Reference no: EM132167065

1)Some variable X is normally distributed with mean 85 and standard deviation 13. Use the normal distribution tables to determine the probability that the variable X is less than 114:

First transform to standard normal distribution values:  z=?

Then the probability that X<114 is  P(X<114)=?

2)The average sunshine hours per year in a city have a normal distribution with a mean of 1,193 hours and a standard deviation of 104 hours. Use the normal distribution tables to determine the probability that the sunshine hours per year are:

•  Less than 1,433.24 hours :

 P(x<1,433.24)=

•  Between 1,210.68 and 1,318.84 hours:

P(1,210.68<x<1,318.84)=

• More than 1,318.84 hours:

P(x>1,318.84)=

Keep 2 decimal points in the calculation of the standard normal variable (z).