Combinations
Binomial Expansions
Basic Probabilities
Normal Distributions
Z-Scores
100
the number of ways to choose 4 teammates from a group of 7 people
What is 35?
100
The 4th row of Pascal's Triangle
What is 1, 4, 6, 4, 1?
100
The probability of pulling a jack out of a deck of cards
What is 1/13?
100
The percents under the normal curve
What are 0.15, 2.35, 13.5, 34, 34, 13.5, 2.35, and 0.15?
100
The formula for z-score
What is z = (x - mean) / (standard deviation)
200
the number of different sandwiches you can make choosing from 4 meats, 3 cheeses, and 5 different breads
What is 60?
200
the expansion of (x+y)^3
See Ms. J's answer
200
The probability of pulling a $10 bill out of your wallet when you have 2 $1 bills, 6 $5 bills, 3 $10 bills, and 4 $20 bills.
What is 1/5?
200
The probability that someone will own their house for less than 4 years. This data is normally distributed with a mean of 6.3 years and a standard deviation of 2.3 years
What is .16?
200
The z-score for a person who makes $27,500. (The average salary is $39,500. The standard deviation is $11,000).
What is -1.09?
300
the number of different ice cream dishes (of 2 scoops) you can have picking from vanilla, cookie dough, chocolate, mint, strawberry, and brownie bits.
What is 15?
300
the expansion of (x+2)^5
See Ms. J's answer
300
The probability of pulling a red six out of a deck of cards
What is 1/26?
300
The percentage of kindergarten students who are taller than 41.8 inches. Suppose the heights of kindergarten children can be described by a normal model with a mean of 38.2 inches and a standard deviation of 1.8 inches
What is 2.5%?
300
The percent of people who commute less than 45 minutes from home if the average person commutes 28 minutes and the standard deviation is 6 minutes.
What is 99.77%?
400
the number of ways you can see 2 comedies AND 3 tragedies picking from 5 comedies and 8 tragedies
What is 560?
400
the coefficient of x^5 in the expansion (x-1)^12
What is -792?
400
the probability of pulling a red marble and then a green marble out of a bag with 12 blue marbles, 14 green marbles, and 6 red marbles. (without replacement)
What is 21/248?
400
The interval in which 95% of the basketball shots are made. The data is normally distributed with a mean of 20 and a standard deviation of 4.
What is 12 to 28?
400
The percentage of woman who are taller than 68 inches. The mean height for a woman is 64.5 inches and the standard deviation is 2.05 inches.
What is 4.36%?
500
The number of ways to see at least 10 comedies out of 12 total comedies
What is 78?
500
the coefficient of x^3 in the expansion (2x-3)^6
What is -4320?
500
The probability of getting the Ace of Hearts or a black card from a deck of cards
What is 27/52?
500
The number of assignments a student who is 1.5 standard deviations above the average turns in. The data is normally distributed. An average student turns in 22 homework assignments, with a standard deviation of 4 assignments.
What is 28?
500
The percentage of people who pay between $1200 and $1400 when they stay at a hospital. The average person pays $1400 and the standard deviation is $250. (HINT: you will need 2 z-scores!)
What is 28.81%?
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