Statistics and Probability Review

This set of flashcards covers key concepts, formulas, and definitions related to statistics and probability as discussed in the lecture.

What is the total number of raffle tickets sold in the charity fund-raiser?

2000

What is the cost per ticket in the charity raffle?

$1.00

How many winning tickets are there in the raffle?

32

What is the expected prize value per ticket in the raffle?

$0.80

What is the equation to calculate the expected points per game for a player in the computer card game?

5x - 10y.

What does the expected value represent in the context of a random variable?

A long-run average over many repetitions.

What is the mean of the geometric distribution for the random variable S?

4.66.

How many participants are there in the blind taste test?

9 volunteers.

What is the probability that at least 8 out of 9 participants will correctly identify the tap water assuming random guesses?

Approximately 0.0195.

What is the probability of independent events D and E occurring together?

P(D and E) = P(D) * P(E).

What is the expected value of winning from a game involving red, blue, and yellow chips?

$10.50.

What is the total expected number of orange candies from two samples of Dynamite Mints and Holiday Mints?

13.75.

What is the mean and standard deviation of the Weight distribution of boxes of produce?

Mean = 36 lbs, SD = 4 lbs.

Which of the following measures must be true for a symmetric probability distribution?

The mean equals the median.

What is the response variable in Caleb's experiment on video game completion time?

Time to complete the level (quantitative variable).

Are the events of being in the band and on a sports team mutually exclusive?

No, because there are students in both activities.

What is required for the sampling distribution of two means to be modeled with a normal distribution?

The sample sizes must be sufficiently large (n ≥ 30).

What describes the sampling distribution of a sample mean if drawn from a populations that are right-skewed?

Approximately normal with mean $206,274 and standard deviation $3,788.

What does the residual plot indicate about the linear regression model?

A curved pattern in residuals suggests that a linear model is not appropriate.