Question

Tallula's Electronics Inc. produces electric razors. The proportion of electric razors that are defective is 8.00%. If a sample of 736 razors is studied, what is the probability that fewer than 7.5679347% are defective?

Answer 1

To find the probability that fewer than 7.5679347% of the electric razors are defective, use the binomial probability formula to calculate cumulative probabilities for each value of X up to 7.

Step-by-step explanation:

To find the probability that fewer than 7.5679347% of the electric razors are defective, we need to calculate the cumulative probability of 0, 1, 2, 3, 4, 5, 6, and 7 defective razors. We'll use the binomial probability formula to calculate each probability:

P(X < 8) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7).

Using a binomial probability calculator, we can input the values of n (736), p (0.08), and find the cumulative probability for each value of X. Adding up these probabilities will give us the desired result.