MATH 534 Week 2
Addendum: Homework-Quiz
Review 2025
.
6 points
1
Q U ES TI O N 7
Given that Z is a standard normal random variable, what is the probability that Z -2.12?
A
0.98
.
30
B 0.01
. 7
C 0.48
.
30
D 0.96
. 6
6 points
Q U ES TI O N 8
If the sale of ice cream and pizza are independent, then as ice cream salesdecrease
by 60 percent during the winter months, pizza sales will A
.
beiunrelated.
B increase by 60
. percent.
C decrease by 40
. percent.
D increase by 40
. percent.
A. decrease by
60percent.
10 points
Q U ES TI O N 9
A company is considering producing some new Gameboy electronic games.Based on past
records, management believes that there is a 70 percent chance that each of these will
be successful and a 30 percent chance of failure. Market research may be used to revise
these probabilities. In the past, the successful products were predicted to be successful
based on market research 90 percent of the time. However, for products that failed,the
market research predicted these would be successes 20 percent of the time. If market
research is performed for a new product, what is the probability that the results indicate an
unsuccessful market for the product and the product is actually unsuccessful?
A =0.
. 63
, B i=0.
. 24
C =0.
. 07
D =0.
. 06
E.=0.
21
10 points
Q U ES TI O N 10
For the standard normal probability distribution, the area to the left of the mean is
A
= i0.5
.
B
= any value between
.
0 to 1
C
= -0.5
.
D=1
.
6 points
Q U ES TI O N
11
A major department store has determined that its customers charge an average of
$500 per month, with a standard deviation of $80. Assume theamounts of charges are
normally distributed.
a. What percentage of customers charges more than
$380 per month?
A = 16.50%
.
B = 84.50%
.
C = i93.32%
.
D = 6.68%
.
, What percentage of
customers charges
morethan $380 per
month?
P(x>380)=P(z>-1.50)=1-
0.06681=0.93319
z=(380-500)/80= -1.5
93.32%
8 points
Q U ES TI O N
12
Z is a standard normal random variable. What is the value of Z if the area to the right of Ziis
0.1112?
A 1.22
.
B 3.22
.
C 2.22
.
D 0.3888
.
6 points
Q U ES TI O N 13
Z is a standard normal random variable. The P(-1.96 Z -1.4) equals
A
0.4192
.
B 0.0558
.
C
0.8942
.
D
0.475
.
6 points
SAVE AND
SUBMIT
, Click Save and Submit to save and submit. Click Save All Answers to save all answers.
MODUL E 6 HW Q U ES TI O N 1
Addendum: Homework-Quiz
Review 2025
.
6 points
1
Q U ES TI O N 7
Given that Z is a standard normal random variable, what is the probability that Z -2.12?
A
0.98
.
30
B 0.01
. 7
C 0.48
.
30
D 0.96
. 6
6 points
Q U ES TI O N 8
If the sale of ice cream and pizza are independent, then as ice cream salesdecrease
by 60 percent during the winter months, pizza sales will A
.
beiunrelated.
B increase by 60
. percent.
C decrease by 40
. percent.
D increase by 40
. percent.
A. decrease by
60percent.
10 points
Q U ES TI O N 9
A company is considering producing some new Gameboy electronic games.Based on past
records, management believes that there is a 70 percent chance that each of these will
be successful and a 30 percent chance of failure. Market research may be used to revise
these probabilities. In the past, the successful products were predicted to be successful
based on market research 90 percent of the time. However, for products that failed,the
market research predicted these would be successes 20 percent of the time. If market
research is performed for a new product, what is the probability that the results indicate an
unsuccessful market for the product and the product is actually unsuccessful?
A =0.
. 63
, B i=0.
. 24
C =0.
. 07
D =0.
. 06
E.=0.
21
10 points
Q U ES TI O N 10
For the standard normal probability distribution, the area to the left of the mean is
A
= i0.5
.
B
= any value between
.
0 to 1
C
= -0.5
.
D=1
.
6 points
Q U ES TI O N
11
A major department store has determined that its customers charge an average of
$500 per month, with a standard deviation of $80. Assume theamounts of charges are
normally distributed.
a. What percentage of customers charges more than
$380 per month?
A = 16.50%
.
B = 84.50%
.
C = i93.32%
.
D = 6.68%
.
, What percentage of
customers charges
morethan $380 per
month?
P(x>380)=P(z>-1.50)=1-
0.06681=0.93319
z=(380-500)/80= -1.5
93.32%
8 points
Q U ES TI O N
12
Z is a standard normal random variable. What is the value of Z if the area to the right of Ziis
0.1112?
A 1.22
.
B 3.22
.
C 2.22
.
D 0.3888
.
6 points
Q U ES TI O N 13
Z is a standard normal random variable. The P(-1.96 Z -1.4) equals
A
0.4192
.
B 0.0558
.
C
0.8942
.
D
0.475
.
6 points
SAVE AND
SUBMIT
, Click Save and Submit to save and submit. Click Save All Answers to save all answers.
MODUL E 6 HW Q U ES TI O N 1