Question

A recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours. Given this information, what is the probability that a deliberation will last between 10 and 15 hours?

Answer 1

Answer:

0.3999

Step-by-step explanation:

Given that a  recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.

Given this information, we are to find  the probability that a deliberation will last between 10 and 15 hours

Let X be the length of time that juries deliberate on a verdict for civil trials

10<x<15 can be converted into Z form as

$\frac{10-12.56}{6.7} <z<\frac{15-12.56}{6.7}\\=(-0.382<z<0.678)$

Prob = F(0.678)-F(-0.382) =0.3999

(where F represents cumulative probabilities upto that value)