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- From Mathematics, Statistics
- Due on 20 Feb, 2015 09:20:00
- Asked On 19 Feb, 2015 02:22:38
- Due date has already passed, but you can still post solutions.

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Quiz 2

Each question is worth 1 point.

Don’t leave anything blank. I can always find a way to give you some credit if you’ve made an attempt. Be sure to post any questions you have after the answers open.

The work you turn in by 11:59 P.M. on Feb 22^{nd} must be your own.

1. You draw two cards from a deck, what is the probability that:

a. both of them are face cards (king, queen, or jack)?

b. you draw two cards from a deck and both of them are hearts?

2. Assume adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15.

a. Find the probability that a randomly selected adult has IQ < 115

b. Find the probability that a randomly selected adult has IQ > 70

c. Find P_{30,} which is the IQ separating the bottom 30% from the top 70%

3. a. When would the mean grade in a class on a final exam be considered a statistic?

b. When would it be considered a parameter?

c.. Define bias in terms of expected value.

b. Is it possible for a statistic to be unbiased yet very imprecise? Can it be accurate but biased?

4. a. Why is a 99% confidence interval wider than a 95% confidence interval?

b. When you construct a 95% confidence interval, what are you 95% confident about?

5. My parents lived in Florida and wanted to know the probability of winning the Florida

Fantasy 5 if they bought one ticket. They had to pick the five winning numbers from 1-

36. Each randomly selected number is different and order doesn’t matter. What is the

Probability of their winning?

6. In a study of families with children with disabilities, group of 6 US households were

randomly selected. In the table below, the random variable x represents the number of

households among 6 that had a child with a disability living there.

x |
P(x) |

0 |
0.539 |

1 |
0.351 |

2 |
0.095 |

3 |
0.014 |

4 |
0.001 |

5 |
0+ |

6 |
0+ |

a) Is this a probability distribution?

b) What is the mean?

c) What is the standard deviation?

7. Ten peas are generated from parents having the green/yellow pair of genes so there is a

75% probability that an individual pea will have a green pod. Find the probability that

among the 10 offspring peas, at least 9 have green pods. Is this unusual? Explain.

8. Find the critical value:

a. Z_{0.02}

b. Z_{0.01}

c. Z_{0.10}

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