Answer:
a: no the sample size is too small
b: Yes, the distribution is normal with a mean of 40 and standard deviation of 12
Step-by-step explanation:
a: If n < 30, we need to know that the sample is normally distributed or else we can't determine anything. When sample sized get very large, they usually resemble normally distributed data sets so we can still make conjectures even if the data isn't officially normally distributed
b: The question tells us that the sample is normally distributed, so even though n < 30, we can still make conjectures about the population
Answer:
The probability that a randomly selected call time will be less than 30 seconds is 0.7443.
Step-by-step explanation:
We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.
Let X = caller times at a customer service center
The probability distribution (pdf) of the exponential distribution is given by;

Here,
= exponential parameter
Now, the mean of the exponential distribution is given by;
Mean =
So,
⇒
SO, X ~ Exp(
)
To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;
; x > 0
Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)
P(X < 30) =
= 1 - 0.2557
= 0.7443
624 is how much is deducted from his pay every month
The slope of line passing through the points (4, 4) and (10, 7) is 
<em><u>Solution:</u></em>
Given that, we have to find the slope of line that passes through the points (4, 4) and (10, 7)
The slope of line passing through
and
is given as:

Given two points are (4, 4) and (10, 7)

Substituting the values in formula, we get

Reducing to lowest terms, we get

Thus slope of line passing through given points is 
Answer:
m=4
Step-by-step explanation:
BC i just learned this