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American Public University **We aren't endorsed by this school

Course

MATH 302

Subject

Statistics

Date

Aug 27, 2023

Pages

7

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Week 3 Test - Results
Attempt 2 of 2
Written Jul 23, 2023 9:53 PM - Jul 23, 2023 10:28 PM
Attempt Score
20 / 20 - 100 %
Overall Grade (Highest Attempt)
20 / 20 - 100 %
Question 1
1 / 1 point
___
1.6___
Hide ques±on 1 feedback
Question 2
1 / 1 point
___
0.0328___
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Question 3
1 / 1 point
___
0.8555___
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Approximately 8% of all people have blue eyes. A random sample of 20 people is selected, find μ. Round to one
decimal place. Answer:
20*.08
It is known that 20% of adult workers have a high school diploma. If a random sample of 10 adult workers is
selected, what is the probability that 5 or more of them have a high school diploma? (That is, find P(X ≥ 5) (round
to 4 decimal places) Answer:
P(x ≥ 5) = 1 - P(x ≤ 4) , in Excel
=1-BINOM.DIST(4,10,0.2,TRUE)
It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is
selected, what is the probability that less than 6 of them have a high school diploma? (That is, what is P(X < 6)
(round to 4 decimal places) Answer:
P(x < 6) = P(x ≤ 5), in Excel
=BINOM.DIST(5,8,0.5,TRUE)

Question 4
1 / 1 point
___
0.1728___
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Question 5
1 / 1 point
___
0.0428___
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Question 6
1 / 1 point
The table shows a random sample of musicians and how they learned to play their instruments.
Gender
Self-Taught
Studied in School
Private Instruction
Total
Female
12
38
22
72
Male
19
24
15
58
Total
31
62
37
130
Find
P
(musician is a male AND had private instruction).
Hide ques±on 6 feedback
Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the P(X = 3) using
Excel. Round answer to 4 decimal places. Answer:
In Excel,
=BINOM.DIST(3,14,0.13,FALSE)
Approximately 10% of all people are left-handed. Out of a random sample of 15 people, what is the probability
that 4 of them are left-handed? Round answer to 4 decimal places. Answer:
P(x = 4), In Excel,
=BINOM.DIST(4,15,0.1,FALSE)
0.71
0.12
0.88
0.29
Good job, 15/130

Question 7
1 / 1 point
___
12650___
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Question 8
1 / 1 point
___
120___
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Question 9
1 / 1 point
You are going to a benefit dinner, and need to decide before the dinner what you want for salad, main dish, and
dessert. You have 2 different salads to choose from, 3 main dishes, and 5 desserts. How many different meals are
available? Answer:
Hide ques±on 9 feedback
Question 10
1 / 1 point
True or False:
The following table represents a valid discrete probability distribution.
x
1
2
3
4
5
How many ways can you choose 4 cookies from a cookie jar containing 25 cookies of all the same type? Leave
answer a whole number, do not include decimals or commas. Answer:
Order does not matter. In Excel,
=COMBIN(25,4)
You are opening a T-shirt store. You can have long sleeves or short sleeves, three different colors, five different
designs, and four different sizes. How many different shirts can you make? Leave answer as a whole number, do
not include decimals. Answer:
3*5*4 = 60
Long or short sleeve = 2*60
30
25
15
10
2*3*5

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