Question

A company introduced a much smaller variant of its tablet, known as the tablet junior. Weighing less than 11 ounces, it was about 50% lighter than the standard tablet. Battery tests for the tablet junior showed a mean life of 10.25 hours. Assume that battery life of the tablet junior is uniformly distributed between 8.5 and 12 hours. What is the probability that the battery life for a tablet junior will be 9.5 hours or less?

Answer 1

0.2857

Explanation:

Given that a company introduced a much smaller variant of its tablet, known as the tablet junior.

The weight was less than 11 oz. i.e. 50% lighter than std.

Let X be the battery life of the tablet junior

Then X is U(8.5,12)

Mean of X =10.25 hrs

the probability that the battery life for a tablet junior will be 9.5 hours or less

=
`P(X\leq 9.5)\\=F(9.5)\\=(9.5-8.5)/(12-8.5) \\=0.2857`