a research claims that 30% of people, who purchase items on the web of a specific store, return it. if we pick 5 people who purchase via the web, what is the probability that less than 2 will return their purchase? assume the binomial situation. p(x<2)



Answer :

The probability that less than 2 people will return the purchased items on the web be, 0.52822

Given, a research claims that 30% of people, who purchase items on the web of a specific store, return it.

Now, if we pick 5 people who purchase via the web,

then we have to find the probability that less than 2 will return their purchase

we have to find, P(X < 2)

Now, n = 5

p = 0.3

q = 0.7

P(X < 2) = P(X = 0) + P(X = 1)

P(X < 2) = C(5 , 0)(0.3)^0(0.7)^5 + C(5 , 1)(0.3)^1(0.7)^4

P(X < 2) = (0.16807) + (0.2401)(0.3)(5)

P(X < 2) = 0.16807 + 0.6015

P(X < 2) =  0.52822

So, the probability that less than 2 will return be, 0.52822

Hence, the probability that less than 2 will return be, 0.52822

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