Question

Does listening to soothing music help employees concentrate better? A psychologist studied the number of puzzles employees of a large business were able to solve in a five-minute period while listening to soothing music. Let X be the number of puzzles completed successfully by a subject. The psychologist found that X had the following probability distribution.

#Puzzles completed Probability
0 0.06
1 0.16
2 0.19
3 0.32
4 0.24
5 0.03
What is the expected number of puzzles completed by an employee ?

Answer 1

Total puzzles solved expected by an employee: 2.61

Step-by-step explanation:

we multiply each outcome by the probability adn then add them together. Thus, we are doing a weighted-average

0 x 0.06 = 0.00

1 x 0.16 = 0. 16

2 x 0.19 = 0.38

3 x 0.32 = 0.96

4 x 0.24 = 0.96

5 x 0.03 = 0. 15

Total puzzles 2.61