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Ch. 6.1 #7-49 odd

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. More than $40,000 a year<br />

X <br />

40,000 47,750<br />

z 1.36<br />

5680<br />

Pz ( 1.36) 1 0.0869 0.9131 or 91.31%<br />

c. If you were applying for a teaching position and were offered $31,000 a year, how would you feel<br />

(based on this information)?<br />

Not too happy! It's really at the bottom of the heap!<br />

X <br />

31,000 47,750<br />

z 2.95<br />

5680<br />

Pz ( 2.95) 0.0016<br />

Only 0.16% of salaries are below $31,000.<br />

9. Miles Driven Annually The mean number of miles driven per vehicle annually in the United States is<br />

12,<strong>49</strong>4 miles. <strong>Ch</strong>oose a randomly selected vehicle, and assume the annual mileage is normally distributed<br />

with a standard deviation of 1290 miles. What is the probability that the vehicle was driven more than<br />

15,000 miles? Less than 8000 miles? Would you buy a vehicle if you had been told that it had been driven<br />

less than 6000 miles in the past year?<br />

X <br />

15,000 12,<strong>49</strong>4<br />

For x15,000 miles : z 1.94<br />

1290<br />

Pz ( 1.94) 1 0.9738 0.0262<br />

X <br />

8,000 12,<strong>49</strong>4<br />

For x 8,000 miles : z 3.48<br />

1290<br />

Pz ( 3.48) 0.0003<br />

X <br />

6,000 12,<strong>49</strong>4<br />

For x 6,000 miles : z 5.03<br />

1290<br />

Pz ( 5.03) 0.0001<br />

Maybe it would be good to know why it had only been driven less than 6000<br />

miles.<br />

11. Credit Card Debt The average credit card debt for college seniors is $3262. If the debt is normally<br />

distributed with a standard deviation of $1100, find these probabilities.

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