recent Wall Street Journal article indicated that 40% of American teenagers use

Question

recent Wall Street Journal article indicated that 40% of American teenagers use Pandora's online radio service. Suppose a sample of 25 merican teenagers are selected. (See exercise 38 on page 249 in your textbook for similar problem.) Based on this information, generate a umulative binomial probability distribution in the given space on the Pandora sheet in this workbook to answer the following questions. Each range numerical answer cell below MUST reference Excel output cells in the Pandora Sheet. Question 5 Find the probability that exactly 13 American teenagers do not use Pandora'sonline radio service. Question Find the probability that more than 40 but at most 80% ofthese American teenagers use Pandora's online radio service. Question 7 Find the probability that no less than 6 American teenagers use Pandora's online radio service. Question 8 Find the probability that at least 12 American teenagers do not use Pandora's online radio service. HWNotes l HwExcelDirections LHw Pandora l a a Ask me anything O

Explanation / Answer

Question 5

We are given n = 25, p = 1 – 0.40 = 0.60 (probability for do not use)

We have to find P(X=13)

P(X=x) = nCx*p^x*q^(n – x)

Where, q = 1 – p = 1 – 0.60 = 0.40

P(X=13) = 25C13*0.60^13*0.40^(25 – 13)

P(X=13) = 25C13*0.60^13*0.40^12

P(X=13) = 0.11395

Required probability = 0.11395

Question 6

We are given n = 25, p = 0.40

40% of 25 = 25*0.40 = 10

80% of 25 = 25*0.80 = 20

We have to find P(10<X20)

P(10<X20) = P(X20) – P(X10)

P(X20) = 0.999992 (by using binomial table or excel)

P(X10) = 0.585775 (by using binomial table or excel)

P(10<X20) = P(X20) – P(X10)

P(10<X20) = 0.999992 – 0.585775

P(10<X20) = 0.414217

Required probability = 0.414217

Question 7

We are given n = 25, p = 0.40

We have to find P(X6)

P(X6) = 1 – P(X<6) = 1 – P(X5)

P(x5) = 0.029362 (by using binomial table or excel)

P(X6) = 1 – P(X<6) = 1 – P(X5)

P(X6) = 1 – 0.029362

P(X6) = 0.970638

Required probability = 0.970638

Question 8

We are given n = 25, p = 0.60

We have to find P(X12)

P(X12) = 1 – P(X<12) = 1 – P(X11)

P(X11) = 0.077801 (by using binomial table or excel)

P(X12) = 1 – P(X<12) = 1 – P(X11)

P(X12) = 1 – 0.077801

P(X12) = 0.922199

Required probability = 0.922199

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