Question 1

A bowl contains 15 balls: 5 red, 3 orange, 4 yellow, and 3 blue. The probability that a ball selected at random is yellow is equal to which one of the following?&#10;A) 3/15&#10;B) 4/15&#10;C) 5/15&#10;D) Cannot be determined

Accepted Answer

The probability of selecting a yellow ball is the number of yellow balls divided by the total number of balls. Therefore, the probability of selecting a yellow ball is 4/15.

Question 2

A basket contains 58 rings: 10 diamond, 22 amethyst, and 26 aquamarine. The probability that a ring selected at random is amethyst is equal to which one of the following?&#10;A) .17&#10;B) .38&#10;C) .45&#10;D) Cannot be determined

Accepted Answer

The probability of selecting an amethyst ring at random is the number of amethyst rings in the basket (22) divided by the total number of rings in the basket (58).
Probability of selecting an amethyst ring = 22/58 = 0.38

Question 3

Which of the following is needed to be able to draw inferences about a parameter based on a sample estimate?&#10;A) Random sample&#10;B) Underlying theoretical distribution&#10;C) Outcome probability&#10;D) Sample population selection

Accepted Answer

A random sample is needed in order to have representative data from the population, which allows for inference about the parameter based on the sample estimate. The other options are not necessarily required for drawing inferences about a parameter based on a sample estimate.

Question 4

To draw inferences from a sample, to what is the sample statistic compared?&#10;A) Random sample&#10;B) Underlying distribution of estimates&#10;C) Outcome probability&#10;D) Sample population selection

Accepted Answer

The sample statistic is compared to the underlying distribution of estimates to draw inferences about the population. This helps to determine if the sample accurately represents the population and if any conclusions can be made about the larger population based on the sample data.

Deck 5: Introduction to Probability and Sample Statistics