Question
In: Statistics and Probability
In the accompanying table, the random variable x represents the number of televisions in a household...
In the accompanying table, the random variable x represents the number of televisions in a household in a certain country. Determine whether or not the table is a probability distribution. If it is a probability distribution, find its mean and standard deviation.
x | P(x)
0 | 0.05
1 | 0.12
2 | 0.24
3 | 0.31
4 | 0.17
5 | 0.11
If the table is a probability distribution, what is its mean? Select the correct choice below and fill in any answer boxes within your choice.
A. Its mean is ____ . (Round to the nearest tenth as needed.)
B. The table is not a probability distribution.
If the table is a probability distribution, what is its standard deviation? Select the correct choice below and fill in any answer boxes within your choice.
A. Its standard deviation is ______.
B. The table is not a probability distribution.
Solutions
orchestra answered 1 year agoRelated Solutions
In the accompanying table, the random variable x represents the number of televisions in a household...
In the accompanying table, the random variable x represents the
number of televisions in a household in a certain country.
Determine whether or not the table is a probability distribution.
If it is a probability distribution, find its mean and standard
deviation. LOADING... Click the icon to view the data. If the table
is a probability distribution, what is its mean? Select the
correct choice below and fill in any answer boxes within your
choice. A. Its mean is nothing....
In the table below the random variable X represents the number of people waiting in line...
In the table below the random variable X represents the
number of people waiting in line at a fast food restaurant during
the lunch hour.
x
0 1 2 3 4 5 Probability 0.0110.035 0.285 0.304 0.239
0.126
a) Verify that this is a discrete probability
distribution. b) Draw a probability histogram. c) Compute and
interpret the mean of the random variable X. d) Compute the
standard deviation of the random variable X. e) What is the
probability that there...
In the following table, the random variable x represents the number of laptop computers that failed...
In the following table, the random variable x represents the
number of laptop computers that failed during a drop-test of six
sample laptops. Use the table to answer the questions a) - e)
below.
x 0 1 2 3 4 5 6
P(x) 0.377 0.399 0.176 0.041 0.005 0.000 0.000
a) Find and report the mean and the standard deviation of this
distribution.
b) Using the range rule of thumb, identify the range of values
containing the usual number of...
The accompanying table describes the random variable x, the numbers of adults in groups of five...
The accompanying table describes the random variable x, the
numbers of adults in groups of five who reported sleepwalking.
Complete parts (a) through (d) below. LOADING... Click the icon
to view the table. a. Find the probability of getting exactly 4
sleepwalkers among 5 adults. nothing (Type an integer or a
decimal. Do not round.) b. Find the probability of getting 4 or
more sleepwalkers among 5 adults. nothing (Type an integer or a
decimal. Do not round.) c. Which...
In the probability distribution to the right, the random variable X represents the number of hits...
In the probability distribution to the right, the random
variable X represents the number of hits a baseball player obtained
in a game over the course of a season. Complete parts (a) through
(f) below. x P(x) 0 0.1685 1 0.3358 2 0.2828 3 0.1501 4 0.0374 5
0.0254
(a) Verify that this is a discrete probability distribution.
This is a discrete probability distribution because all of the
probabilities are at least one of the probabilities is all of...
The random variable X, which represents the number of cherries in a cherry pie, has the...
The random variable X, which represents the number of cherries
in a cherry pie, has the following probability distribution:
a) Find the mean and the variance 2 of the number of
X
b) Find the mean x and the variance of the mean of x̄
from a random sample of 36 countries Cherry.
c) Find the probability that the average number of cherries in
36 cherry countries will be less than 5.5.
The accompanying table gives the number of a popular household item sold by a store over...
The accompanying table gives the number of a popular household
item sold by a store over 30 consecutive days
28
32
46
33
39
40
47
53
56
40
44
21
38
62
57
48
36
22
53
34
24
29
32
38
18
37
46
36
37
45
1. Construct a group frequency distribution of the above data
comprising 6 classes of equal width. Let 15 be the lower limit of
the initial class
2. Use the grouped data...
1. The following probability distribution represents the number of people living in a Household (X), and...
1. The following probability distribution represents the number
of people living in a Household (X), and the probability of
occurrence (P(X)). Compute the Expected Value (mean), the Variance
and the Standard Deviation for this random variable. Show Your
Calculations for the Mean.
X
1
2
3
4
5
P(X) .33 .29
.27
.07 .04
2. Use the binomial formula to compute the probability of a
student getting 8 correct answers on a 10...
Let x be a random variable that represents the level of glucose in the blood (milligrams...
Let x be a random variable that represents the level of glucose
in the blood (milligrams per deciliter of blood) after a 12-hour
fast. Assume that for people under 50 years old, x has a
distribution that is approximately normal, with mean μ = 88 and
estimated standard deviation σ = 28. A test result x < 40 is an
indication of severe excess insulin, and medication is usually
prescribed.
(a) What is the probability that, on a single test,...
Let x be a random variable that represents the level of glucose in the blood (milligrams...
Let x be a random variable that represents the level of
glucose in the blood (milligrams per deciliter of blood) after a 12
hour fast. Assume that for people under 50 years old, x
has a distribution that is approximately normal, with mean
μ = 96 and estimated standard deviation σ = 47. A
test result x < 40 is an indication of severe excess
insulin, and medication is usually prescribed.
(a) What is the probability that, on a single...
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