test two

Before flipping a fair coin, Sunil assesses that he has a 50% chance of obtaining tails.

Classical probability

Which of the following does not represent a continuous random variable?

The number of customer arrivals to a bank between 10 am and 11 am.

Which of the following can be represented by a discrete random variable?

The number of obtained spots when rolling a six-sided die

What does it mean when we say that the tails of the normal curve are asymptotic to the x axis?

The tails get closer and closer to the x axis but never touch it.

The probability that a normal random variable is less than its mean is

0.5

Which of the following represents a subjective probability?

A skier believes she has a 10% chance of winning a gold medal.

A political reporter announces that there is a 51% chance that the next person to come out of the conference room will be a Republican, since there are 88 Republicans and 86 Democrats in the room.

Empirical probability

Which of the following statements is the most accurate about a binomial random variable?

It counts the number of successes in a given number of trials.

At the beginning of the semester, John believes he has a 90% chance of receiving straight A's.

Subjective probability

We can think of the expected value of a random variable X as

the long-run average of the random variable values generated over infinitely many independent repetitions

Factorial

the number of ways to assign every member of a group of n

Which of the following is not an event when considering the sample space of tossing two coins?

{HH, TT, HTH}

For the sample space S = {apple pie, cherry pie, peach pie, pumpkin pie}, what is the complement of A = {pumpkin pie, cherry pie}?

{apple pie, peach pie}