Solution Found!
Students Using the Math Lab The number of students using
Chapter 5, Problem 9E(choose chapter or problem)
The number of students using the Math Lab per day is found in the distribution below. Find the mean, variance, and standard deviation for this probability distribution.
\(\begin{array}{l|ccccc} \boldsymbol{X} & 6 & 8 & 10 & 12 & 14 \\ \hline \boldsymbol{P}(\boldsymbol{X}) & 0.15 & 0.3 & 0.35 & 0.1 & 0.1 \end{array}\)
What is the probability that fewer than 8 or more than 12 use the lab in a given day?
Questions & Answers
QUESTION:
The number of students using the Math Lab per day is found in the distribution below. Find the mean, variance, and standard deviation for this probability distribution.
\(\begin{array}{l|ccccc} \boldsymbol{X} & 6 & 8 & 10 & 12 & 14 \\ \hline \boldsymbol{P}(\boldsymbol{X}) & 0.15 & 0.3 & 0.35 & 0.1 & 0.1 \end{array}\)
What is the probability that fewer than 8 or more than 12 use the lab in a given day?
ANSWER:Step 1 of 3
We have to find the Mean, Variance and Standard deviation of the given distribution
The given distribution is
|
(X) |
6 |
8 |
10 |
12 |
14 |
|
P(X) |
0.15 |
0.3 |
0.35 |
0.1 |
0.1 |
Mean
\(\begin{aligned}&=E(X)\\ &=x\times P(x)\\ &=6(0.15)+8(0.3)+10(0.35)+12(0.1)+14(0.1)\\ &=9.4\end{aligned}\)