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Blank High Quality fans tea Logo Designer Poabe Free 11/2/17 9:09 PM Free vecto Apps Glass Etching-Glass Submit Quiz Time Remaining: 02:48:49 This Quiz: 8 pts possible Quiz: Q 09 2016(°complete) This Question: 1 pt than one from a fim, some firms were not represented) was formed to reach an a new protocol. Assume that the working group is chosen without regard to whether a designer's fim uses Protocol A There are only 14 software fims that design a certain kind of sofhware. Of these, 4 use Protocol A in their software. A working group of 5 designers (no more Use four deci al places) at is the mean number of designers on the working group that are from firms that use Protocol A? (Use one decimal place in your answer) cWhat is the variance of the number of designers that are from fi what is the probablity that exactly 0 of the designers on the working go up will be from rms that use P otocol A? a on the working group that are fom firms that use Protocol A? (Use two decimal places in your answer)

Explanation / Answer

Solution: Here we have given ,  

p = Probability of success = 4 / 14 = 0.29

n = sample size = 5

We can use Binomial distribution for finding probabilities.

(a) We have to find P ( X = 0 ) = .............?

Using excel, =BINOMDIST(0,5,0.29,FALSE)

P ( X = 0 ) = 0.1804

(b) We ahve to find mean.

Formula: Mean = n*p

Hence mean = 5*0.29 = 1.5

(c) We have to find Variance

Formula: Variance = n * p * (1-p )

Hence Variance = =5*0.29*(1-0.29) = 1.03

Done

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