Question

Please read Binomial table and find the Probability.

n=4, k=1, P=0.15.

Question 14 options:

	0.5905
	0.6561
	0.3685

Answer 1

Solution

Given that ,

p = 0.15

1 - p = 0.85

n = 4

k = 1

Using binomial probability formula ,

P(X = k) = ((n! / k! (n - k)!) * p^k * (1 - p)^{n - k}

P(X = 1) = ((4! /1 ! (4-1)!) * 0.15¹ * (0.85)^4-1

=  ((4! / 1! (3)!) * 0.15¹ * (0.85)³

= 0.3685

Probability = 0.3685

The answer is 0.3685