An independent research company reported that seventy percent (70%) of Parcel Po
ID: 3150880 • Letter: A
Question
An independent research company reported that seventy percent (70%) of Parcel Post Packages are carried by UPS Ground Transportation. Fifteen (15) packages of instructional material are typically received at the Towson Book Exchange and the method of shipment is recorded.
a. What is the probability that 13 of 15 packages delivered to the Towson Book Exchange were delivered by UPS? P(x=13) = ___________ b. What is the probability that 13 or more of the 15 packages delivered to the Towson Book Exchange were delivered by UPS? P(x = >13) = ____________
c. What is the average number of UPS packages delivered to the Towson Book Exchange on a day when there are 15 Parcel Post deliveries? ____________
d. This problem is Binomial because it is: (Circle answer or answers.)
i Multiple trials with a variable n and a fixed probability of success per trial.
ii Multiple trials with fixed n and more than 2 possible outcomes per trial.
iii Multiple trials with a fixed n and a fixed probability of success per trial.
iv All of the above.
v None of the above.
Explanation / Answer
An independent research company reported that seventy percent (70%) of Parcel Post Packages are carried by UPS Ground Transportation. Fifteen (15) packages of instructional material are typically received at the Towson Book Exchange and the method of shipment is recorded.
n=15
p=0.7
P(X=x) = (nCx) px (1-p)n-x
P(X=13) = (15C13) 0.713 (1-0.7)15-13
a. What is the probability that 13 of 15 packages delivered to the Towson Book Exchange were delivered by UPS? P(x=13) = 0.0916
b. What is the probability that 13 or more of the 15 packages delivered to the Towson Book Exchange were delivered by UPS? P(x = >13) =
=P( x=13)+P( x=14)+P( x=15)
=0.0916+ 0.0305+ 0.0047
=0.1268
c. What is the average number of UPS packages delivered to the Towson Book Exchange on a day when there are 15 Parcel Post deliveries?
Expectation = np = 15*0.7 = 10.5
d. This problem is Binomial because it is: (Circle answer or answers.)
i Multiple trials with a variable n and a fixed probability of success per trial.
ii Multiple trials with fixed n and more than 2 possible outcomes per trial.
iii Multiple trials with a fixed n and a fixed probability of success per trial.
iv All of the above.
v None of the above.
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