Question #340970

According to one survey in India, 75% of Instagram users love REELS. Suppose that 25


Instagram users (randomly selected) have been approached in the university located in vile


parle. They have been asked about their status of like/ dislike the Instagram- REELS.


a) What is the probability that Exactly 15 of them would agree with the claim (or said they


love Insta-REELS)?


b) What is the probability that Exactly 20 of them would agree with the claim (or said they


love Insta-REELS)?

1
Expert's answer
2022-05-18T06:40:30-0400

Let X=X= the number of  users who love REELS: XBin(n,p).X\sim Bin(n, p).

Given n=205,p=0.75,q=1p=0.25.n=205, p=0.75, q=1-p=0.25.

a)


P(X=15)=(2515)(0.75)15(0.25)2515P(X=15)=\dbinom{25}{15}(0.75)^{15}(0.25)^{25-15}=0.04165835=0.04165835

b)


P(X=20)=(2520)(0.75)20(0.25)2520P(X=20)=\dbinom{25}{20}(0.75)^{20}(0.25)^{25-20}=0.16453759=0.16453759

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