Final answer:
To calculate the probability of obtaining at least four defectives in a sample of 10 parts, you can use the binomial distribution formula.
Step-by-step explanation:
To calculate the probability of obtaining at least four defectives in a sample of 10 parts, we can use the binomial distribution formula. Let's assume that the probability of obtaining a defective part is p.
In this case, p = 4/10 = 0.4, since there are four defectives in a sample of 10.
The formula for calculating the probability of at least k successes (in this case, defectives) in n trials (in this case, parts) is:
P(X ≥ k) = 1 - P(X < k)
Using this formula, we can calculate the probability of at least four defectives in a sample of 10 parts. I will calculate it for you.