SOLUTION: Suppose SPS professors have an average life normally distributed of 82 years, with a population standard deviation of 5 years. 
a) What percent of SPS professors will m
Algebra.Com
Question 579009: Suppose SPS professors have an average life normally distributed of 82 years, with a population standard deviation of 5 years.
a) What percent of SPS professors will make it past the age of 70?
b) What percent of SPS professors will not live more than 80 years?
c) Calculate the 95th percentile.
d) What proportion of SPS professors will live between 85 and 90 years?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose SPS professors have an average life normally distributed of 82 years, with a population standard deviation of 5 years.
a) What percent of SPS professors will make it past the age of 70?
z(70) = (70-82)/5 = -12/5
P(x > 70) = P(z > -12/5) = 0.9918
-------------------------------------------
b) What percent of SPS professors will not live more than 80 years?
z(80) = (80-82)/5 = -2/5
P(x <= 80) = P(z <= -2/5) = 0.3446
---------------------------------------------
c) Calculate the 95th percentile.
InvNorm(0.95) = 1.645
x = 1.645*5+82 = 90.225
--------------------------------------
d) What proportion of SPS professors will live between 85 and 90 years?
Using a TI-84: P(85<= x <=90) = normalcdf(85,90,82,5) = 0.2195
=============
Cheers,
Stan H.
RELATED QUESTIONS
Suppose SPS professors have an average life normally distributed of 73 years, with a... (answered by CPhill)
Life tests performed on a sample of 13 batteries of a new model indicated: (1) an average (answered by Boreal)
Suppose that the replacement times for washing machines are normally distributed with a... (answered by ewatrrr)
Suppose the life of a particular brand of calculator battery is normally distributed with (answered by ewatrrr)
Suppose the life of a particular brand of calculator battery is normally distributed with (answered by ewatrrr)
Suppose the life of a particular brand of calculator battery is normally distributed with (answered by ewatrrr)
(1 point) The weights of unicorns are normally distributed. Suppose that a simple random... (answered by CPhill)
The usual life of a computer terminal at a university computer center is known to be... (answered by stanbon)
Q.2 By using Normal Distribution, solve the following:
a) A certain type of battery... (answered by jim_thompson5910)