Question

A project is graded on a scale of 1 to 5. If the random variable, X, is the project grade, what is the mean of the probability distribution below?
                     Probability Distribution

.45    |
.4      |                            ~
.35    |                            ~
.3      |                            ~
.25    |                            ~
.2      |                ~          ~          ~
.15     |                ~          ~          ~
.1       |    ~          ~          ~          ~          ~
.05    |    ~          ~          ~          ~          ~
0       |__~____~_____~_____~____~____
              1          2          3          4          5
                                 X
Answer Choices:  A. 0.2  B. 0.4   C. 1  D. 3

Answer 1

The correct answer is D) 3.

The mean is 3

Answer 2

Answer:

3

Step-by-step explanation:

Given that A project is graded on a scale of 1 to 5.

If the random variable, X, is the project grade, we have to find  the mean of the probability distribution below

Since X takes values as 1,2,3,4,5

from the picture given we find the frequency distribution of X

X    1    2     3     4    5     Total

f     2    4     8     4    2       20

fx    2    8    24   16  10      60

Mean =60/20 =3

Hence answer is 3