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The data represent the number of driving fatalities for a certain area by age fo

ID: 3301942 • Letter: T

Question

The data represent the number of driving fatalities for a certain area by age for male and female drivers.

MaleMale

FemaleFemale

under 16

139

116

16-20

5332

2332

21-34

11,015

4980

35-54

14,492

5056

55-69

4717

1785

70 and over

3024

1106

(a) What is the probability that a randomly selected driver fatality who was male was 35 to 54 years old?

The probability that a randomly selected driver fatality who was male was 35 to 54years old is approximately _______.

(Round to three decimal places as needed.)

(b) What is the probability that a randomly selected driver fatality who was 35 to 54 was male?

The probability that a randomly selected driver fatality who was 35 to 54 was male is approximately ________.

(Round to three decimal places as needed.)

(c) Is a victim of a fatal accident aged 35 to 54 more likely to be male or female? Choose the correct statement below.

A. The driver is more likely to be female because the probability is less than 0.5.

B. The driver is more likely to be male because the probability is less than 0.5.

C.The driver is more likely to be female because the probability is greater than 0.5.

D. The driver is more likely to be male because the probability is greater than 0.5.

MaleMale

FemaleFemale

under 16

139

116

16-20

5332

2332

21-34

11,015

4980

35-54

14,492

5056

55-69

4717

1785

70 and over

3024

1106

Explanation / Answer

A) The probability that a randomly selected driver fatality who was male was 35 to 54years old = 14492/total number of males

= 14492/(139+5332+11015+14492+4717+3024)

= 14492/38719

= 0.374

B) The probability that a randomly selected driver fatality who was 35 to 54 was male = 14492/(14492+5056)

= 0.741

C) D. The driver is more likely to be male because the probability is greater than 0.5.

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