10. -12 points My Note Consider the following binomial random variables (a) The

Question

10. -12 points My Note Consider the following binomial random variables (a) The number of sixes seen in 50 rolls of a die. (i) Find the mean. (Give your answer correct to one decimal place.) (ii) Find the standard deviation. (Give your answer correct to two decimal places.) (b) The number of defective televisions in a shipment of 125(the manufacturer claimed that 98% of the sets were operative). (i) Find the mean. (Give your answer correct to one decimal place.) (ii) Find the standard deviation. (Give your answer correct to two decimal places.)

Explanation / Answer

Solution1:

p=probability of getting is 1/6

n=50

its a binomil dist

mean=np=50*1/6=8.3

std deviation=sqrt(npq)

q=1-p=1-1/6=5/6

stddev=sqrt(50*1/6*5/6)

stddev=2.64

ANSWERS:

Ai)MEAN=8.3

Aii)STDDEV=2.64

Solution2bi:

p=1-0.98=0.02 defective

n=125

mean=np=125*0.02=2.5

stddev=sqrt(npq)

=sqrt(125*0.02*0.98)

stddev =1.57

NSWERS:

Bi)=2.5

Bii)1.57

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