Question

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)?

Answer 1

Let $X=$ the number of Instagram users who likes Insta-REELS: $X\sim Bin (n, p).$

Given $n=25, p=0.75, q=1-p=0.25$

a)

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

$$=0.04165835076$$

b)

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

$$=0.1645375882$$