Questions from Statistics

Q: Distinguish between an outcome and an event in probability. Give an

Distinguish between an outcome and an event in probability. Give an example in which the same event can occur via two or more outcomes.

Q: What does it mean when we write P(A)? What

What does it mean when we write P(A)? What is the possible range of values for P(A), and why?

Q: Briefly describe the theoretical, relative frequency, and subjective methods for

Briefly describe the theoretical, relative frequency, and subjective methods for finding probabilities. Give an example of each.

Q: What is a probability distribution? Briefly describe a format that is

What is a probability distribution? Briefly describe a format that is used to display a probability distribution.

Q: For a typical lottery, the expected value of a ticket is

For a typical lottery, the expected value of a ticket is less than the cost of a ticket.

Q: If a best-fit line is inserted in a scatterplot,

If a best-fit line is inserted in a scatterplot, it must pass through every point on the graph.

Q: For a $1 “straight” bet in the California Daily

For a $1 “straight” bet in the California Daily 3 lottery, the expected return is 64¢, so betting a dollar for fun is okay, but it is unwise to bet much money on this lottery.

Q: For the California Daily 3 lottery, in which you pick three

For the California Daily 3 lottery, in which you pick three numbers, it is better to select the numbers 5-3-9 than the numbers 1-2-3, because 5-3-9 is more random.

Q: I haven’t won in my last 25 pulls on the slot machine

I haven’t won in my last 25 pulls on the slot machine, so I’m due to win on the next couple of pulls.

Q: In analyzing genders of newborns, assume that boys and girls are

In analyzing genders of newborns, assume that boys and girls are equally likely. Among 500 births, should we expect exactly 250 boys and 250 girls? As the number of births increases, what does the law...