Answer:
a) 0.394
b) 0.430
c) 0.981
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ (1−p)ⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
and p is the probability of success.
Here, n = 3 and p = 4/15.
r is the number of defective tablets.
a) If r = 0:
P = ₃C₀ (4/15)⁰ (1−4/15)³⁻⁰
P = 1 (1) (11/15)³
P = 0.394
b) If r = 1:
P = ₃C₁ (4/15)¹ (1−4/15)³⁻¹
P = 3 (4/15) (11/15)²
P = 0.430
c) If r ≠ 3:
P = 1 − ₃C₃ (4/15)³ (1−4/15)³⁻³
P = 1 − 1 (4/15)³ (1)
P = 0.981
