Answer:
(a) 93.19%
(b) 267.3
Step-by-step explanation:
The population mean and standard deviation are given as 502 and 116 respectively.
Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.
(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

Thus, the required percentage is 93.19%
(b)
The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

So,
Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.
Answer:
0.624
Step-by-step explanation:
Given that:
Number of copiers with the company = 4
It is a binomial experiment.
Probability that on a given day, one copier will break down = 
= 0.46
= 0.54
<em>Formula for Binomial probability:
</em>

We have to find 



Plug x = 3 into the first piece to get
2(x+1) = 2*(3+1) = 2*4 = 8
Do the same for the last piece
x^2 - 1 = 3^2 - 1 = 9-1 = 8
So as we approach x = 3 from either the left or right side, the limiting value is 8
The final answer is 8