A textile manufacturing process finds that on average 3 flaw

A textile manufacturing process finds that on average, 3 flaws occur per every 260 yards of material produced.

a. What is the probability of exactly 1 flaws in a 260-yard piece of material? (Round your intermediate calculations and final answer to 4 decimal places.) Probability

b. What is the probability of no more than 2 flaws in a 260-yard piece of material? (Round your intermediate calculations and final answer to 4 decimal places.) Probability

c. What is the probability of no flaws in a 130-yard piece of material? (Round your intermediate calculations and final answer to 4 decimal places.) Probability

When answering could you please explain how you derive at the answer? When it is shown for example, as     P(X=5)=(6^5)*exp(-6)/5! = 0.1606231 I am not sure how to compute that to get that answer of 0.1606231. Thank you.

Solution