MATH 3339 FINAL EXAM QUESTIONS
AND ANSWERS 2026 VERIFIED.
Suppose that in a large metropolitan area, 73% of all households have cable tv. Suppose you are
interested in selecting a group of six households from this area. Let X be the number of
households in a group of six households from this area that have cable tv. For what proportion
of groups will at most two of the households have cable tv? - ANS pbinom (2,6,.73)
A potato chip company calculated that there is a mean of 75.4 broken potato chips in each
production run with a standard deviation of 5.2. If the distribution is approximately normal, find
the probability that there will be fewer than 66 broken chips in a run. -
ANS pnorm(66,75.4,5.2)
A distribution of grades in an introductory statistics class (where A = 4, B = 3, etc) is:
x= 0,1,2,3,4
p(x)= 0.1,0.18,.22,.31,.19
find the mean and variance - ANS sum(x*p)
1
, sum(x^2*p)-(sum(x*p)^2)
The weights of male and female students in a class are summarized in the following boxplots:
Which of the following is NOT correct? - ANS The male students have less variability than
the female students.
P(A) = 0.31, P(B)=0.46 and P(AnB)=0.14, find P(AIB) - ANS 0.,14/0.46
Identify the most appropriate test to use for the following situation:A private and a public
university are located in the same city. For the private university, 1046 alumni were surveyed
and 653 said that they attended at least one class reunion. For the public university, 791 out of
1327 sampled alumni claimed they have attended at least one class reunion. Is the difference in
the sample proportions statistically significant? - ANS Two sample z test for proportions
A random sample of 121 cans of fruit nectar is drawn from among all cans produced in a run.
Prior experience has shown that the distribution of the contents has a mean of 12.13 ounces
and a standard deviation of 2.14 ounce. What is the probability that the average contents of the
121 sample cans is less than 11.81 ounces? - ANS pnorm(11.81,12.13,2.14/sqrt(121))
2
AND ANSWERS 2026 VERIFIED.
Suppose that in a large metropolitan area, 73% of all households have cable tv. Suppose you are
interested in selecting a group of six households from this area. Let X be the number of
households in a group of six households from this area that have cable tv. For what proportion
of groups will at most two of the households have cable tv? - ANS pbinom (2,6,.73)
A potato chip company calculated that there is a mean of 75.4 broken potato chips in each
production run with a standard deviation of 5.2. If the distribution is approximately normal, find
the probability that there will be fewer than 66 broken chips in a run. -
ANS pnorm(66,75.4,5.2)
A distribution of grades in an introductory statistics class (where A = 4, B = 3, etc) is:
x= 0,1,2,3,4
p(x)= 0.1,0.18,.22,.31,.19
find the mean and variance - ANS sum(x*p)
1
, sum(x^2*p)-(sum(x*p)^2)
The weights of male and female students in a class are summarized in the following boxplots:
Which of the following is NOT correct? - ANS The male students have less variability than
the female students.
P(A) = 0.31, P(B)=0.46 and P(AnB)=0.14, find P(AIB) - ANS 0.,14/0.46
Identify the most appropriate test to use for the following situation:A private and a public
university are located in the same city. For the private university, 1046 alumni were surveyed
and 653 said that they attended at least one class reunion. For the public university, 791 out of
1327 sampled alumni claimed they have attended at least one class reunion. Is the difference in
the sample proportions statistically significant? - ANS Two sample z test for proportions
A random sample of 121 cans of fruit nectar is drawn from among all cans produced in a run.
Prior experience has shown that the distribution of the contents has a mean of 12.13 ounces
and a standard deviation of 2.14 ounce. What is the probability that the average contents of the
121 sample cans is less than 11.81 ounces? - ANS pnorm(11.81,12.13,2.14/sqrt(121))
2
