WorksheetsChapter 6 Review AP Statistics
Total questions: 14
Worksheet time: 25mins
Which of the following is a true statement?
The binomial setting requires that there are only two possible outcomes for each trial, while the geometric setting permits more than two outcomes.
A geometric random variable takes on integer values from 0 to n.
If X is a geometric random variable and the probability of success is 0.85, then the probability distribution of X will be skewed left, since 0.85 is closer to 1 than to 0.
There is a fixed number of trials in a geometric setting, and the number of trials varies in a binomial setting.
The distribution of every geometric random variable is skewed right
Let the random variable X represent the profit made on a randomly selected day by a certain store. Assume that X is approximately Normal with mean $360 and standard deviation $50. The least profitable 10% of days have a profit of at most how many dollars?
$244
$296
$370
$424
$476
A spinner has 5 equally-sized regions (blue, green, red, orange, and yellow). If you spin the spinner 20 times, what is the probability that the spinner lands on blue at most 5 times?
Approximately 0
0.370
0.630
0.804
Approximately 1
Which of the following random variables is discrete?
The number of shots made in 10 free-throw attempts.
The weight of a rhinoceros.
The species of an insect.
The length of a needle on a saguaro cactus.
None of the variables above are discrete.
A marketing survey compiled data on the number of personal computers in households. If X = the number of computers in a randomly-selected household, and we omit the rare cases of more than 5 computers, then X has the given distribution. The expected value of X is E(X) =
0.40
1.00
1.45
1.66
2.50
A marketing survey compiled data on the number of personal computers in households. If X = the number of computers in a randomly-selected household, and we omit the rare cases of more than 5 computers, then X has the given distribution. The standard deviation of X is 1.27. Interpret this value.
The number of computers in a randomly selected household is within 1.27 of the mean.
The number of computers in a randomly selected household is exactly 1.27 from the mean.
The number of computers in a randomly selected household is 1.27, on average.
The number of computers in a randomly selected household is typically 1.27 from the mean.
The average number of computers in a randomly selected household is typically 1.27 from the mean.
A marketing survey compiled data on the number of personal computers in households. X = the number of computers in a randomly-selected household. If you were to randomly select households, what is the probability it would take exactly 8 selections to find one with 5 computers?
Approximately 0
0.02
0.03
0.32
Approximately 1
The number of DVDs rented daily at DVD rental machine has a mean of 134 with a standard deviation of 32.
Select two days at random and find the difference in the number of DVDs rented on the two days. What are the mean and standard deviation of the difference in the number of DVDs rented?
Mean = 0, Standard Deviation = 0
Mean = 0, Standard Deviation = 64
Mean = 0, Standard Deviation = 45
Mean = 92, Standard Deviation = 32
Mean = 134, Standard Deviation = 32
The number of DVDs rented daily at DVD rental machine has a mean of 134 with a standard deviation of 32.
The cost of the electricity to keep the DVD rental machine on is $1.45 per day. Each DVD rental increases the electricity cost by $0.02. What are the mean and standard deviation of the electricity cost per day?
Mean = $4.13, Standard Deviation = $0.64
Mean = $4.13, Standard Deviation = $1.77
Mean = $4.13, Standard Deviation = $2.09
Mean = $2.68, Standard Deviation = $0.64
Mean = $2.68, Standard Deviation = $2.09
Suppose a student is randomly selected from your school. Which of the following pairs of random variables are most likely independent?
X = student’s height; Y = student’s weight
X = student’s IQ; Y = student’s GPA
X = student’s PSAT Math score; Y = student’s PSAT Verbal score
X = average amount of homework the student does per night; Y = student’s GPA
X = average amount of homework the student does per night; Y = student’s height
Which of the following random variables is geometric?
The number of times I have to roll a die to get two 6s.
The number of cards I deal from a well-shuffled deck of 52 cards until I get a heart.
The number of digits I read in a randomly selected row of the random digits table until I find a 7.
The number of 7s in a row of 40 random digits.
The number of 6s I get if I roll a die 10 times.
Seventeen people have been exposed to a particular disease. Each one independently has a 40% chance of contracting the disease. A hospital has the capacity to handle 10 cases of the disease. What is the probability that the hospital’s capacity will be exceeded?
0.011
0.965
0.035
0.989
0.092
In which of the following situations would it be appropriate to use a Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p?
n = 10, p = 0.5
n = 40, p = 0.88
n = 100, p = 0.2
n = 100, p = 0.99
n = 1000, p = 0.003
The weight of tomatoes chosen at random from a bin at the farmer’s market follows a Normal distribution with mean = 10 ounces and standard deviation = 1 ounce. Suppose we pick four tomatoes at random from the bin and find their total weight T. The random variable T is
Normal, with mean 10 ounces and standard deviation 1 ounce.
Normal, with mean 40 ounces and standard deviation 2 ounces
Normal, with mean 40 ounces and standard deviation 4 ounces
binomial, with mean 40 ounces and standard deviation 2 ounces
binomial, with mean 40 ounces and standard deviation 4 ounces.
