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Chapter 2 – Question 14
A student taking Management Science 301 at East Haven University will receive one of the five possible grades for the course: A, B, C, D, or F. The distribution of grades over the past two years is as follows:
|GRADE||NUMBER OF STUDENTS|
If this past distribution is a good indicator of future grades, what is the probability of a student receiving a C in the course?
Chapter 2 – Question 15
A silver dollar is flipped twice. Calculate the probability of each of the following occurring:
- a head on the first flip
- a tail on the second flip given that the first toss was a head
- two tails
- a tail on the first and a head on the second
- a tail on the first and a head on the second or a head on the first and a tail on the second
- at least one head on the two flips
Chapter 2 – Question 29
Which of the following are probability distributions? Why?
RANDOM VARIABLE X PROBABILITY 2 0.1 –1 0.2 0 0.3 1 0.25 2 0.15
RANDOM VARIABLE Y PROBABILITY 1 1.1 1.5 0.2 2 0.3 2. 0.25 3 –1.25
RANDOM VARIABLE Z PROBABILITY 1 0.1 2 0.2 3 0.3 4 0.4 5 0.0
Chapter 2 – Question 31
What are the expected value and variance of the following probability distribution?
|RANDOM VARIABLE X||PROBABILITY|
Chapter 2 – Question 41
The time to complete a construction project is normally distributed with a mean of 60 weeks and a standard deviation of 4 weeks.
- What is the probability the project will be finished in 62 weeks or less?
- What is the probability the project will be finished in 66 weeks or less?
- What is the probability the project will take longer than 65 weeks?
Chapter 2 – Question 48
Policy Pollsters is a market research firm specializing in political polls. Records indicate in past elections, when a candidate was elected, Policy Pollsters had accurately predicted this 80 percent of the time and they were wrong 20% of the time. Records also show for losing candidates, Policy Pollsters accurately predicted they would lose 90 percent of the time and they were only wrong 10% of the time. Before the poll is taken, there is a 50% chance of winning the election. If Policy Pollsters predicts a candidate will win the election, what is the probability that the candidate will actually win? If Policy Pollsters predicts that a candidate will lose the election, what is the probability that the candidate will actually lose?