Question
In: Statistics and Probability
Let X be the number of packages being mailed by a randomly selected customer at a...
Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows: x 1 2 3 4 p(x) .4 .3 .2 .1
a. Consider a random sample of size n = 2 (two customers), and let X be the sample mean number of packages shipped. Obtain the probability distribution of X .
b. Refer to part (a) and calculate P (Xbar is less than or equal to 2.5)
c. Again consider a random sample of size n = 2, but now focus on the statistic R = the sample range (difference between the largest and smallest values in the sample). Obtain the distribution of R.
d. If a random sample of size n = 4 is selected, what is p (Xbar less than or equal to 1.5)?
Solutions
orchestra answered 1 year agoRelated Solutions
Let X be the number of packages being mailed by a randomly selected customer at a...
Let X be the number of packages being mailed by a
randomly selected customer at a certain shipping facility. Suppose
the distribution of X is as follows.
x
1
2
3
4
p(x)
0.1
0.4
0.2
0.3
(a)
Consider a random sample of size n = 2 (two customers),
and let
X
be the sample mean number of packages shipped. Obtain the
probability distribution of
X.
x
1
1.5
2
2.5
3
3.5
4
P(x)
(b)
Refer to part (a)...
Let x be the number of errors that appear on a randomly selected page of a...
Let x be the number of errors that appear on a randomly
selected page of a book. The table lists the probability
distribution of x.
x
0
1
2
3 4
P(x)
.73 .16
.06
.04 .01
Find the mean of
x
b)
Standard the deviation
x
P(x)
xP(x)
x2
x2P(X)
According to a consulting firm 20% of adults say that they most
often use their vacation time for international travel. Assume that
this result is true for the current...
Let x be the number of courses for which a randomly selected student at a certain...
Let x be the number of courses for which a randomly selected
student at a certain university is registered. The probability
distribution of x appears in the table shown below:
x 1 2 3 4 5 6 7
p(x) .05 .03 .09 .26 .37 .16 .04
(a) What is P(x = 4)? P(x = 4) =
(b) What is P(x 4)? P(x 4) =
(c) What is the probability that the selected student is taking
at most five courses? P(at...
Let X = the number of nonzero digits in a randomly selected zip code. What are...
Let X = the number of nonzero digits in a randomly selected zip
code. What are the possible values of X? Is X discrete or
continuous? Give three possible outcomes and their associated X
values.
A college professor always finishes his lectures within 2
minutes after the bell rings to end the period and the end of the
lecture. Let X = the time that elapses between the bell
and the end of the lecture. What could be the values...
Forty randomly selected people were asked the number of people living in their home. Let X...
Forty randomly selected people were asked the number of people
living in their home. Let X = the
number of people living in one home. The results are as
follows:
x
frequency
relative frequency
1
2
2
5
3
8
4
12
5
12
6
0
7
1
Complete the frequency table.
Find the sample mean ?
c. Find the sample standard deviation, s. What does this tell us
about the data?
d. Construct a histogram of the data....
59 randomly selected students were asked the number of pairs of shoes they have. Let X...
59 randomly selected students were asked the number of pairs of
shoes they have. Let X represent the number of pairs of shoes. The
results are as follows:
Round all your answers to 4 decimal places where
possible.
The mean is:
The median is:
The sample standard deviation is:
The first quartile is:
The third quartile is:
What percent of the respondents have at least 12 pairs of Shoes?
%
53% of all respondents have fewer than how many pairs...
64 randomly selected students were asked the number of pairs of shoes they have. Let X...
64 randomly selected students were asked the number of pairs of
shoes they have. Let X represent the number of pairs of shoes. The
results are as follows:
# of Pairs of
Shoes
4
5
6
7
8
9
10
11
12
13
14
15
Frequency
4
4
3
7
2
5
10
5
5
8
6
5
Round all your answers to 4 decimal places where
possible.
The mean is:
The median is:
The sample standard deviation is:
The...
57 randomly selected students were asked the number of pairs of shoes they have. Let X...
57 randomly selected students were asked the number of pairs of
shoes they have. Let X represent the number of pairs of shoes. The
results are as follows:
# of Pairs of Shoes
4
5
6
7
8
9
10
11
Frequency
7
8
14
4
3
4
7
10
Round all your answers to 4 decimal places where
possible.
The mean is: __________________
The median is: __________________
The sample standard deviation is: __________________
The first quartile is: __________________
The...
Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X...
Forty randomly selected students were asked the number of pairs
of sneakers they owned. Let X = the number of pairs of
sneakers owned. The results are as follows.
X
Frequency
1
3
2
3
3
7
4
13
5
13
6
1
Find: Sample Mean, Standard Deviation, Relative Frequency and
Cumulative Relative Frequency, First and Third Quartiles, What
percent of the students owned at least five pairs? (Round your
answer to one decimal place.), 40th Percentile and 90th
Percentile.
57 randomly selected students were asked the number of pairs of shoes they have. Let X...
57 randomly selected students were asked the number of pairs of
shoes they have. Let X represent the number of pairs of shoes. The
results are as follows:
# of Pairs of
Shoes
4
5
6
7
8
9
10
11
Frequency
7
9
7
5
9
3
8
9
Round all your answers to 4 decimal places where
possible.
The mean is:
The median is:
The sample standard deviation is: _______
The first quartile is: _______
The third quartile...
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