Phil dunphy, a real estate agent, is considering whether he should list an unusual $510,691 house for sale. if he lists it, he will need to spend $5,686 in advertising, staging, and fresh cookies. the current owner has given phil 6 months to sell the house. if he sells it, he will receive a commission of $15,720. if he is unable to sell the house, he will lose the listing and his expenses. phil estimates the probability of selling this house in 6 months to be 43%. what is the expected profit on this listing?

The lifetime of bulb should be 1623.074 hours or more to lie in the top 10%.        

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 1550 hours

Standard Deviation, σ =  57 hours

We are given that the distribution of lifetimes of the light bulbs is a bell shaped distribution that is a normal distribution.

Formula:

We have to find the value of x such that the probability is 0.10

Calculation the value from standard normal z table, we have,  

Thus, the lifetime of bulb should be 1623.074 hours or more to lie in the top 10%.