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In a certain town, 10% of the families have no children, 10% have one child, 40% have two children, 30% have three children, and 10% have four children. Assume that births are independent of each other, and equally likely to produce male or female.
a) One family is picked at random from all of the families in this town. What is the probability that there are at least two children in the family?
b) One family is picked at random from all of the families in this town. Guess the size of the family, given that it has at least two girls. Give reasons for your guess.
c) A family is picked at random from among the families with four children. Then, a child is picked at random from the selected family. What is the chance that the child picked is a girl with at least one brother?
One item on a questionnaire asks, "How many siblings (brothers and sisters) did you have when you were a child?" A researcher computes the mean, the median, and the mode for a set.
Assume that 5% of men and only .25% of women are colorblind. A colorblind person is chosen at random:
You are given an annual time series with 40 consecutive values and asked to fit a fifth-order autoregressive model.
where sleep and totwrk (total work) are measured in minutes per week and educ and age are measured in years. Suppose the following equation is estimated - Discuss what would happen to someone's sleep if they choose to work more.
Find the equation of the regression line for the given data. What is the predicted value of Y when X = -2? What is the predicted value of Y when X = 4?
According to US Census Bureau, 7.1% of all births to non-smoking mothers are of low birth weight (
Use Friedman test to find out whether there is evidence for significant difference between two population variance. Use .05 level of significance.
Taking α to be 0.05, what is/are the critical values associated with testing your hypothesis?
For each, draw the histogram of the sampling distribution of bar(y). Which sampling distribution has the smaller variance, and why?
The relationship between energy consumption and average car gas mileage, controlling for GDP.
poker is a card game where a poker-hand is made up of 5 cards from a deck of 52 cards. a deck of 52 cards has four
A bag of jelly belly candies contains the following colored jelly beans: red (10), blue (2), orange (5), brown (21), green (0), and yellow (18). Construct the probability distribution for x.
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