A
B
C
D
E
100
The probability a student takes AP Statistics and AP Environmental Science is .05. The probability a student takes AP Statistics is .18. What is the probability a student takes AP Environmental Science given that the student takes AP Statistics?
.2778
P(AP Environmental Science l AP Statistics) =
P(AP Environmental Science and AP Statistics) / P(AP Statistics)
100
The probability a family owns a dog is .40. There are 10 houses on a street. The probability half of the families own a dog is...
What is .2007
100
The probability you find a defective bag of popcorn is .02. What is the probability the first defective bag will be the 10th bag?
What is .0167
100
Freshman GPAs at Dodgeland High School have a mean of 2.93 and standard devation of .39. What is the probability a student has a GPA of between 2 and 3?
What is .5627
100
Given a normal distribution with a mean of 70 and a standard deviation of 4.5, what is the probability a value is between 60 and 85?
0.986
200
Students at University X must be in one of the class ranks—freshman, sophom*ore, junior, or senior. At University X, 35% of the students are freshmen and 30% are sophom*ores. If a student is selected at random, what is the probability that he or she is either a junior or a senior?
35%
200
The probability someone makes an 5 in AP statistics test is .15. Ms. Lucius teaches 30 students. What is the probability at no more than 10 students make an 5?
What is .997
200
The probability John wears a green shirt is .05. What is the probability it will take him a month or less (assume 30 days) to wear a green shirt?
What is .7854
200
The class average on a test was 78 with a standard deviation of 12 points. What is probability a student got 70% or less?
What is .2525
200
In a certain game of chance, your chances of winning are 0.2. If you play the game five times and outcomes are independent, what is the probability you win all five times?
What is .00032
300
An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1.
What is the conditional probability of A given B?
1/6
300
The probability Bob orders dessert at a restaurant is .11. He goes out to eat once a week. What is the probability he orders dessert at least 5 times?
What is .6904
300
The probability it rains is .21. On average, how many days until it rains?
What is 4.76 days
300
An average female is 5'4'' (64 inches). The standard deviation for average female heights is 2.5 inches. Madee is 5'6". What percentage of women are taller than her?
What is 21.19%
300
It has been estimated that about 30% of frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked. A consumer purchases 12 frozen chickens. Find the probability that the consumer buys exactly 4 contaminated chickens.
0.231
400
In a particular game, a fair die is tossed. If the number of spots showing is either four or five, you win $1. If the number of spots showing is six, you win $4. And if the number of spots showing is one, two, or three, you win nothing. You are going to play the game twice.
What is the probability that you win money at least once in two games?
1 - p(win none)
1 -
1/2 x 1/2 = 0.75
400
The probability it will rain any given day is .21. What is the probability it will rain more than 5 days this week?
What is .00049
400
The probability Logan gets a hit is .15. What is the probability it takes him at least 5 at bats to get a hit?
What is .5221
400
The average person has 3.64 car collision claims in their lifetime with a standard deviation of 1.11. If Anna is in the bottom 20% of claims, how many claims has Anna had?
What is 2.71 accidents.
400
A quarterback completes 44% of his passes. It is the beginning of football season, and he has not played any games yet. Let X = the number of passes the quarterback throws until he completes a pass. What is the probability that the quarterback does not complete a pass until his 5th pass of the season?
0.043
500
Given that P(A) = 0.6 and P(B) = 0.3 and P(B|A) = 0.5
(a) P(A and B) = ?
(b) P(A or B) = ?
(c) Are events A and B independent?
a) P(A&B) = 0.3
b) P(A or B) = 0.6
c) not independent
500
The probability you will have a tire blowout is .015. What is the probability you will have between 1 and 3 blowouts this week (school week)?
What is .0728.
500
Two independent random variables X and Y have the probability distributions, means, and standard deviations shown.
X 1 2 5
P(X) 0.2 0.5 0.3
Y 2 4
P(Y) 0.7 0.3
mux = 2.7,
sigmax = 1.55
muy = 2.6,
sigmay = 0.917a)
Let the random variable Find all possible values of T. Compute the probability that T takes each of these values. Summarize the probability distribution of T in a table.
T | 3 | 5 | 4 | 6 | 7 | 9
P(T)| 0.14 | 0.6 | 0.35 | 0.15 | 0.21 | 0.09
500
5) The senior class is selling raffle tickets at the Senior Auction and Dinner night. Each raffle ticket costs $10 and they plan on selling 200 raffle tickets. The prizes, which have been paid for from the money collected from the sale, are one $100 stereo system, two $75 Dillard's gift certificates, four $30 Chili's gift certificates, and eight $15 AMC gift certificates. What is the expected value of a raffle ticket? How much profit per raffle ticket is the senior class expecting to make?
x = value of ticket
E(x) = -7.55
They will make $7.55 per raffle ticket.
500
An agent sells life insurance policies to five equally aged, healthy people. According to recent data, the probability of a person living in these conditions for 30 years or more is 2/3. Calculate the probability that after 30 years at least three people are still living.
1-binomialcdf(5,2/3,2) = 0.790
