Baslc 4.10 A die is rolled two times. Provide a list of the possible outcomes of the two rolls in this form: the result from the first roll and the result from the second roll. Baslc 4.11 Refer to Exercise 4.10. Assume that the die is a fair die, that is, each of the outcomes has a probability of 1/36. What is the probability of observing a. Event A: Exactly one dot appears on each of the two upturned faces? b. Event B: The sum of the dots on the two upturned faces is exactly 4? c. Event C: The sum of the dots on the two upturned faces is at most 4?
Baslc 4.10 A die is rolled two times. Provide a list of the possible outcomes of the two rolls in this form: the result from the first roll and the result from the second roll. Baslc 4.11 Refer to Exercise 4.10. Assume that the die is a fair die, that is, each of the outcomes has a probability of 1/36. What is the probability of observing a. Event A: Exactly one dot appears on each of the two upturned faces? b. Event B: The sum of the dots on the two upturned faces is exactly 4? c. Event C: The sum of the dots on the two upturned faces is at most 4?
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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b. Which of the probability approaches (subjective, classical, or relative frequency)
did you employ in obtaining your answer in part (a)?
P Contents
P Preface
4.3
Basic Event Relations and Probability Laws
+W Statistics &
Baslc
4.10 A die is rolled two times. Provide a list of the possible outcomes of the two rolls in this
Scientific Method
form: the result from the first roll and the result from the second roll.
ET Surveys &
Baslc
4.11 Refer to Exercise 4.10. Assume that the die is a fair die, that is, each of the outcomes has
a probability of 1/36. What is the probability of observing
Experimental
Studies to gather
a. Event A: Exactly one dot appears on each of the two upturned faces?
b. Event B:The sum of the dots on the two upturned faces is exactly 4?
c. Event C: The sum of the dots on the two upturned faces is at most 4?
Data
+ P Data Description
ET Probability &
Baslc
4.12 Refer to Exercise 4.11.
Probability
Distributions
a. Describe the event that is the complement of event A.
b. Compute the complement of event A.
+P Inferences about
Baslc
4.13 Refer to Exercise 4.11.
a. Are events.
b. Are events A and C mutually exclusive?
c. Are events B and C mutually exclusive?
Population Central
and B mutually exclusive?
Values
EP Inferences
Bus.
Comparing 2
Population Central
Values
4.14 A credit union takes a sample of four mortgages each month to survey the homeowners'
satisfaction with the credit union's servicing of their mortgage. Each mortgage is classified as a
fixed rate (F) or variable rate (V).
+P Inferences about
Population
Variances
a. What are the 16 possible combinations of the four mortgages? Hint: One such
possibility would be F¡V½V3F4-
b. List the combinations in event A: At least three of the mortgages are variable rate.
+ P Inferences about
more than 2
Population Central
Values
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