January 30, 2017

Question

QUESTION 1

1. A standard card deck has 52 cards. Four are kings and four are queens. The probability of being dealt a queen from a deck of cards is 4/52. If this queen is replaced in the deck, what is the probability of being dealt a king on the second draw?

a.

0.06

b.

0.007

c.

1/12

d.

4/52

I choose B

QUESTION 2

1. The probability of producing a defective component for a Caterpillar soil compactor is 0.04. What is the probability of producing a non-defective (satisfactory) component?

a.

0.99

b.

0.96

c.

0.92

d.

0.93

I choose b

8 points

QUESTION 3

1. The National Center for Health Statistics reported that of every 900 deaths in recent years, 24 resulted from an auto accident, 182 from cancer and 333 from heart disease. What is the probability that a particular death is due to heart disease?

a.

0.37

b.

0.619

c.

0.027

d.

0.41

I choose a

8 points

QUESTION 4

1. A tire manufacturer advertises that the probability of a tire wearing out before 50,000 miles is 1/5. You purchased four of these tires and placed them on your truck. What is the probability that three of your tires will wear out before traveling 50,000 miles?

a.

0.008

b.

2/4

c.

0.01

d.

1/10

I choose c

9 points

QUESTION 5

1. A study by the Minnesota Department of Natural Resources revealed that 30% of the park goers hike and 20% kayak. What is the probability that a park visitor will hike or kayak?

a.

0.5

b.

0.6

c.

0.09

d.

0.7

I choose a

9 points

QUESTION 6

1. In a factory, 12% of the employees over 70 years of age needed hearing aids and 30% needed glasses and 13% needed both hearing aids and glasses. What is the percentage chance that an employee will need either a hearing aid or glasses?

a.

29%

b.

28%

c.

32%

d.

3%

I choose b

9 points

QUESTION 7

1. There are 10 light bulbs in a box and 3 are broken. Two bulbs are selected without replacement into the box. What is the probability of selecting a broken bulb followed by another broken bulb (selecting two defective bulbs)?

a.

1/5

b.

0.2

c.

1/45

d.

3/45

I choose d

9 points

QUESTION 8

1. A modular home manufacturer builds homes with four different interior plans and three different exteriors. How many different homes can be built?

a.

7

b.

26

c.

12

d.

20

I choose

c

c9 points

QUESTION 9

1. There are 8 models of computers that can be displayed on the Best Buy shelf. There are only four display areas, however. How many permutations are there for this display scenario?

a.

11

b.

210

c.

336

d.

1680

I choose d

9 points

QUESTION 10

1. There are several color combinations used for steel pole barn construction. There are 7 colors available and they are chosen 3 at a time for the exterior design. The trim, door, and walls having a different color? How many color combinations are there for the pole barns?

a.

120

b.

21

c.

35

d.

50

I choose c

9 points

QUESTION 11

1. A tree diagram indicates that 40% of students surveyed attend UCA and 60% attend Arkansas State. Of those attending Arkansas State, 70% drink and 30% do not drink. What is the probability that a student attends Arkansas State and drinks?

a.

0.36

b.

0.42

c.

0.18

d.

0.12

I choose B

9 points

QUESTION 12

1. The main purpose of applying descriptive statistics is to:

a.

Determine sample values

b.

Make predictions from data

c.

Determine if the population is distributed uniformly

d.

Summarize data in an informative manner

I choose d

9 points

QUESTION 13

1. The following is a discrete probability distribution of large parts produced on an assembly line. X is the number of parts and P(X) is the probability that part will be purchased in the next month. What is the mean of this distribution?

X P(x)

0 0.1

1 0.2

2 0.2

3 0.5

What is the mean of the distribution?

a.

1.6

b.

0.346

c.

2.1

d.

3.1

I choose a

9 points

QUESTION 14

1. In a Poisson distribution, the mean is equal to 5. What is the probability that x = 3?

a.

1.2

b.

0.43

c.

0.14

d.

0.28

I choose c

9 points

QUESTION 15

1. In the past, on average, the Minnesota Twins has cancelled a game once each year for snow/ice. What is the probability the Twins will cancel 2 times next year? Hint: Poisson.

a.

0.02

b.

0.10

c.

0.18

d.

0.23

I choose c

9 points

QUESTION 16

1. Assume we have a binomial random variable. There are three trials completed. The probability of a success is 0.3. What is the probability of finding Y=2 successes?

a.

0.342

b.

0.248

c.

0.189

d.

0.110

I choose c

9 points

QUESTION 17

1. A survey found that 10% of women who work outside the home drove a pickup truck. In a random sample of 4 women, what is the probability that one of those women drive a pickup truck? Hint: Binomial

a.

0.292

b.

0.189

c.

0.430

d.

0.210

I choose a

9 points

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