Question

1) The following table shows the frequency of outcomes when two distinguishable coins were tossed 5,000 times and the uppermost faces were observed.

Outcome	HH	HT	TH	TT
Frequency	1,100	950	1,300	1,650

Determine the relative frequency distribution:

HH-

HT-

TH-

TT-

2) The following chart shows the results of a survey of the status of subprime home mortgages in a certain state in November 2008.

Mortgage Status	Current	Past Due	In Foreclosure	Repossessed
Frequency	110	65	60	15

(The four categories are mutually exclusive; for instance, "Past Due" refers to a mortgage whose payment status is past due but is not in foreclosure, and "In Foreclosure" refers to a mortgage that is in the process of being foreclosed but not yet repossessed. Enter your answers to two decimal places.)

(a) Find the relative frequency distribution for the experiment of randomly selecting a subprime mortgage in the state and determining its status.

Current	_______
Past Due	_______
In Foreclosure	_______
Repossessed	_______

(b) What is the relative frequency that a randomly selected subprime mortgage in the state was neither in foreclosure nor repossessed? _________

3) The following table shows crashworthiness ratings for 16 cars. (3 = Good, 2 = Acceptable, 1 = Marginal, 0 = Poor)

Frontal Crash Test Rating	3	2	1	0
Frequency	1	12	1	2

(a) Find the relative frequency distribution for the experiment of choosing a car at random and determining its frontal crash rating. (Enter your answers to four decimal places.)

Good (3)	_______
Acceptable (2)	_______
Marginal (1)	_______
Poor (0)	_______

(b) What is the relative frequency that a randomly selected car will have a crash test rating of "Marginal" or worse? (Enter your answer to four decimal places.) ______

Answer 1

1) RELATIVE FREQUENCY:

Outcome	Relative frequency
HH	1100/5000 = 0.22
HT	950/5000 = 0.19
TH	1300/5000 = 0.26
TT	1650/5000 = 0.33

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2) a) Relative frequency distribution:

Outcome	Relative frequency
Current	110/250 = 0.44
Past Due	65/250 = 0.26
In Foreclosure	60/250 = 0.24
Repossessed	15/250 = 0.06

b) Relative frequency that a randomly selected subprime mortgage in the state was neither in foreclosure nor repossessed = 1 - [0.24+0.06] = 0.70

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3) a) Relative frequency distribution:

Outcome	Relative frequency
Good (3)	1/16 = 0.0625
Acceptable (2)	12/16 = 0.7500
Marginal (1)	1/16 = 0.0625
Poor (0)	2/16 = 0.1250

b) Relative frequency that a randomly selected car will have a crash test rating of "Marginal" or worse = 0.0625 + 0.1250 = 0.1875