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statchap6

# statchap6 - Find the probability that he makes at least 3...

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1 Chapter 6 : 6.2 and 6.3 Binomial Probability There are a fixed number of trials ( n ) all of which are independent and repeated under identical conditions Each trial has only two outcomes: SUCCESS and FAILURE For each trial the probability of success ( p ) is the same. Since there are only two outcomes, the probability of failure is q = 1 - p The problem is essentially to find the probability of r successes out of n trials to 0:binompdf( Syntax: ( ) ( ) exactly successes binompdf , , out of trials r n p r P n P X r = = = Example: Daniel Gibson makes 42% of his three point shots. Find the probability that he makes 4 out of 5 three point shots.

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2 Syntax: ( ) ( ) ( ) ( ) ( ) at successes binomcdf , , out of trials 0 1 r n p r P n P P P r P X r = = + + + = most midhorizellipsis Example: Daniel Gibson makes 42% of his three point shots. Find the probability that he makes at most 3 out of 5 three point shots. to A:binomcdf( Example: Daniel Gibson makes 42% of his three point shots.
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Unformatted text preview: Find the probability that he makes at least 3 out of 5 three point shots. ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) Let 5, 3, 0.42; at 3 successes 3 4 5 3 out of 5 trials 1 2 3 4 5 1 1 1 2 3 4 5 1 (5 1 2 ,0.42,2) binomcd n r p P P P P P X P P P P P P P P P P P f P P X = = = = + + = ≥ + + + + + =-+ + = + + - -≤ = least 3 RECAP ( ) ( , , ) used for EXACTLY P X r binompdf n p r = = ( ) ( , , ) used for AT MOST P X r binomcdf n p r ≤ = ( ) 1 ( , , 1) used for AT LEAST P X r binomcdf n p r ≥ = --mean average μ = = = expected value Binomial: np = Example: Daniel Gibson makes 42% of his three point shots. Find the expected number of made shots out of 5. ( ) 5 0.42 2.1 np = = = npq σ = Binomial: ( )( ) 5 0.42 0.58 1.1 = =...
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