Question

A survey found that people keep their televisions an average of 5.1 years. The standard deviation is 0.85 year. If a person decides to buy a new TV, find the probability that he or she owned the old one for the given amount of time. Assume the random variable is normally distributed.

Answer 1

`P(x<4.4)=0.50`

Explanation:

From the question we are told that:

Mean
`\=x =5.1 year`

Standard deviation
`\sigma=0.85`

Generally the equation for Z value is mathematically given by

`Z = (4.4 - 4.4) / 0.73`

`Z= 0`

Therefore

From table

`P(x<4.4)=0.50`