Aproject 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

The correct answer is D) 3.

The mean is 3

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

x=6 and x=3

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step-by-step explanation:

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