The formula for calculating binomial probability is expressed as
P(x) = nCx * p^x * q^(n - x)
where
n represents number of trials
p represents probability of success
q represents probability of failure
x represents number of successes
From the information given,
n = 5
p = 0.479
q = 1 - p = 1 - 0.479 = 0.521
For x = k = 0,
P(x = k = 0) = 5C0 * 0.479^0 * 0.521^(5 - 0)
P(x = k = 0) = 0.0384
For x = k = 1,
P(x = k = 1) = 5C1 * 0.479^1 * 0.521^(5 - 1)
P(x = k = 1) = 0.1765
For x = k = 2,
P(x = k = 2) = 5C2 * 0.479^2 * 0.521^(5 - 2)
P(x = k = 2) = 0.3245
For x = k = 3,
P(x = k = 3) = 5C3 * 0.479^3 * 0.521^(5 - 3)
P(x = k = 3) = 0.2983
For x = k = 4,
P(x = k = 4) = 5C4 * 0.479^4 * 0.521^(5 - 4)
P(x = k = 4) = 0.1371
For x = k = 5,
P(x = k = 5) = 5C5 * 0.479^5 * 0.521^(5 - 5)
P(x = k = 5) = 0.0252