Answer:
The probability of accepting the lot if none in the lot are defective is 1.
Step-by-step explanation:
A large lot of crankshaft bearings is accepted if 0 out of 7 are found defective. i.e. the probability of finding a defective crankshaft is 0.
Let X be the number of defective crankshafts. We need to find the probability that X=0. We will use the binomial distribution probability formula:
P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ
where n = total no. of trials
x = no. of successful trials
p = probability of success
q = probability of failure (1-p)
We have n=7, p=0, q=1.
P(X=0) = ⁷C₀ (0)⁰ (1)⁷⁻⁰
P(X=0) = 1
