SOLUTION: The duration of phone calls to a Calling Centre is normally distributed with a mean of seven minutes and a standard deviation of two minutes. Calculate the probability that a p

Algebra ->  Probability-and-statistics -> SOLUTION: The duration of phone calls to a Calling Centre is normally distributed with a mean of seven minutes and a standard deviation of two minutes. Calculate the probability that a p      Log On


   



Question 914107: The duration of phone calls to a Calling Centre is normally distributed with a mean of
seven minutes and a standard deviation of two minutes. Calculate the probability that a
phone call to the Calling Centre last for between 5 to 10 minutes.
(b) A recent survey found that 56% of mobile phone users, between the ages of 18 to 34,
had a smartphone. Suppose a random sample of 100 mobile phone users were selected.
What is the probability that less than 50 of them have a smartphone?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
z+=blue+%28x+-+mu%29%2Fblue%28sigma%29 mean = 7, sd = 2
P( 5 < x < 10) = normalcdf(-100, 3/2) - normalcdf(-100, -1) = .9332 - .1587 = .7745 0r 77.45%
0r may Use
P( 5 < x < 10) = normalcdf(-1, 3/2)
P( 5 < x < 10) Area between the green lines (z = -1 and z = 1.5)

..........
z+=blue+%28x+-+mu%29%2Fblue%28.56%2A.44%2Fsqrt%28100%29%29%29
b) P( x < .50) = normacdf(-100, -1.2087) = .1134 0r 11.34%
z+=blue+%28.50+-+.56%29%2Fsqrt%28.56%2A.44%2F%28100%29%29 = -1.2087