MGMT 650 Quiz 3 Answers (2020) UMUC.docx

MGMT 650 Quiz 3 Answers (2020)
UMUC
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MGMT 650 Quiz 3 Answers (2020) UMUC
1. Select all VALID probabilities values.
2. Is a good hitter in baseball who has struck out the last six times due for a hit his next time up?
3. After many observations, the relative frequency = # of events of interest / total # events appears to settle
down to a constant value.
4. How many permutations can be formed by sampling 5 things from 8 different things without
replacement?
5. How many combinations of 3 people can be formed from 8 people?
6. If event A and event B cannot occur jointly (simultaneously), P(A and B) = 0, and A and B are called
mutually exclusive events. So, if a local zoo only had mammals and reptiles, the sample space for types
of zoo animals would be only mammals and reptiles.
Based on the zoo that had only mammals and reptiles, the sample space for this question contains only
Mammals and Reptiles.
7. Toss 2 dice, and let the event be the sum of the values of the top faces. The possible outcomes are
computed inside the following table
at the intersection of the row of the "toss of 1st die" and the column of "toss of 2nd die":
8. What is the probability of choosing a red card or a King from a deck of 52 cards?
For this event, choosing a red card or choosing a King, where choosing a red card and choosing a King
may occur jointly, which rule applies?
9. P(A) = 0.500
P(B) = 0.200
P(A and B) = 0.100
Are events A and B independent?
10. When are events A and B dependent?
11. Two customers enter a store. Independently, they make decisions to purchase or not to purchase. The
following diagram shows how the outcomes can occur and combine with red bolding of sequence
Customer 1 does not purchase and Customer 2 does not purchase.
12. Assume the following new probabilities:
P(Customer makes a purchase) = 0.450
P(Customer does not make a purchase) = 1- 0.450
Compute the probability that neither customer purchases (# purchases = 0), and enter your answer
with 3 decimal places.
13. There are two mutually exclusive reasons for visiting the emergency room of the local hospital: it is either
an emergency or it is not an emergency. If the probability that a patient visiting the emergency room has
an emergency is 0.65, what is the probability that the next patient has an emergency and the patient after
the next one does not have an emergency? Assume that the patients arrive at the emergency room
independently. (Round to three decimal places.)