SOLUTION: 1. A supermarket manager has determined that the amount of time customers spend in the supermarket is approximately normally distributed with a mean of 45 minutes and a standard de

Algebra.Com
Question 779603: 1. A supermarket manager has determined that the amount of time customers spend in the supermarket is approximately normally distributed with a mean of 45 minutes and a standard deviation of 6 minutes. Find the probability that:
a. A customer spends less than 48 minutes in the supermarket(3pts)



b. Customer spends between 39 and 43 minutes in the supermarket(3pts)

Answer by tommyt3rd(5050)   (Show Source): You can put this solution on YOUR website!
a)
P(x < 48)=
P(z < (48-45)/6)=
P(z < 0.5)=0.6914

b)
P(39 < x < 43)=
P((39-45)/6 < z < (43-45)/6)=
P(-1 < z < -1/3)=0.2108

RELATED QUESTIONS

Q: The time spent by customers in a supermarket follows a normal distribution with mean... (answered by stanbon)
Executives of a supermarket chain are interested in the amount of time that customers... (answered by edjones,richard1234)
Suppose that the number of customers who enter a supermarket each hour is normally... (answered by Theo)
Executives of a supermarket chain are interested in the amount of time that customers... (answered by textot)
Type I and Type II errors Executives of a supermarket chain are interested in the amount (answered by stanbon)
customers arrive at a supermarket till at a rate of 2 every 10 minutes. find the expected (answered by jorel1380)
The management of a supermarket wants to adopt a new promotional policy of giving a free... (answered by Theo)
The management of a supermarket wants to adopt a new promotional policy of giving a free... (answered by ewatrrr)
Executives of a supermarket chain are interested in the amount of time that customers... (answered by stanbon)