SOLUTION: You have a Normal Distribution with mean = 70 and standard deviation = 4. If you make one selection from this population, what is the probability that you get: a. a measurement o

Question 333209: You have a Normal Distribution with mean = 70 and standard deviation = 4. If you make one selection from this population, what is the probability that you get:
a. a measurement of 72?
b. a measurement between 71.5 and 72.5?

Thanks for the help!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You have a Normal Distribution with mean = 70 and standard deviation = 4. If you make one selection from this population, what is the probability that you get:
a. a measurement of 72?
P(x=72) = 0
Note: In a continuous distribution the probability
of any single value is zero.
-----------------------------
b. a measurement between 71.5 and 72.5?
z(71.5) = (71.5-70)/4 = 1.5/4 = 0.3750
---
z(72.5) = (72.5-70)/4 = 2.5/4 = 0.6250
-----
P(71.5 <= x <=72.5) = P(0.3750<= z <= 0.6250) = 0.0878
=============================
Cheers,
Stan H.
===============

RELATED QUESTIONS
A distribution of values is normal with a mean of 70 and a standard deviation of 25. From (answered by Boreal)

Good morning everyone, I have a hard time finding a answer for this question. I assumed... (answered by rothauserc)

Suppose you have a normal distribution of values with a mean of 70 and a standard... (answered by mathmate)

Let's say you have scores on a IQ test that form a normal distribution with a mean of 100 (answered by jim_thompson5910)

A)If a normal distribution has a mean of 343.11 and standard deviation of 110.24, what is (answered by Boreal)

A random sample is drawn from a population with mean μ = 55 and standard deviation σ =... (answered by Boreal)

1. Convert x = 70 to z-score if Normal Distribution has mean = 50 and Standard Deviation (answered by ewatrrr)

A random sample of size 20 drawn from a normal distribution has a sample mean of 8 and a... (answered by stanbon)

A distribution of values is normal with a mean of 210 and a standard deviation of 23.... (answered by Theo)