Question

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. 

 n=50, p = 0.02, x=2 

P(2) = _______ 

Answer 1

Solution :
Given that ,
p = 0.02
1 - p = 1 - 0.02 = 0.98
n = 50
Using binomial probability formula ,
P(X = 2) = ((50! / 2! (50 - 2)!) * 0.02² * (0.98)^{50 - 2}
P(2) = ((50! / 2! (48)!) * 0.02² * (0.98)⁴⁸ = 0.1858
Probability = 0.1858