How many ways can 7 people arrange themselves inside a van that has 10 seats?
What is 604,800
100
From a group of 12 volunteers, a surveyor must choose 5 to complete an advanced survey. How may groups of 5 people can be chosen?
What is 792
100
Find the median 5, 8, 0, 8, 6
What is 6
100
Exmpand (5+2x)^3
What is 125+150x+60x^2+8x^3
100
Is a selection of a group of objects in which order is important
What is a permutation
200
Two number cubes are rolled. What is the probability that the sum is even?
What is 1/2
200
a 5-digit code is given to all cashiers to a store to let them log onto the cash register. What is the probability that an employee receives a code with all 5 numbers the same?
What is 1/10,000
200
Find the mean of 12, 15, 13, 13, 15, 12
What is 13.33
200
What is the third term of the binomial expansion of (y+5)^4?
What is 150y^2.
200
The ratio of the number of times that the event occurs, the frequency, to the number of trials
What is the frequency
300
Two pennies are tossed. What is the probability of tossing exactly 1 tail?
What is 1/2
300
A circle is inscribed in a square with an area of 100 square feet. Find the probability that a point chosen at random inside the square is not inside the circle.
What is about 0.21
300
Make a box-and-whisker plot of the data. Then find the interquartile range.
33, 52, 65, 48, 83, 29, 33, 50, 71
What is IQR: 35. Median at 50. Q1= 33, Q3=68
300
A fair coin is tossed 10 times. What is the probability of tossing at least 2 heads?
What is about 0.989.
300
The probability of event B, given that event A has occured
What is conditional probability
400
What is the probability of selecting a red pen and then a blue pen, when selecting 2 pens from a bag of 10 red and 15 blue pens with replacement
What is 6/25 (independent)
400
A bag contains slips of papers with the following numbers: 2, 2, 3, 3, 4, 5, 6. What is the probability that you select a 3, you keep the paper, and then your friend selects a 3?
What is 1/21 (dependent)
400
Find the standard deviation of the set {8, 12, 30, 35, 48, 50, 62}
What is about 18.54
400
A multiple-choice quiz has 5 questions. Each question has 3 possible answers. A student guesses the answer to each question. What is the probability that a student answers at least 1 question correctly?
What is about 0.87
400
Events that cannot both occur in the same trial of an experiment
What is mutually exclusive events
500
A card is drawn from a deck of 52. Find the probability of drawing a red card or drawing a 5
What is 7/13
500
Of 120 males and 180 females who took an eye exam, 170 passed. One-third of the males did not pass. what is the probability that a person who took the exam passed or was male?
What is 7/10
500
The principal reported that the mean of a standardized test score for the school was 81.3 and the standard deviation was 4.4. sharon scored 96. Is her score an outlier? Explain.
What is yes--3 standard deviations above the mean is 94.5
500
The probability of Jack making a free throw is 0.65. He shoots 75 free throws. Find the expected number of free throws made.