Answer to Question #314713 in Statistics and Probability for Tenten

Question

The number of inquiries received per day by the Office of Admissions in a certain university is shown below. Find the variance

and standard deviation.

Number of inquiries: 20, 21,22,23,24,25, 26

Probability: 0.07, 0.17, 0.26, 0.31, 0.2, 0.13,0.12

Answer 1

Since

$0.07+0.17+0.26+0.31+0.2+0.13+0.12=1.26>1$ ,

the given probabilities cannot make a distribution. Hence variance and standard deviation cannot be calculated.