# Gus

Gus is not particularly creative or smooth.  He uses the same pickup line every time he goes out: “If I could rearrange the alphabet, I would put U and I together.”  The random variable, x, is the number of times in a night Gus uses the pickup line before encountering someone who is interested (or someone who actually does not roll their eyes and leave or outright slap him!).  The table above summarizes the outcomes of this observations.  This represents a probability distribution function.

Dude, you ran that red light! When conducting research on colorblindness in males, a research forms random groups of five males in each group.  The random variable, x, is the number of males in the group who have a form or colorblindness (based on data from the National Institutes of Health).  The table above summarizes the results of this experiment.  This represents a probability distribution function.

Dude, you ran that red light! When conducting research on colorblindness in males, a research forms random groups of five males in each group.  The random variable, x, is the number of males in the group who have a form or colorblindness (based on data from the National Institutes of Health).  The table above summarizes the results of this experiment.

What is the expected number of males in a group of 5 who have colorblindness?

Dude, you ran that red light! When conducting research on colorblindness in males, a research forms random groups of five males in each group.  The random variable, x, is the number of males in the group who have a form or colorblindness (based on data from the National Institutes of Health).  The table above summarizes the results of this experiment.  What is the standard deviation of the number of males in a group of 5 who have colorblindness?

5) In an Idaho Potato Company Commission survey of 1000 adults, subjects are asked to select their favorite vegetables, and responses of potatoes, corn, broccoli, tomatoes, or “other” were recorded.  This procedure is a binomial experiment, so the data in the distribution that can be treated as binomial.

6) When testing a method of gender selection prior to childbirth, we assume that the rate of female births is 50%, and we reject that assumption if we get results that are unusual in the sense that they are very unlikely to occur with a normal 50% birth rate.  Assuming a 50% rate of female births, find the standard deviation of the number of girls in 15 births.

7) What is the probability that the z-score is greater than -1.40?  Put another way, what is P(z > -1.40)?

8) For this question, assume that a randomly selected subject is given a bone density test.  The test scores are normally distributed with a mean of 0 (μ = 0) and a standard deviation of 1 (σ = 1).  Find the probability that the z-score is between 1.32 and 2.73.

10) The sampling distribution of a statistic (such as the sample mean or sample proportion) is the distribution of all values of the statistic when all possible samples of the same size n are taken from the same population.