Expected Value
z-scores
Probability
Percentile
Central Limit Theorem
100
The number of boys a family can expect to have if they have 9 children.
What is 4.59
100
The z-score corresponding to an SAT score of 630 when the mean score is 500 and the standard deviation is 100.
What is 1.3
100
The probability of randomly selecting a member of a normally distributed population with a value less than the mean of the population.
What is .5
100
My percentile if I scored a 730 on the math portion on the SATs when the mean is 518 and the standard deviation is 115.
What is the 97th percentile
100
The formula for finding the mean of the sampling distribution of sample means.
What is the mean of the population
200
The number of games the Good guys can expect to win out of their next 16 if they've won 46 out of the last 73 games.
What is 10
200
The percentage of data located within 1 standard deviation of the mean.
What is 68%
200
US men in the age group of 20-29 have heights that are normally distributed with a mean of 69.6 inches and a standard deviation of 3.0 inches. This is the probability of randomly selecting a man in this age group whose height is more than 72 inches.
What is .21
200
My percentile if I scored a 620 on the critical reading portion on the SATs when the mean is 503 and the standard deviation is 113.
What is the 85th percentile
300
Your expected earnings if you pay $1 to play a game where you roll a die and win $5 if you roll a 6 and nothing if you roll any other number.
What is -.17
300
The percent of data located within 3 standard deviations of the mean.
What is 99.7%
300
US men in the age group of 20-29 have heights that are normally distributed with a mean of 69.6 inches and a standard deviation of 3.0 inches. This is the probability of randomly selecting a man in this age group whose height is between 66 and 72 inches.
What is .67
300
The score on the math portion on the SATs that represents the 90th percentile when the mean is 518 and the standard deviation is 115.
What is 665
300
The probability that the mean height for a sample of 60 women is greater than 66 inches when the mean of the population is 64.1 inches and the standard deviation is 2.71 inches.
What is 0
400
The expected value for rolling a fair 10-sided die.
What is 5.5
400
The area under the standard normal curve that is to the left of a z-score of 2.
What is .84
400
The weights of adult male beagles are normally distributed, with a mean of 25 pounds and a standard deviation of 3 pounds. This is the probability of randomly selected an adult male beagle whose weight is less than 23 pounds.
What is .25
400
The cutoff score on the math portion on the SATs that separates the top 20% when the mean is 518 and the standard deviation is 115.
What is 615
400
The probability that the mean height for a sample of 60 women is less than 65 inches when the mean of the population is 64.1 inches and the standard deviation is 2.71 inches.
What is .99
500
Your expected earnings if you buy 1 raffle ticket for $2. 620 are sold and 1 ticket is picked for a prize of $300, 1 ticket is picked for a prize of $200, and 1 ticket is picked for a prize of $100.
What is -1.03
500
The area under the standard normal curve between the z-scores of -2 and 1.
What is .815
500
The weights of adult male beagles are normally distributed, with a mean of 25 pounds and a standard deviation of 3 pounds. This is the probability of randomly selected an adult male beagle whose weight is less than 22 pounds or greater than 28 pounds.
What is .32
500
The z-score that corresponds to the cumulative area on the left of 0.3520.
What is -.38
500
The more likely of the two: selecting an individual tire with a life span of 49,721 miles or selecing a random sample of 100 tires with a mean less than 49,721. The mean of the population is claimed to be 50,000 and the standard deviation 800 miles.
What is the individual tire (P = .36). The probability of that sample is about 0.
M
e
n
u