oints) You roll two six-sided dice, each numbered 1 through 6 and sum up faces.
ID: 3329984 • Letter: O
Question
oints) You roll two six-sided dice, each numbered 1 through 6 and sum up faces. the number of dots on the tw . How many outcomes are in the sample space for this experiment? . Let F be the event that a roll of the two dice totals 5. What is PG . Which event is more likely i. ii. a roll of the two dice totals 6 a roll of the two dice totals 7 OR oints) se an American household at random, and let the random variable Xbe the er of cars (including SUVs and light trucks) the residents own. Here is the bility model if we ignore the few households that own more than six cars. Number of cars Probability 0.09 0.33 0.36 0.14 0.05 0 1 3 4 5 6 CULATIONS must the probabilities sum to? Verify t If this is a valid probability model, what aV of this evenExplanation / Answer
Answer to the question is as below:
1)
a. There are 6*6 = 36 outcomes in this experiment
b. P(F=5) = {(2,3),(1,4),(4,1),(3,2)}/36 = 1/9
c. Sum 6' sample space = {(1,5),(5,1),(4,2),(2,4),(3,3)} = 5
Sum 7' sample space = {(1,6),(6,1),(2,5),(5,2),(3,4),(4,3)} = 7
So, getting a sum of 7 is more probable.
2) If there is valid prob model the prob must sum to 1. Lets check
=.09+.33+.36+.14+.05+.02+.01 = 1
So, yes, it' a valid prob model
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