AnswersStats B - Master – 926988Unit Test

Unit Test — Unit test Answers

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Two local hotels, X and Y, rent out rooms nightly. Let X represent the number of rooms hotel X rents out nightly, and let Y represent the number of rooms hotel Y rents out nightly. The mean of X is 49, and the mean of Y is 58. Which answer choice correctly calculates and interprets the mean of the sum, S = X + Y?

A
= 53.5; the hotels can expect to rent out 53.5 rooms, on average, each night.
Option A
B
= 53.5; on one randomly selected night, the total number of rooms rented out will be 53.5.
Option B
C
= 107; the hotels can expect to rent out 107 rooms, on average, each night.
Option C
D
= 107; on one randomly selected night, the total number of rooms rented out will be 107.
Option D
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Consider the given probability histogram of a binomial random variable.

Question illustration
A
Center: 5.4Shape: skewed right
B
Center: 5.4Shape: skewed left
C
Center: 6Shape: skewed left
D
Center: 6Shape: approximately Normal
23

A shipping company claims that 95% of packages are delivered on time. A student wants to conduct a simulation to estimate the number of packages that would need to be randomly selected to find a package that was not delivered on time. The student assigns the digits to the outcomes.00-04 = package not delivered on time05-99 = package delivered on timeHere is a portion of a random number table.Beginning at line 1, carry out one trial of this simulation. Use additional lines as needed. How many packages need to be selected at random in order to find one that is not delivered on time?

Question illustration
A
3
B
7
C
22
D
24
24

One professional basketball player typically attempts eight free throws per game. Let X represent the number of free throws made out of eight. The distribution for X is shown in the table.What is the probability that the basketball player will make at least six free throws out of the eight attempts?

Question illustration
A
0.11
B
0.21
C
0.30
D
0.32
25

The owner of a local movie theater keeps track of the number of tickets sold in each purchase and makes a probability distribution based on these records. Let X represent the number of tickets bought in one purchase. The distribution for X is given in the table.

Question illustration
A
The number of tickets purchased typically varies from the expected value by 0.95 tickets.
B
If many, many purchases are made, the expected number of tickets purchased is 2.1.
C
The mean number of tickets purchased typically varies from the expected value by 0.95 tickets.
D
The mean number of tickets purchased typically varies from the expected value by 0.89 tickets.

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