#### MS 150 Statistics Fall 2001 Quiz 04

1. Per capita income is a measure of the level of income per person in a country. The higher the per capita income, the "weathier" the residents of that country. Infant mortality is a measure of the number of infants per thousand live births who die before their first birthday. There is a correlation between per capita income and infant mortality rates.

The data graphed at the right produces a correlation of r = -0.51. How much of the variation in the per capita income explains the variation in the infant mortality rate?

2. What is the probability of rolling a 2 on six-sided die?

3. A twelve-sided die has the numbers 1 through 12 on its faces. What is the probability of rolling a multiple of 3 (3, 6,...)?

4. My nephew thinks there will be a 50% chance of rain tomorrow. What method of assigning probabilities is he likely using?

5. What is the probability of rolling a 7 on a regular six-sided die?

6. Circle each and every number below that could be a valid probability value:
-0.56 v 0.00 v 0.137 v 1.000 v 5.03 v 500% v 1/2 v 5/4

7. Bear in mind that the following is an oversimplification of the complex biogenetics of achromatopsia for the sake of a statistics example. Achromatopsia is controlled by a pair of genes, one from the mother and one from the father. A child is born an achromat when the child inherits a recessive gene from both the mother and father.

A is the dominant gene, a is the recessive gene

AA has "normal" vision, Aa is termed a carrier and has "normal" vision, aa has achromatopsia.

Mate a carrier mother Aa with an achromat father aa.
1. What is the probability of a child being born with "normal" vision?"

2. What is the probability of a child being born with achromatopsia?

8. What is the name of the man on the United States penny?

9. In College courses there are five grades: A, B, C, D, F. Each student gets only one grade. One outcome, five total possibilities. So is the probability of getting an A in any given course 0.20?

Why or why not?