Let X be a binomial distribution with n = 50 and p = .23 what is...

Question

Question

Let X be a binomial distribution with n = 50 and p = .23 what is the probability that x = 10, that is P(X=10)=

Group of answer choices

a) 0.023

b) 2.3

c) 0.12

d) 0.20

math Statistics-And-Probability

Answer 1

Answer #1

Solution

Given that ,

Using binomial probability formula ,

P(X = x) = (_n C _x) * p^x * (1 - p)^{n - x}

P(X = 10) = (50 C 10) * 0.23¹⁰ * (0.77)⁴⁰

= 0.12

Probability = 0.12

option c) is correct

Answer 2

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