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Multiple Choice Quiz
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Use the following to answer questions 1-3:

The number of houses available for rent in a certain area on any given day is randomly distributed according to the following distribution:

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1
Find the expected value of the number of houses available for rent on a given day.
A)2.0
B)0.2
C)1.0
D)0.5
E)none of the above
2
Find the standard deviation of the number of houses available for rent on a given day.
A)0.2236
B)0.8944
C)0.5477
D)0.8
E)none of the above
3
What is the probability that no more than two houses are for rent on a given day?
A)0.75
B)0.25
C)1.0
D)0
E)0.5
4
When two fair six-sided die are tossed, what is the expected value of the sum of the faces?
A)6
B)7
C)5
D)4
E)12
5
When two fair six-sided die are tossed, what is the probability of getting a sum greater than 6?
A)1/2
B)1/6
C)7/12
D)13/18
E)5/18

Use the following to answer questions 6-7:

A company has a new project under way and selects five executives for a transfer from their current jobs. A report had suggested that 75% of all executives in this company would like this new job.

6
What is the probability that at least three of these five selected like their new job?
A)0.4219
B)0.45
C)0.25
D)0.5781
E)0.8965
7
What is the probability that exactly three of the five selected like their new job?
A)0.0264
B)0.4219
C)0.7363
D)0.2637
E)0.8965
8
Which of the following is true in a binomial distribution?
A)Each outcome is dependent on the previous outcome.
B)Each trial results in mutually exclusive outcomes.
C)The probability of success remains the same from trial to trial.
D)The outcome of a trial depends on the number of trials.
E)Both b and c are true.
9
Twenty-five percent of all households in a town have broadband Internet access. In a random sample of fifteen houses, which of the following provides the probability that at least one has broadband Internet access?
A)P(x = 1)
B)P(x ≥ 1)
C)1 - P(x ≥ 1)
D)P(x = 0)
E)1 - P(x ≤ 1)
10
In a uniform distribution [1, 9], what is the area between 2 and 5?
A)3/10
B)5/8
C)3/8
D)7/10
E)none of the above
11
From a group of six men and four women, a committee of four is to be chosen. What is the probability that this committee consists of exactly two men and two women?
A)1/10
B)5/7
C)1/14
D)3/7
E)none of the above
12
A random variable is said to be discrete when it can take on:
A)Prime number values only
B)Positive values only
C)Non-zero values only
D)An infinite number of values over any range
E)A finite number of values over any range that includes neither minus infinity nor positive infinity







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