Fill in the blanks.

1. One card is selected from an ordinary deck of 52.Find the probability as a common fraction in simplest form for each event below:

_________ a. a face card

_________ b. a heart and a diamond

_________ c. a spade card and a queen

_________ d. a black ace or a five

_________ e. a club, a diamond or a king

_________ f. a black card or a red card

2. A bag contains 8 red, 12 white and 4 blue marbles. If 2 marbles are selected in succession (without replacement), find the probability as a common fraction in simplest form that:

_________ a. both are blue

_________ b. neither is red

_________ c. either is red or blue

_________d. first is red and second is blue

_________ e. second is orange

_________ f. first is red, white or blue

3.On a single roll of a pair of dice, find the probability as a common

fraction in simplest form for:

_________ a. obtaining a sum of six

_________ b. obtaining a sum less than five

_________ c. obtaining a sum of at least eight

_________ d. obtaining sums of seven or eleven

4. In a family with 3 children, what is the probability as a common

fraction in simplest form the following outcomes:

_________a. Two boys and one girl

_________ b. At most two are girls

_________ c. At least one is a boy

_________ d. All three are of the same sex

5. An urn contains twenty-five balls numbered 0 through 24. A single ball is taken from the urn; find the probability as a decimal fraction for:

_________ a. the number 4

_________ b. an even number

_________ c. a multiple of five

_________ d. a prime number

_________ e. a negative number

_________ f. a whole number

6. A quiz consists of five true-false questions:

_________a. How many elements are in the sample space for answering the quiz?

_________ b. If a student answers the test FTFTF, what is the probability that the student answered all five questions correctly?

7. The probability that the Rangers will win the pennant is 3/7.

_________ a. What are the odds against the Rangers winning the pennant?

_________ b. What is the probability for the Rangers losing the pennant?

8. Suppose it is possible for a coin to land on its edge. A valid probabilitymodel should account for this outcome. If we assume that the coin is equally likely to land heads or tails, explain why the probability for

heads (or tails) cannot be 1/2 when it is possible for the coin to land

on its edge.____________________________________________________________

9. On a lab quiz, the following scores were made: 86, 75, 80, 92, 90, 71, 80, 62, 73, 81. For this set of scores, find the following:

_________a. mean_________ b. median_________c. mode

_________ d. range _________e. variance_________f. Standard Dev.

10. In a class of 250 students, Suzy is ranked 15th. What is her percentile rank to the nearest percent? _________

11. The mean length of a cell phone call is 1.5 minutes with standard deviation 0.25 minutes. Assuming that the lengths of these calls are normally distributed, determine the following:

_________a. What percentage of the calls last more than 2 minutes?

_________b. What percentage of the calls last between 1 and 2 minutes?

_________c. What percentage of the calls last at least 2 minutes?

_________ d. What percentage of the calls last less than 1.5 minutes?

12. Professor Standard Normal gives a short daily quiz to his statistics class. The results of the most recent quiz are shown in the table.

_________Mean _________ Median _________ Mode

Score	0	5	6	7	8	9	10
Frequency	1	3	5	6	4	4	2

13. Kim is ranked at the 87th percentile in her class of 300 while

Bill is ranked thirty eighth in the same class. Who ranks higher? _________

14. Explain why it is not possible to have a percentile rank of 100. _____________________________________________________________ ___________

15. The heights of 1000 female college students were found to be normally distributed with a mean of 66 inches and a standard deviation of 2

inches.Determine each of the following:

_________ a. What is the probability of a height between 66 and 70 inches?

_________ b, What percentage of the heights are between 62 and 70 inches?

_________ c. How many of the heights are under 70 inches?

_________ d. How many are between 62 and 70 inches?

_________ e. How many are less than 62 inches?

16. A fire in the basement has destroyed part of a report. One whole line and several other areas were burned. You are asked to find the value of the third element (?) in the table below.

Value Deviation (Deviation squared)

220 -15

254 361

**_________(?)

248 +13 169

230 -5 25

Total 924