QUESTION 3 Consider the following binomial random variables. The numbers of sixe

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QUESTION 3 Consider the following binomial random variables. The numbers of sixes seen in 50 rolls of a die. Find the mean. A. 8.3 The number of sixes seen in 50 rolls of a die. Find the standard deviation. B. 2.64 7 The number of defective televisions in a shipment of 125 (the manufacturer C. 25 claimed that 98% of the sets were operative). Find the mean. D. 1.57 vThe number of defective televisions in a shipment of 125 (the manufacturer claimed that 98% of the sets were operative). Find the standard deviation. Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers 100%

Explanation / Answer

the probability of success (p): p = 1/6
the probability of failure: q = 5/6
n = 50

a) mean = n * p = 50 * 1/6 = 2.5

b) std.deviation = sqrt(npq)
= sqrt ( 50 * 1/6 * 5/6)
= 2.64

c)
n = 125 , probability of defective = 0.02
mean = np = 125 * 0.02 = 2.5

d)
std.dev = sqrt(npq)
= sqrt( 125 * 0.02 * 0.98)
= 1.57

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