Question 1132755
n = 8, p = 0.25
:
Probability (P) (X < 4 out of 8 trials) = P(x=0 out of 8 trials) +P(x=1 out of 8 trials) +P(x=2 out of 8 trials) +P(x=3 out of 8 trials) = 0.1001 +0.2670 +0.3115 +0.2076 = 0.8862
:
Note P(k successes out of n trials) = nCk * p^k * (1-p)^(n-k), where nCk = n!/(k! * (n-k)!)
: