Question

**A company is studying the number of monthly absences
among its 125 employees. The following probability distribution
shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5
days last month.**

**Number of days absent
Probability**

**0 0.5**

**1 0.2**

**2 0.15**

**3 0.1**

**4 0.04**

**5 0.01**

**Is this a probability distribution? Why? What is the
random variable? What is the probability that a randomly selected
employee were absent for more than 3 days? What is the probability
that a randomly selected employee were absent for at least 3
days?**

Answer #1

A company is studying the number of monthly absences among its
125 employees. The following probability distribution shows the
likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last
month.
Number of days absent 0 1 2 3 4 5
Probability 0.5 0.2 0.15 0.1 0.04 0.01
Is this a probability distribution? Why? What is the random
variable? What is the probability that a randomly selected employee
was absent for more than 3 days? What...

The following chart represents the probability distribution for
the numbers of employees absent per day at a medium-sized
business.
x( # of the employees absent)
f(x) probability
0
0.3
1
0.2
2
0.1
3
0.3
4
0.1
1. What is the probability that at least 4 employees will be
absent?
2. What is the probability that 1 or more employees will be
absent?
3. What is the probability that fewer than 3 employees will be
absent?
4. What is the...

A local company is concerned about the number of days missed by
its employees due to illness. A random sample of 10 employees is
selected. The number of days absent in one year is listed below. An
incentive program is offered in an attempt to decrease the number
of days absent. The number of days absent in one year after the
incentive program is listed below.
Employee
A
B
C
D
E
F
G
H
I
J
Days Absent Before...

Suppose that the following frequency table contains data on the
number of absences in a school year due to illness or injury for
100 randomly selected high school students. Use the table to
determine the median number of absences for these 100 students.
Provide your answer with precision to one decimal place.
Number of absences 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
Frequency 25, 10, 10, 5, 9, 12, 9, 9, 4, 2, 3, 2...

The Human Resources Director for a large company is studying
absenteeism among hourly workers. A sample of 120 day shift
employees showed 15 were absent more than five days last year. A
sample of 80 afternoon employees showed 18 to be absent five or
more times. At the 0.01 significance level can we conclude that
there is a higher proportion of absenteeism among afternoon
employees?
1. State the Null and Alternate Hypothesis(H0, H1).
2. Determine the level of significance.
3....

A switchboard at some company receives calls following a
probability distribution shown below where the number of calls and
the probability of receiving those calls are recorded.
x 0 1 2 3 4 5 6 7 8 P(x) 0.04 0.05 0.15 0.02 0.28 0.03 0.20 0.11
0.12
x
0
1
2
3
4
5
6
7
8
p(x)
0.04
0.05
0.15
0.02
0.28
0.03
0.20
0.11
0.12
a. Calculate the probability that the switchboard receives:
i. Less than four calls....

Suppose that the following frequency table contains data on the
number of absences in a school year due to illness or injury for 80
randomly selected high school students. Use the table to determine
the median number of absences for these 80 students. Provide your
answer with precision to one decimal place.
Number of absences
Frequency
0
20
1
9
2
11
3
8
4
5
5
10
6
4
7
3
8
3
9
1
10
3
11
3...

Suppose that the following frequency table contains data on the
number of absences in a school year due to illness or injury for
100 randomly selected high school students. Use the table to
determine the median number of absences for these 100 students.
Provide your answer with precision to one decimal place.
Number of absences
Frequency
0
25
1
10
2
10
3
5
4
9
5
12
6
9
7
9
8
4
9
2
10
3
11
2...

A
survey among freshman at a large university showed the number of
hours spent studying the week before finals was normally
distributed with a mean of 25 hours in a standard deviation of
seven hours what is the probability of randomly selected freshman
spends 35 and 43 hours studying the week before finals?

During a outdoor yoga class, the temperature (?) and the number
of absences (?) on 9 randomly selected days are recorded. Find the
equation of the least squares regression line for the data
below.
Temp. (?) 72 85 91 90 88 98 75 100 80
Absences (?) 4 8 11 12 9 15 3 18 5
(A) ? ̂ = −35.087 + 0.514?
(B) ? ̂ = 0.514 − 35.087?
(C) ? ̂ = 69.209 + 1.837?
(D) ? ̂...

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