# Math quiz

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 June 28th 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 P30, 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. Z0.02

b. Z0.01

c. Z0.10

## Needs help with similar assignment?

We are available 24x7 to deliver the best services and assignment ready within 3-4 hours? Order a custom-written, plagiarism-free paper

Get Answer Over WhatsApp Order Paper Now