MAS 291 EXAM REVIEW QUESTIONS AND
100% CORRECT ANSWERS!!
The number of power outages at a nuclear power plant has a Poisson distribution with a
mean of 6 outages per year. The probability that there will be exactly 3 power outages in a
year is
b. 0.0892
If two balanced die are rolled, the possible outcomes can be represented as follows. (1, 1) (2,
1) (3, 1) (4, 1) (5, 1) (6, 1) (1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2) (1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6,
3) (1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4) (1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5) (1, 6) (2, 6) (3, 6) (4,
6) (5, 6) (6, 6) Determine the probability that the sum of the dice is 7.
c. 1/6
A company has 2 machines that produce widgets. An older machine produces 23%
defective widgets, while the new machine produces only 8% defective widgets. In addition,
the new machine produces 3 times as many widgets as the older machine does. Given that a
widget was produced by the new machine, what is the probability it is not defective?
d. 0.92
At one college, GPAs are normally distributed with a mean of 2.6 and a standard deviation
of 0.4. What percentage of students at the college have a GPA between 2.2 and 3?
c. 68%
When is the correlation coefficient zero?
a. when there is no linear correlation
For sample sizes greater than 40, the sampling distribution of the mean will be
approximately normally distributed
d. regardless of the shape of the population.
,Find the critical value or values of $$\chi^2$$ based on the given information. H1: σ > 26.1
n = 9 α = 0.01
c. 20.090
To determine the difference , if any, between two brands of radial tires, 12 tires of each
brand are tested. Assume that the lifetimes of both brands of tires come from the same
normal distribution $$N(\mu, 3300^2).$$ Compute $$P(\overline{X}-\overline{Y} <-
2500).$$
b. 0.0314
Find the mean of thefollowing probability distribution. x 0 1 2 3 4 P(x) 0.19 0.37 0.16 0.26
0.02
c. 1.55
When considering area under the standard normal curve, decide whether the area to the
right of z = 2 is bigger than, smaller than, or equal to the area to the right of z = 2.5.
c. bigger than
Find the percentile for the data point. data set: 3 11 8 6 3 3 11 6 3 11 2 11 15 4 9 3 12 8 6 11
data point: 6
b. 35
Find the critical value or values of x2 based on the given information. H0: σ = 8.0 n = 10 α
= 0.01
d. 1.735, 23.589
Construct a 90% confidence interval for the population mean, μ. Assume the population
has a normal distribution. In a recent study of 22 eighth graders, the mean number of
hours per week that they watched television was 19.6 with a standard deviation of 5.8
hours.
d. (17.47, 21.73)
, Let X be a random variable has the following uniform density function f(x) = 0.1 when 0< x
< 10. What is the probability that the random variable X has a value greater than 5.3?
b. 0.47
Jared was working on a project to look at global warming and accessed an Internet site
where he captured average global surface temperatures from 1866. Which of the four
methods of data collection was he using?
b. Retrospective study
If you were constructing a 99% confidence interval of the population mean based on a
sample of n=25 where the standard deviation of the sample s = 0.05, the critical value of t
will be
b. 2.7969.
Suppose that P(A
B) = 0.3 and P(B) = 0.4. Determine P(A' and B). | a. 0.28
The diameter of ball bearings produced in a manufacturing process can be explained using
a uniform distribution over the interval 4.5 to 6.5 millimeters. What is the probability that
a randomly selected ball bearing has a diameter greater than 5.2 millimeters?
d. 0.65
Suppose that $$X$$ has the probability density function $$f(x)=1.5x^2$$ for $$-1 Chọn
một câu trả lời
d. 0.125
Two white mice mate. The male has both a white and a black fur-color gene. The female
has only white fur-color genes. The fur color of the offspring depends on the pairs of fur-
color genes that they receive. Assume that neither the white nor the black gene dominates.
List the possible outcomes. W = white and B = black Create the sample space of possible
outcomes.
b. WW, BW
100% CORRECT ANSWERS!!
The number of power outages at a nuclear power plant has a Poisson distribution with a
mean of 6 outages per year. The probability that there will be exactly 3 power outages in a
year is
b. 0.0892
If two balanced die are rolled, the possible outcomes can be represented as follows. (1, 1) (2,
1) (3, 1) (4, 1) (5, 1) (6, 1) (1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2) (1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6,
3) (1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4) (1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5) (1, 6) (2, 6) (3, 6) (4,
6) (5, 6) (6, 6) Determine the probability that the sum of the dice is 7.
c. 1/6
A company has 2 machines that produce widgets. An older machine produces 23%
defective widgets, while the new machine produces only 8% defective widgets. In addition,
the new machine produces 3 times as many widgets as the older machine does. Given that a
widget was produced by the new machine, what is the probability it is not defective?
d. 0.92
At one college, GPAs are normally distributed with a mean of 2.6 and a standard deviation
of 0.4. What percentage of students at the college have a GPA between 2.2 and 3?
c. 68%
When is the correlation coefficient zero?
a. when there is no linear correlation
For sample sizes greater than 40, the sampling distribution of the mean will be
approximately normally distributed
d. regardless of the shape of the population.
,Find the critical value or values of $$\chi^2$$ based on the given information. H1: σ > 26.1
n = 9 α = 0.01
c. 20.090
To determine the difference , if any, between two brands of radial tires, 12 tires of each
brand are tested. Assume that the lifetimes of both brands of tires come from the same
normal distribution $$N(\mu, 3300^2).$$ Compute $$P(\overline{X}-\overline{Y} <-
2500).$$
b. 0.0314
Find the mean of thefollowing probability distribution. x 0 1 2 3 4 P(x) 0.19 0.37 0.16 0.26
0.02
c. 1.55
When considering area under the standard normal curve, decide whether the area to the
right of z = 2 is bigger than, smaller than, or equal to the area to the right of z = 2.5.
c. bigger than
Find the percentile for the data point. data set: 3 11 8 6 3 3 11 6 3 11 2 11 15 4 9 3 12 8 6 11
data point: 6
b. 35
Find the critical value or values of x2 based on the given information. H0: σ = 8.0 n = 10 α
= 0.01
d. 1.735, 23.589
Construct a 90% confidence interval for the population mean, μ. Assume the population
has a normal distribution. In a recent study of 22 eighth graders, the mean number of
hours per week that they watched television was 19.6 with a standard deviation of 5.8
hours.
d. (17.47, 21.73)
, Let X be a random variable has the following uniform density function f(x) = 0.1 when 0< x
< 10. What is the probability that the random variable X has a value greater than 5.3?
b. 0.47
Jared was working on a project to look at global warming and accessed an Internet site
where he captured average global surface temperatures from 1866. Which of the four
methods of data collection was he using?
b. Retrospective study
If you were constructing a 99% confidence interval of the population mean based on a
sample of n=25 where the standard deviation of the sample s = 0.05, the critical value of t
will be
b. 2.7969.
Suppose that P(A
B) = 0.3 and P(B) = 0.4. Determine P(A' and B). | a. 0.28
The diameter of ball bearings produced in a manufacturing process can be explained using
a uniform distribution over the interval 4.5 to 6.5 millimeters. What is the probability that
a randomly selected ball bearing has a diameter greater than 5.2 millimeters?
d. 0.65
Suppose that $$X$$ has the probability density function $$f(x)=1.5x^2$$ for $$-1 Chọn
một câu trả lời
d. 0.125
Two white mice mate. The male has both a white and a black fur-color gene. The female
has only white fur-color genes. The fur color of the offspring depends on the pairs of fur-
color genes that they receive. Assume that neither the white nor the black gene dominates.
List the possible outcomes. W = white and B = black Create the sample space of possible
outcomes.
b. WW, BW
