Asst2-suggested

# Asst2-suggested - probability that person is a basketball...

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Statistics 427: Homework #2 Solutions to Suggested Problems 2.46 Let event A be that the individual is more than 6 feet tall and let event B be that the individual is a professional basketball player. Then P (A B) = the probability of the individual being more than 6 feet tall knowing that the individual is a professional basketball player, and P (B A) = the probability of the individual being a professional basketball player knowing that the individual is more than 6 feet tall. ) ( ) ( ) | ( B P B A P B A P I = and ) ( ) ( ) | ( A P A B P A B P I = . Since the two probabilities have the same numerator, which is larger depends on which denominator is smaller. In United States, the probability of a person taller than 6 feet (P(A)) should be larger then the probability of a person is a BB player( P(B)). You can also reason that most basketball players are over 6 feet tall, and when you condition on knowing a person is a BB player the probability that the person is over six feet tall is large. On the other hand, knowing that a person is over six feet tall might increase the

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Unformatted text preview: probability that person is a basketball player (i.e., P(B | A) might be a little bit larger than P(B)), but it still won’t be very large because not many people are professional basketball players. 2.50 a. P(M I LS I PR) = 0.05, directly from the table of probabilities b. P(M I Pr) = ) Pr ( ) Pr ( LS M P SS M P I I I I + = 0.07+0.05=0.12 c. P(SS) = sum of 9 probabilities in SS table = 56 P(LS) = 1 - 0.56 = 0.44 d. P(M) = 0.08+0.07+0.12+0.10+0.05+0.07 = 0.49 P(Pr) = 0.02+0.07+0.07+0.02+0.05+0.02 = 0.25 e. 533 . 03 . 08 . 04 . 08 . ) ( ) ( ) | ( = + + = = Pl SS P Pl SS M P Pl SS M P I I I I f. 444 . 10 . 08 . 08 . ) ( ) ( ) | ( = + = = Pl M P Pl M SS P Pl M SS P I I I I 556 . 444 . 1 ) | ( 1 ) | ( = − = − = Pl M SS P Pl M LS P I I 2.53 Since B is contained in A, A ∩ B = B P(B ⏐ A) = ) ( ) ( ) ( ) ( A P B P A P B A P = I = 0833 . 60 . 05 . =...
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## This note was uploaded on 04/07/2010 for the course STAT 427 taught by Professor Staff during the Spring '08 term at Ohio State.

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Asst2-suggested - probability that person is a basketball...

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