SOLUTION: For a normal distribution with a mean of µ = 100 and a standard deviation of ó = 10, find each of the following probabilities:
a. p(X > 102) c. p(X < 130)
b. p(X < 85) d.
Algebra.Com
Question 1158486: For a normal distribution with a mean of µ = 100 and a standard deviation of ó = 10, find each of the following probabilities:
a. p(X > 102) c. p(X < 130)
b. p(X < 85) d. p(95 < X < 105)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
so X>102 is z=(102-100)/10 with a z value > 0.2 or probability of 0.4207
x<85 is z value <-1.5 or probability of 0.0668
x< 130 is z<3 or probability 0.9987
d is z value between -.5 and +.5 or probability of 0.3829
RELATED QUESTIONS
For a normal distribution with mean of 100 and a standard deviation of 12, find the... (answered by rothauserc)
The normal distribution below has a mean of 300 and a standard deviation of 10. Calculate (answered by Boreal)
In a normal distribution with a mean of 90 and a standard deviation of 10, approximately... (answered by Fombitz)
A normal distribution with a mean of 25 and standard deviation of 5. What is the... (answered by FrankM)
For a normal distribution with µ = 500 and σ = 100, find the following values:
a. (answered by stanbon)
Consider a normal distribution with a mean of 10 and standard deviation of 25. What’s the (answered by jim_thompson5910)
for a normal distribution with a mean of 20 and standard deviation of 5, what percent of... (answered by swincher4391)
for the distribution with a mean of 100 and a standard deviation of 15, the normal curve... (answered by ikleyn)
If a normal distribution has a mean of 20 and a standard deviation of 10,... (answered by Fombitz)