JED Corp., an e-commerce company, has created a network that supports its supply chain management system. The network provides t
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Answer:
a. P(1 Sports illustrated and 3 Newsweek) =
b. P(at least 2 Newsweek) =
We follow these steps to arrive at the answer:
The total number of magazines is
Of these we need to choose 4 books randomly. Since order doesn’t matter here, we use combinations.
There are ways to choose 4 books.
1. 1. We need to choose 1 Sports illustrated and 3 newsweeks.
We can choose 1 Sports illustrated from 5 in ways.
We can choose 3 issues of Newsweek in ways.
So,
2.<u> P(at least 2 Newsweek)</u>
Here we divide the number of books into two categories. One is the Newsweek Magazines (6), the other group consists of all other books (8).
Now, if we have to find P(no newsweek), we first need to find the number of ways we can select 4 books from the group that does NOT contain Newsweek magazines.
We can calculate that by:
So,
We can compute P(1 Newsweek) as follows:
We can choose 1 Newsweek in
We can choose 3 other books in
Since
,