Question 1

Given the ogive graph titled 'Leisure Time of College Students,' approximately how many students are in the sample?

Accepted Answer

80

Question 2

Use the following frequency distribution to answer the questions:

Weight (in pounds):
135-139: 6
140-144: 4
145-149: 11
150-154: 15
155-159: 8

(a) What is the class width?
(b) What is the class midpoint of the first class?
(c) What are the class boundaries of the first class?

Accepted Answer

(a) 5
(b) 137
(c) 134.5-139.5

Question 3

The mean score of a placement exam is 80, with a standard deviation of 10. Using the Empirical Rule, what percentage of scores lie between 60 and 80 (assuming a bell-shaped distribution)?

Accepted Answer

47.5\%

Question 4

If one card is drawn from a standard deck of 52 playing cards, what is the probability of drawing an ace?

Accepted Answer

$$\frac{1}{13}$$

Question 5

A pizza restaurant has the following probability distribution for the number of toppings $$x on a $$large pizza:

$$x$$: 0, 1, 2, 3, 4
$$P(x)$$: 0.30, 0.40, 0.20, 0.06, 0.04

What is the mean and standard deviation of the number of toppings?

Accepted Answer

mean: 1.14; standard deviation: 1.04

Question 6

Which of the following statements describes inferential statistics?

Accepted Answer

There is a relationship between smoking cigarettes and getting emphysema.

Question 7

You randomly select one card from a standard deck. Event B is selecting the ace of hearts. How many outcomes are in the event, and is it a simple event?

Accepted Answer

1; Simple event because it is an event that consists of a single outcome.

Question 8

Classify the following probability statement: 'The probability that it will rain tomorrow is 21\%.'

Accepted Answer

subjective probability

Question 9

A card is drawn from a standard deck of 52 playing cards. What is the probability that the card is an ace or a black card?

Accepted Answer

$$\frac{7}{13}$$

Question 10

A university conferred the following number of Master's degrees: Mathematics: 229, English: 203, Engineering: 86, Business: 176, Education: 222. What is the probability that a randomly selected student majored in English or Mathematics? (Round to three decimal places.)

Accepted Answer

0.472

Question 11

For a binomial experiment with $$n = 7$$ and $$p = 0.9$$, what is $$P(	ext{Fewer than 4})$$?

Accepted Answer

0.0027

Question 12

A student receives the following grades: A in a four-unit class, D in a two-unit class, B in a three-unit class, and C in a three-unit class. What is the student's grade point average (GPA)? (A=4, B=3, C=2, D=1, F=0)

Accepted Answer

2.75

Question 13

Given the following data from two airlines flying to Small Town, USA:

Podunk Airlines: 33 on time, 6 late
Upstate Airlines: 43 on time, 5 late

If one of the 87 flights is randomly selected, what is the probability that the flight selected arrived on time given that it was an Upstate Airlines flight?

Accepted Answer

$$\frac{43}{48}$$

Question 14

State whether the variable is discrete or continuous: The number of cups of coffee sold in a cafeteria during lunch.

Accepted Answer

discrete

Question 15

Decide if the events A and B are mutually exclusive or not mutually exclusive. A die is rolled. A: The result is an odd number. B: The result is an even number.

Accepted Answer

mutually exclusive

Question 16

Classify the events as dependent or independent. Events A and B where $$P(A) = 0.7$$, $$P(B) = 0.7$$, and $$P(A 	ext{ and } B) = 0.49.$$

Accepted Answer

independent

Using an Ogive to Estimate Sample Size

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