Your company assigned two accident insurance plans (Plan 1 and Plan 2) among the full-time and part-time staffs. There are 70% of full-time staffs in the company and 60% of staffs had been assigned in Plan 2. Given Plan 1, the probability for full-time staff is 0.75 and the probability for part-time staff is 0.25. The company assigned Plan 2 to part-time staffs with the probability of 0.2.
Your company assigned two accident insurance plans (Plan 1 and Plan 2) among the full-time and part-time staffs. There are 70% of full-time staffs in the company and 60% of staffs had been assigned in Plan 2. Given Plan 1, the probability for full-time staff is 0.75 and the probability for part-time staff is 0.25. The company assigned Plan 2 to part-time staffs with the probability of 0.2.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
Related questions
Question
Your company assigned two accident insurance plans |
(Plan 1 and Plan 2) among the full-time and part-time |
staffs. There are 70% of full-time staffs in the company |
and 60% of staffs had been assigned in Plan 2. Given |
Plan 1, the |
probability for part-time staff is 0.25. The company |
assigned Plan 2 to part-time staffs with the probability |
of 0.2. |
a. What is the probability of a full-time staff with Plan |
1 accident insurance? |
b. What is the probability of a part-time staff with Plan |
1 or Plan 2? |
c. If two staffs were selected, what is the probability of |
both of them assigned with Plan 1? |
Expert Solution
Step 1
Let us denote the following events:
P1: Plan 1 accident insurance is assigned.
P2: Plan 2 accident insurance is assigned.
A: The staff is a full timer.
B: The staff is a part timer.
The given probabilities are as follows:
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