mgf1107notes8

# mgf1107notes8 - PROBABILITY Example: The governor has...

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Example: The governor has narrowed his choices for a new agency director to five finalists: Jimmy Page Democrat Eric Clapton Republican Richie Blackmore Republican Nancy Wilson Republican Ted Nugent Republican The governor has no preference for one over the other; in other words, each has an equally likely chance of being chosen. Find the probability that: a) Jimmy Page is chosen b) Nancy Wilson is chosen c) Jimmy Page or Nancy Wilson is chosen d) a female is chosen e) a Republican is chosen f) a female Republican is chosen g) a Democrat or Republican is chosen h) an independent is chosen Solution: a) 1/5 b) 1/5 c) 2/5 d) 2/5 e) 4/5 f) 1/5 (Nancy Wilson is the only female Republican) g) 5/5 = 1 (All five are either Democrats or Republicans) h) 0/5 = 0 (None of the five are independents) Some observations: 1) The probability of an event is always a number between 0 and 1. 2) The probability of an impossible event is 0. 3) The probability of a certain event is 1. Highly unlikely to occur Very likely to occur 0 1 Example: Past records show that the probability that a senator votes to confirm a nominee to the federal judiciary is .88. What is the probability that the senator votes to reject a nominee to the federal judiciary? Solution: 1- .88 = .12 Example: The probability that an FIU student voted for the incumbent for Student Government President is .09 and the probability that he or she voted for the lone challenger was .06. What is the probability that an FIU student didn’t vote at all in the election? Solution:

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## This note was uploaded on 04/29/2008 for the course MGF 1107 taught by Professor Storfer during the Spring '08 term at FIU.

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mgf1107notes8 - PROBABILITY Example: The governor has...

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