In a group of adults, some own iPads, and others do not. Indicate whether the following is a simple or a compound event. Assume two persons are selected randomly.
One person has an iPad and the other does not.
Chapter 04, Section 4.1, Problem 009b
In a group of adults, some own iPads, and others do not. Indicate whether the following is a simple or a compound event. Assume two persons are selected randomly.
At least one person has an iPad.
Chapter 04, Section 4.1, Problem 009c
In a group of adults, some own iPads, and others do not. Indicate whether the following is a simple or a compound event. Assume two persons are selected randomly.
Not more than one person has an iPad.
Chapter 04, Section 4.1, Problem 009d
In a group of adults, some own iPads, and others do not. Indicate whether the following is a simple or a compound event. Assume two persons are selected randomly.
The first person has an iPad and the second does not.
Chapter 04, Section 4.2, Problem 021
A random sample of 932 adults showed that 35 of them have shopped at least once on the Internet. What is the (approximate) probability that a randomly selected adult has shopped on the Internet?
Round your answer to three decimal places.
the tolerance is +/-2%
Chapter 04, Section 4.3, Problem 036
Six hundred adults were asked whether or not they watch for calories and fat content when they buy groceries. The following table gives the two-way classification of their responses, where yes means that an adult watches for calories and fat content and no means he/she does not watch.
Yes
No
No Opinion
Men
79
167
54
Women
109
123
68
Give exact answers in fraction form.
a. If one adult is randomly selected from these 600 adults, find the probability that this adult
i. is a man
Probability =
ii. does not watch for calories and fat content
Probability =
iii. watches for calories and fat content given that this adult is a woman
Probability =
iv. is a man given that this adult has no opinion
Probability =
b. Are events men and yes mutually exclusive?
What about yes and no opinion?
c. Are events men and no independent?
Chapter 05, Section 5.2, Problem 07d
The following table gives the probability distribution of a discrete random variable x.
x
0
1
2
3
4
5
6
P(x)
0.12
0.18
0.27
0.15
0.13
0.09
0.06
Find P(1≤x≤4).
P(1≤x≤4)=
exact number, no tolerance
Chapter 05, Section 5.3, Problem 021
The H2 Hummer limousine has eight tires on it. A fleet of 1218 H2 limos was fit with a batch of tires that mistakenly passed quality testing. The following table lists the frequency distribution of the number of defective tires on the 1218 H2 limos.
Number of defective tires
0
1
2
3
4
5
6
7
8
Number of H2 limos
67
217
332
312
195
73
14
5
3
Construct a probability distribution table for the numbers of defective tires on these limos.
Round your answers to three decimal places.
x
P(x)
0
1
2
3
4
5
6
7
8
Calculate the mean and standard deviation for the probability distribution you developed for the number of defective tires on all 1218 H2 Hummer limousines.
Round your answers to three decimal places.
There is an average of defective tires per limo, with a standard deviation of tires.
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