(X = 20) = 2/36
Pr(X = 24) = 2/36
Pr(X = 25) = 1/36
Pr(X = 30) = 2/36
Pr(X = 36) = 1/36

Further, find the probability that X is divisible by 4.
Probability that X is divisible by 4 equals

Explanation / Answer

P(product divisible by 4) = P(product 4) + P(product 8) + P(product 12) + P(product 16) + P(product 20) + P(product 24) + P(product 36)

P(product divisible by 4) = 3/36 + 2/36 + 4/36 + 1/36 +  2/36 + 2/36 + 1/36

P(product divisible by 4) = 15/36 = 5/12

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.