A lot of 50 items has 40 good items and 10 bad items.
1
(a) Suppose we test five samples from the lot, with replacement. Let X be the
number of defective items in the sample. Find P[X = k].
(b) Suppose we test five samples from the lot, without replacement. Let Y be the
number of defective items in the sample. Find P[Y = k].

Let's tackle the problem step by step. We'll address part (a) first, where the sampling is done **with replacement**, and then move on to part (b), where the sampling is done **without replacement**.

### Part (a): Sampling **with Replacement**
Let \( X \) be the number of defective items in the sample when we test five items with replacement.

Given:
- Total items = 50
- Good items = 40
- Bad (def

Understand the probability of selecting defective items from a lot of 50 items, with 40 good items and 10 bad items. Part (a) covers sampling with replacement, while part (b) covers sampling without replacement. Learn the mathematical approach to calculate these probabilities.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation