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1. You roll two fair dies, a green one and a red one.
a. Are the outcomes on the dice independen?
b. Find P(1 on green die and 2 on red die)
c. Find P(2 on green die and 1 on red die)
d. Find P(1 on green die and 2 on red die) or Find P(2 on green die and 1 on red die)
2. Now lottery game there are 10 finalists who submitted entry tickets on time. From these 10 tickets, three grand prize winners will be drawn. The first prize is one million dollors, the second prize is one hundred thousand dollars, and the third prize is ten thousand dollars. Use the permutations rule to determine the total number of different ways the winners can be drawn.
3. To emphasize the importance of correct shelving of books, a librarian tells a group of students the number of possible orders in which just 6 books may be placed on a shelf. What is that number?
What is the probability of the person is 20 to 24 years old.What is the probability of the person is 20 to 34 years old.
Use the trend equation to calculate the points for 2003 and 2005. Plot them on the graph and draw the regression line.
Find out the conditional probability for the given data. Illustrate what is the conditional chance that the selected person is male?
A random sample of 15 paired observations has a correlation of -.46. Can we conclude that the correlation in the population is less than zero? Use the .05 significance level.
Construct a 90 percent confidence interval for the proportion of all kernels that would not pop.
Is the z value positive or negative? Explain why it should be positive or negative.
What is the distinction between a one-sided and a two-sided hypothesis test in this problem?
Decision making under risk is the same as decision making under uncertainty because in both the probabilities are unknown.
Is the hot-air balloon significantly shorter than light rail? How can you tell? What do you tell university officials?
Construct an appropriate control chart and comment on the process.
Explain the value of test statistic using t distribution for the given value. Illustrate value of the t test statistic if you are testing a hypothesis.
Identify the sampling distribution to be used: the standard normal distribution or the Student's t distribution. Find the critical value(s).
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