Expert answer:Binomial distribution question

Expert answer:This is an binomial distribution question I need assistance with.
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Binomial Distribution
A. For the annual programming competition a company will provide tshirts for the coaches: Purple and
blue. From previous years we that 60% of coaches choose a purple shirt, the rest choose blue.
Unfortunately, the company told us they can only make 4 purple shirts.
a) What is the probability that out of 8 coaches exactly 4 want a purple shirt?
Look-up for n = _____, k = ______, p = ______ Value: _____________
Answer: _______________________________________________
b) What is the probability that out of 8 coaches not more than 4 want a purple
shirt?
Look-up for n = _____, k = ______, p = ______ Value: _____________
Look-up for n = _____, k = ______, p = ______ Value: _____________
Look-up for n = _____, k = ______, p = ______ Value: _____________
Look-up for n = _____, k = ______, p = ______ Value: _____________
Look-up for n = _____, k = ______, p = ______ Value: _____________
Computation: ___________________________________________
Answer: ________________________________________________
B. Paper Plates Pandemonium delivers paper plates with a mean diameter of 8 inches.
Since they’re about to go public they have to demonstrate to the potential stock buyers
that they can manufacture these plates within tight tolerances.
Wall Street will never accept paper plates that don’t obey the standard of 90% being
between between 7.7 and 8.1 inches.
PPP quality control produced data showing that standard deviation in diameter of
the plates in question is 0.25 inches. How many percent of PPP’s production can be
assumed to be within Wall Street’s tolerances?
Computation of z1:
z1 :
Computation of z2:
z2 :
Table look-up for z1: ____________________________________
Table look-up for z2: ____________________________________
Computation of resulting probability:
Probability of plate being between 7.7 and 8.1 inches:
…
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