Answer: b. 0.98
Step-by-step explanation:
The formula to find the maximum error of the estimated mean :
(1)
, where
= standard deviation
n= Sample size
z* = Critical z-value.
As per given , we have

n=100
Critical value for 95% confidence interval = z*=1.96
Put these values in the formula (1), we get


Hence, the maximum error of the estimated mean quality for a 95% level of confidence is 0.98.
Therefore , the correct answer is b. 0.98 .
Answer: $15.51
Step-by-step explanation: 28.2 times 0.55 is $15.51

has CDF

where

is the CDF of

. Since

are iid. with the standard uniform distribution, we have

and so

Differentiate the CDF with respect to

to obtain the PDF:

i.e.

has a Beta distribution

.
Answer:

Step-by-step explanation:
First, rewrite the given equation in the form of y=mx+c.
m is the gradient while c is the y-intercept.
3x-5y=8
5y= 3x -8

Thus, the gradient of the given equation is ⅗.
The product of the gradients of perpendicular lines is -1.
(gradient of line)(⅗) = -1
gradient of line= -1 ÷⅗
gradient of line= 

To find the value of c, substitute a coordinate.
When x=3, y=7,

7= -5 +c
c= 7+5
c= 12
Hence, the equation of the line is
.