Question

Let X represent the number of errors per 100 lines of source code in a software application. Suppose X has the probability model: ?[? = ?] = { 0.01 ? = 2 0.25 ? = 3 0.40 ? = 4 0.30 ? = 5 0.04 ? = 6 Calculate the variance of X .

Answer #1

A mail-order computer software business has six telephone
lines. Let x denote the number of lines in use at a specified time.
The probability distribution of x is as follows:
X P(x)
0 0.11
1 0.17
2 0.20
3 0.25
4 0.15
5 0.08
6 0.04
Calculate the probability of:
(a). at most three lines are in use.
(b). fewer than three lines are in use.
(c). at least three lines are in use.
(d). between two and five lines...

1. Within a computer program, the number of bugs (i.e., coding
errors) per lines of code has a Poisson distribution with an
average of fifteen bugs per 1,000 lines.
a. Find the probability that there will be exactly eight bugs in
1,000 lines of code.
b. Find the probability that there will be at least eight bugs
in 1,000 lines of code.
c. Find the probability that there will be at least one bug in
1,000 lines of code.
d....

Let random variable X denote the time (in years) it takes to
develop a software. Suppose that X has the following probability
density function: f(x)= 5??4 if 0 ≤ x ≤ 1, and 0 otherwise. b.
Write the CDF of the time it takes to develop a software. d.
Compute the variance of the number of years it takes to develop a
software.

The following scores represent the number of errors made by each
person on a verbal learning task. Each person was assigned to one
of three study groups Test the hypothesis that the different study
groups all produce the same average number of errors.
Group
Error Scores
Group 1: 16, 7, 19,
24, 31
Group 2: 24, 6, 15,
25, 32, 24, 29
Group 3: 16, 15, 18, 19,
6, 13, 18
1. Calculate ∑X2
2. Calculate (∑x^2)/N also written as...

An accounting office has six incoming telephone lines. Let the
random variable X = the number of busy lines. The probability
distribution function for X is given below.
x
0
1
2
3
4
5
6
f(x)
0.052
0.154
0.232
0.240
?
0.105
0.043
(a). Find the Probability that there are 4 busy lines?
My Ans: It should be 0.826, (1-sum of others).
I'm struggling to answer the rest of them.
(b). Find the expected number of busy lines when...

Suppose that for a given computer salesperson, the probability
distribution of x = the number of systems sold in 1 month
is given by the following table.
x
1
2
3
4
5
6
7
8
p(x)
0.04
0.10
0.13
0.30
0.30
0.11
0.01
0.01
(a) Find the mean value of x (the mean number of
systems sold).
Answer= 4.14
(b) Find the variance and standard deviation of x.
(Round your standard deviation to four decimal places.)
variance = 1.8604...

The data shows the number of weeks employed and the number of
errors made per day for a sample of assembly line workers.
Weeks (x)
Errors (y)
1
20
1
18
2
16
4
10
4
8
5
4
6
3
8
1
10
2
11
1
12
0
12
1
Develop a scatter plot. Describe the relationship
between weeks and errors.
Use a simple least square regression equation to predict the
number of errors. Is there a significant relationship between...

Let X represent the number that occurs when a 6-sided red die is
tossed and Y the number that occurs when a 6-sided green die is
tossed. Find the variance of the random variable 6X-Y.

The following table contains the probability distribution for
the number of traffic accidents daily in a small town. Complete
parts (a) and (b) to the right. Number of Accidents Daily (X)
P(X) 0 0.30 0.30 1 0.34 0.34 2 0.17 0.17 3 0.08 0.08 4 0.06 0.06 5
0.04 0.04 6 0.01 0.01 b. Compute the standard deviation. sigma σ
equals = nothing (Type an integer or decimal rounded to three
decimal places as needed.)

A business has six customer service telephone lines. Consider
the random variable x = number of lines in use at a randomly
selected time. Suppose that the probability distribution of x is as
follows. x 0 1 2 3 4 5 6
0.05 0.10. 0.17 0.41. 0.17 0.07 0.03
Calculate the mean value and standard deviation of x. (Round
your standard deviation to four decimal places.)
μx=
σx=
What is the probability that the number of lines in use is...

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