Indy 500 Problem: Hezzy Tate has a 70% probability of finishing in the top ten places in the Indianapolis 500-car race. His wife, Aggie, has an 80% probability of finishing in the top ten. a. What is the probability that Hezzy and Aggie both finish in the top ten? b. The probability that Hezzy finishes in the top ten but Aggie does not is 0.14. Show how you could calculate this number. c. What is the probability that Aggie finishes in the top ten but Hezzy does not? d. What is the probability that neither of them finishes in the top ten? e. The Tates decide to go on a vacation to spend their winnings. They will spend the following amounts, depending on which one or ones win. H and A: Hawaii, $8000 H, not A: California, $3000 A, not H: Florida, $4000 Neither: Stay home, $0 Calculate the mathematically expected

Problem 19

Indy 500 Problem: Hezzy Tate has a 70% probability of finishing in the top ten places in the Indianapolis 500-car race. His wife, Aggie, has an 80% probability of finishing in the top ten. a. What is the probability that Hezzy and Aggie both finish in the top ten? b. The probability that Hezzy finishes in the top ten but Aggie does not is 0.14. Show how you could calculate this number. c. What is the probability that Aggie finishes in the top ten but Hezzy does not? d. What is the probability that neither of them finishes in the top ten? e. The States decide to go on a vacation to spend their winnings. They will spend the following amounts, depending on which one or ones win. H and A: Hawaii, $8000 H, not A: California, $3000 A, notcH: Florida, $4000 Neither: Stay home, $0 Calculate the mathematically expected.

Step-by-step solution

Step 1 of 5

a)

Let is the probability that Hezzy Tate has finished in the top ten places in the Indianapolis 500-car race.

is the probability that Aggie has finished in the top ten places in the Indianapolis 500-car race.

If and are independent use the rule

The probability that Hezzy and Aggie both finish in top ten