Question 1

Exhibit 5-11
A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below:
 $\begin{array}{ll}\text { Number of } & \
\text { Breakdowns  } & \text { Prabability } \
0 & 0.12 \
1 & 0.38 \
2 & 0.25 \
3 & 0.18 \
4 & 0.07
\end{array}$
-Refer to Exhibit 5-11. The probability of at least 3 breakdowns in a month is

Accepted Answer

A)  0.93 
B)  0.88 
C)  0.75 
D)  0.25

Question 2

Which of the following is not a property of a binomial experiment?

Accepted Answer

A)  the experiment consists of a sequence of n identical trials 
B)  each outcome can be referred to as a success or a failure 
C)  the probabilities of the two outcomes can change from one trial to the next 
D)  the trials are independent

Question 3

The Poisson probability distribution is a

Accepted Answer

A)  continuous probability distribution 
B)  discrete probability distribution 
C)  uniform probability distribution 
D)  normal probability distribution

Question 4

The following probability distribution represents the number of grievances filed per month with the MNM. Corporation.
 $$\begin{array} { l l } 
x&fx)\
0&0.04\1&0.36\2&0.50\3&0.08\4&0.02
\end{array}$$ 
a. Determine the expected value of the number of grievances in a month.
b. Determine the variance.
c. Compute the standard deviation.

Accepted Answer

The answer of The following probability distribution represents the number...

Question 5

Exhibit 5-10
The probability distribution for the number of goals the Lions soccer team makes per game is given below.
 $$\begin{array} { c c } 
\text { Number } & \
\text { Of Goals } & \text { Prabability } \
0 & 0.05 \
1 & 0.15 \
2 & 0.35 \
3 & 0.30 \
4 & 015
\end{array}$$
-Refer to Exhibit 5-10. The expected number of goals per game is

Accepted Answer

A)  0 
B)  1 
C)  2, since it has the highest probability 
D)  2.35

Question 6

Which of the following is a required condition for a discrete probability function?

Accepted Answer

A)  ?fx) = 0 for all values of x 
B)  fx) $\geq$ 1 for all values of x 
C)  fx) < 0 for all values of x 
D)  ?fx) = 1 for all values of x

Question 7

Compute the hypergeometric probabilities for the following values of n and x. Assume N = 8 and r = 5.
a. n = 5, x = 2
b. n = 6, x = 4
c. n = 3, x = 0
d. n = 3, x = 3

Accepted Answer

The answer of Compute the hypergeometric probabilities for the following...

Question 8

The following table shows part of the probability distribution for a random variable x.

$$\begin{array} { r r } 
\mathbf { x } & \mathbf { f x } ) \
0 & 0.2 \
1 & ? \
2 & 0.15 \
3 & ? \
4 & 0.15
\end{array}$$
a. The mean of the above distribution is known to be 1.8 i.e., Ex) = 1.8). Determine f1) and f3).
b. Compute the variance and the standard deviation for the above probability distribution.

Accepted Answer

The answer of The following table shows part of the...

Question 9

Exhibit 5-8
The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3.
-Refer to Exhibit 5-8. The appropriate probability distribution for the random variable is

Accepted Answer

A)  discrete 
B)  continuous 
C)  either discrete or continuous depending on how the interval is defined 
D)  None of these alternatives is correct.

Question 10

Exhibit 5-5
Probability Distribution
 $\begin{array}{ll}x&fx)\
10 & .2 \
20 & .3 \
30 & .4 \
40 & .1
\end{array}$
-Refer to Exhibit 5-5. The expected value of x equals

Accepted Answer

A)  24 
B)  25 
C)  30 
D)  100

Question 11

Determine the probability of being dealt 4 kings in a 5-card poker hand.

Accepted Answer

The answer of Determine the probability of being dealt 4...

Question 12

Exhibit 5-13
Oriental Reproductions, Inc. is a company that produces handmade carpets with oriental designs. The production records show that the monthly production has ranged from 1 to 5 carpets. The production levels and their respective probabilities are shown below.
 $\begin{array}{ll}\text { Production }\
\text { Per Month }&\text { Probability }\
\mathbf{x} & \mathbf{f x}) \
1 & 0.01 \
2 & 0.04 \
3 & 0.10 \
4 & 0.80 \
5 & 005
\end{array}$
-Refer to Exhibit 5-13. The standard deviation for the production is

Accepted Answer

A)  4.32 
B)  3.74 
C)  0.374 
D)  0.612

Question 13

Exhibit 5-12
The police records of a metropolitan area kept over the past 300 days show the following number of fatal accidents.
 $\begin{array}{cc}\text { Number of Fatal }\
\text { Accidents }&\text { Number of Day }\
0 & 45 \
1 & 75 \
2 & 120 \
3 & 45 \
4 & 15
\end{array}$
-Refer to Exhibit 5-12. What is the probability that in a given day there will be less than 3 accidents?

Accepted Answer

A)  0.2 
B)  120 
C)  0.5 
D)  0.8

Question 14

Four percent of the customers of a mortgage company default on their payments. A sample of five customers is selected. What is the probability that exactly two customers in the sample will default on their payments?

Accepted Answer

A)  0.2592 
B)  0.0142 
C)  0.9588 
D)  0.7408

Question 15

Exhibit 5-12
The police records of a metropolitan area kept over the past 300 days show the following number of fatal accidents.
 $\begin{array}{cc}\text { Number of Fatal }\
\text { Accidents }&\text { Number of Day }\
0 & 45 \
1 & 75 \
2 & 120 \
3 & 45 \
4 & 15
\end{array}$
-Refer to Exhibit 5-12. What is the probability that in a given day there will be at least 1 accident?

Accepted Answer

A)  0.15 
B)  0.85 
C)  at least 1 
D)  0.5

Question 16

The expected value for a binomial probability distribution is

Accepted Answer

A)  Ex) = Pn1 - n) 
B)  Ex) = P1 - P) 
C)  Ex) = nP 
D)  Ex) = nP1 - P)

Question 17

Which of the following is a characteristic of a binomial experiment?

Accepted Answer

A)  at least 2 outcomes are possible 
B)  the probability changes from trial to trial 
C)  the trials are independent 
D)  None of these alternatives is correct.

Question 18

Twenty-five percent of the employees of a large company are minorities. A random sample of 7 employees is selected.
a. What is the probability that the sample contains exactly 4 minorities?
b. What is the probability that the sample contains fewer than 2 minorities?
c. What is the probability that the sample contains exactly 1 non-minority?
d. What is the expected number of minorities in the sample?
e. What is the variance of the minorities?

Accepted Answer

The answer of Twenty-five percent of the employees of a...

Question 19

Exhibit 5-8
The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3.
-Refer to Exhibit 5-8. The probability that there are less than 3 occurrences is

Accepted Answer

A)  .0659 
B)  .0948 
C)  .1016 
D)  .1239

Question 20

Seven students have applied for merit scholarships. This year 3 merit scholarships were awarded. If a random sample of 3 applications from the population of 7) is selected,
a. what is the probability that 2 students were recipients of scholarships?
b. what is the probability that no students were the recipients of scholarship?

Accepted Answer

The answer of Seven students have applied for merit scholarships....

Exam 5: Discrete Probability Distributions

Which of the following is not a property of a binomial experiment?

The Poisson probability distribution is a

Which of the following is a required condition for a discrete probability function?

Compute the hypergeometric probabilities for the following values of n and x. Assume N = 8 and r = 5. a. n = 5, x = 2 b. n = 6, x = 4 c. n = 3, x = 0 d. n = 3, x = 3

Exhibit 5-5 Probability Distribution $\begin{array}{ll}x&fx) \\10 & .2 \\20 & .3 \\30 & .4 \\40 & .1\end{array}$ -Refer to Exhibit 5-5. The expected value of x equals

Determine the probability of being dealt 4 kings in a 5-card poker hand.

Four percent of the customers of a mortgage company default on their payments. A sample of five customers is selected. What is the probability that exactly two customers in the sample will default on their payments?

The expected value for a binomial probability distribution is

Which of the following is a characteristic of a binomial experiment?

Exam 5: Discrete Probability Distributions

Which of the following is not a property of a binomial experiment?

The Poisson probability distribution is a

Which of the following is a required condition for a discrete probability function?

Compute the hypergeometric probabilities for the following values of n and x. Assume N = 8 and r = 5. a. n = 5, x = 2 b. n = 6, x = 4 c. n = 3, x = 0 d. n = 3, x = 3

Exhibit 5-5 Probability Distribution xfx) 10.220.330.440.1\begin{array}{ll}x&fx) \\10 & .2 \\20 & .3 \\30 & .4 \\40 & .1\end{array}x10203040​fx) .2.3.4.1​ -Refer to Exhibit 5-5. The expected value of x equals

Determine the probability of being dealt 4 kings in a 5-card poker hand.

Four percent of the customers of a mortgage company default on their payments. A sample of five customers is selected. What is the probability that exactly two customers in the sample will default on their payments?

The expected value for a binomial probability distribution is

Which of the following is a characteristic of a binomial experiment?

Exhibit 5-5 Probability Distribution $\begin{array}{ll}x&fx) \\10 & .2 \\20 & .3 \\30 & .4 \\40 & .1\end{array}$ -Refer to Exhibit 5-5. The expected value of x equals