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# Continuous Probability Distributions Practice Questions

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Updated on Oct 5, 2011

To review these concepts, go to Continuous Probability Distributions Study Guide.

## Continuous Probability Distributions Practice Questions

### Practice

1. Lindsay has a date tonight with her boyfriend Andrew. Andrew told Lindsay that he would pick her up at 7 P.M. to go to dinner. Andrew always arrives to pick Lindsay up within 20 minutes after (never before) the time he said he would, and he is equally likely to arrive anytime during those 20 minutes. What is the probability Andrew will show up no more than 10 minutes late?
2. Find P(z < 0.75).
3. Find P(z > 0.75).
4. Find P(z < –1.9).
5. Find P(–0.35 < z < 1.46).
6. Find the value of z* such that P(z < z*) = 0.53.
7. Find the value of z* such that P(z > z*) = 0.27.
8. Find the value of z* such that P(z < z*) = 0.03.
9. Let X ~ N(11,8). Find P(X > 17).
10. Let X ~ N(8,3). Find X* such that P(X < X*) = 0.27.

#### Solutions

1. 0.7734
2. 0.2266
3. 0.0287
4. 0.5647
5. 0.08
6. 0.61
7. –1.88
8. 0.2266
9. 6.17

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