Question

A binomial probability experiment is conducted with the given parameters. Use technology to find the probability of x successes in the n independent trials of the experiment.

n=66​,

p=0.65

x<4

P(X<4)=?

Answer 1

Solution:- Given that n = 6, p = 0.65, x < 4

P(X < 4) = P(0)+P(1)+P(2)+P(3)
= 0.0018+0.0205+0.0951+0.2355
= 0.3529
-------------

P(0) = 6C0*0.65^0*0.35^6 = 0.0018
P(1) = 6C1*0.65^1*0.35^5 = 0.0205
P(2) = 6C2*0.65^2*0.35^4 = 0.0951
P(3) = 6C3*0.65^3*0.35^3 = 0.2355