Answer: P(x = 7) = 0.00079
Explanation:
The formula for calculating binomial probability is expressed as
P(x) = nCx * p^x * q^(n - x)
where
n = number of trials
x = number o successes
p = probability of success
q = probability of failure = 1 - p
From the information given,
n = 10
p = 0.2
q = 1 - 0.2 = 0.8
x = 7
Thus,
P(x = 7) = 10C7 * 0.2^7 * 0.8^(10 - 7)
P(x = 7) = 0.00079
