Rework problem 4 from section 3.2 of your text, involving sets E and F. Suppose for this problem that Pr[E]=1/12, Pr[F]=1/12, an
d Pr[E∩F′]=0/1
1) What is Pr[E|F]?
2) What is Pr[F|E]?
1) What is Pr[E|F]?
2) What is Pr[F|E]?
1 answer:
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Answer:
15,240,960 serial numbers
Step-by-step explanation:
Since no repeats are allowed and the order matters, the number of possible serial numbers is given by the product of the permutation of 4 out of 9 letters by the permutation of 4 out of 10 numbers:
There are 15,240,960 ways to generate a serial number.
Answer:
0.8675
Step-by-step explanation:
Given that people ages 16-30 make up 15% of drivers on the road, 80% of drivers are aged 31-64, and 5% of drivers are aged 65+.
Furthermore, suppose drivers in each age range cause car accidents at the rates of 6%, 4%, and 9%, respectively.
age 16-30 31-64 >65
Prob 0.15 0.8 0.05 1
Prob for accidents 0.06 0.09 0.04
Product 0.009 0.072 0.002 0.083
Prob for 31-64 causing it/accident =
Using Bayes theorem we got answer as 0.8675