Question

PLEASE HELPPPPPPP!


A set of 750 data points are normally distributed with a mean of 500 and a standard deviation of 35.



a) What is the probability that a value will be between 430 and 500?

b) What is the probability that a value will be above 535?

c)How many data points have values between 465 and 500?

Answer 1

so, you will need to figure out

CDF(500)-CDF(430)

Answer 2

i subtract those two numbers ?

Answer 3

yes, cdf of those two numbers but I doubt you have them

Answer 4

I dont know what cdf is

Answer 5

that's ok, we will work through this

Answer 6

now , let's find Z score of your distribution

Z= X- mean
------------------
standard deviation

Z= X- 500
-----------
35

Answer 7

we have two x value 500 and 430

Z=500-500/35= 0

Z= 430-500/35 =-2

now we look at table

Z(0)= .5

Z(-2)=.9772

.9772-.5=.4772