Question

finding the probabilities of multiple events
sheila does quality control for a company that manufactures lawn mower parts. on any given day, she finds the probability distribution for defective parts as shown in the table.
using the data from the table, what is the probability of having 2 defective parts in a day?
defective parts: x | 0 | 1 | 2 | 3
probability: p(x) | 0.85 | 0.10 | 0.04 | 0.01

Explanation:

Step1: Identify the relevant row

We look for the row where the number of defective parts \( X = 2 \).

Step2: Find the corresponding probability

In the table, when \( X = 2 \), the probability \( P(X) \) is given as 0.04. So the probability of having 2 defective parts in a day is 0.04.

Answer:

0.04