Answer to Question #301089 in Statistics and Probability for Jill

Question

Make a study about how many sheets of paper you consumed weekly in answering

your Self Learning Modules. Record the quantity (total number of sheets) per subject, then

construct a probability distribution. Compute the mean, variance, and the standard deviation

of the probability distribution you made. Interpret the result, then find out how many weeks

you will consume 50 sheets of pad paper.

Answer 1

we define the following as my observations

number of subjects(x) p(x)

1 0.15

2 0.28

3 0.14

4 0.26

5 0.17

Mean number of sheets $\mu = \sum X. P(X)=0.15+0.56+0.42+1.04+0.85=3.02$

Variance $\sigma^2=$ $\sum[X^2.P(X)]-\mu^2= [0.15+1.12+1.26+4.16+4.25]-3.02$

$=10.94-3.02=7.92$

Standard Deviation $\sigma = \sqrt{7.92}=2.81$

So, no. of weeks required to use 50 sheets of paper = $\dfrac{50}{3.02}=16.56 \approx 17 \ weeks$