Probability
Probability Distributions
Normal Distributions
Central Limit Theorem
100

It's the probability that you order a Big Mac from Starbucks.

0%

100

Every value of x must be between these two numbers in a probability distribution.

0 and 1

100

It's the mean of the standard normal distribution.

0

100

An example of an unbiased estimator

sample mean, variance, or proportion

200

It's the probability that you roll two six-sided dice and get a sum of 2.

1/36 or 2.8%

200

In a binomial distribution, it is the probability of q (or failure) if the probability of success is p=0.7

0.3

200

It's the probability that a z-score is less than 0.5 in a standard normal distribution. 

0.6915 or 69.15%

200

If simple random samples do not form a normal distribution, it is the smallest number the size of your samples can be for the Central Limit Theorem to apply. 

31

300

Its the probability that (given a standard six-sided die and a standard 52-card deck) you roll a 3 and draw a spade.

1/24 or 4.2%

300

Find the mean for the following probability distribution situation: The number of tails shown when two coins are flipped.

1

300

It's the probability that a z-score is in between 0 and 2 in a standard normal distribution.

0.4772 or 47.72%

300

The average number of pounds of meat that a person consumes per year is 218.4 pounds. Assume that the standard deviation is 25 pounds and the distribution is approximately normal. Find the probability that a person selected at random consumes less than 224 pounds per year.

0.5871 or 58.71%

400

It's the probability that you draw, without replacement, a pair of 8's from a standard 52-card deck.

1/221 or 0.45%

400

Find the probability of the following binomial distribution: Getting 20 out of 30 heads when flipping a coin.

2.8%

400

It's the salary of a baseball player, given the mean salary is 2.5 million with a standard deviation of 250000 and it is normally distributed, if his z-score is 1.75

$2937500

400

The average number of pounds of meat that a person consumes per year is 218.4 pounds. Assume that the standard deviation is 25 pounds and the distribution is approximately normal. If a sample of 40 individuals is selected, find the probability that the mean of the sample will be less than 224 pounds per year.

0.9222 or 92.22%

500

It's the probability of getting a full house when dealt 5 cards from a 52-card deck.

1/1082900 or 0.00009%

500

Find the probability of the following binomial distribution: 18 out of 22 students arriving to class on time with a failure rate of 12%

15.2%

500

It is the probability of the baseball player's salary being less than $5 million given the mean of $3.25 million and the standard deviation of $500000 is normally distributed 

0.9938 or 99.38%

500

The mean weight of 15-year-old males is 142 pounds, and the standard deviation is 12.3 pounds. If a sample of thirty-six 15-year old males is selected, find the probability that the mean of the sample will be greater than 144.5 pounds. Assume the variable is normally distributed.

0.1112 or 11.12%