MATH 3339 Final Exam Question with 100%
Verified Answers
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?
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.
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
sum(x*p)
sum(x^2p)-(sum(xp)^2)
The weights of male and female students in a class are summarized in the following
boxplots:
Which of the following is NOT correct?
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)
Verified Answers
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?
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.
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
sum(x*p)
sum(x^2p)-(sum(xp)^2)
The weights of male and female students in a class are summarized in the following
boxplots:
Which of the following is NOT correct?
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)
