A population is normally distributed with a mean of 100 and a standard deviation of 10. For samples of size 25, what is the probability of randomly sampling and finding a sample mean of 99 or more

The value is  

Step-by-step explanation:

From the question we are told that

    The  mean is  

     The standard deviation is  

       The  sample size is  n  =  25

The standard deviation of the sampling distribution is  

=>      

=>      

=>      

Generally the probability of randomly sampling and finding a sample mean of 99 or more is mathematically represented as

Here  

=>    

From the z table probability of  (Z <  -0.5  ) is  

Generally  

=>    

the answer would be 1 1/72

step-by-step explanation:

you can rewrite the equation by separating the parts and then solving individually:

10-9=1

1/8 - 1/9=

find l c d and then combine:

1 1/72

arc length = radius * x ( in radians)

6 * pi = 18 * x

divide by 18 on each side

6 pi / 18 = x

pi/3 = x

the angle is pi / 3 radians

or   60 degrees