Answer:
0.107
0.733
Step-by-step explanation:
Part A) Use binomial probability.
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
n = 50, r = 17, p = 0.31, q = 0.69.
P = ₅₀C₁₇ 0.31¹⁷ 0.69⁵⁰⁻¹⁷
P ≈ 0.107
Or, using binompdf function in a calculator:
binompdf(n, p, r)
= binompdf(50, 0.31, 17)
≈ 0.107
Part B) This time, you'll need to use the binomcdf function in a calculator.
binomcdf(n, p, r)
= binomcdf(50, 0.31, 17)
≈ 0.733
