Assignment 2-2 Binomial Distribution

Assignment 2-2 Binomial Distribution - The binomial...

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The binomial distribution is a discrete probability distribution because it describes the probability of occurrence of each value of a discrete random variable, which is a variable that has distinct values. P ( r ) = n! r! ( n r ) ! p r q n r P ( 4 ) = 10 ! 4 ! ( 10 4 ) ! ( 1 2 ) 4 ( 1 2 ) 10 4 = 210 1 16 1 64 0.21 Thus the chance of getting exactly 4 heads is approximately 0.21 P ( r ) = n! r! ( n r ) ! p r q n r P ( 9 ) = 10 ! 9 ! ( 10 9 ) ! ( 1 2 ) 9 ( 1 2 ) 10 9 = 10 1 512 1 2 0.01 Thus the chance of getting exactly 9 heads is approximately 0.01 Since the events of getting 4 heads out of 10 tosses and getting 5 heads out of 10 tosses are mutually exclusive then P ( A B ) = P ( A ) + P ( B ) P ( 4 HEADS 5 HEADS ) = P ( 4 HEADS ) + P ( 5 HEADS ) P ( r ) = n! r! ( n r ) ! p r q n r P ( 4 ) = 10 ! 4 ! ( 10 4 ) ! ( 1 2 ) 4 ( 1 2 ) 10 4 = 210 1 16 1 64 0.21 P ( r ) = n! r! ( n r ) ! p r q n r P ( 5 ) = 10 ! 5 ! ( 10 5 ) ! ( 1 2 ) 5 ( 1 2 ) 10 5 = 252 1 32 1 32 0.25 P ( 4 HEADS 5 HEADS ) 0.21 + 0.25 0.46 Thus the chance of getting 4 heads or 5 heads is approximately 0.46 P ( r ) = n! r! (
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  • Spring '16
  • Binomial, Probability, Probability distribution, Probability theory, Discrete probability distribution, Bernoulli Distribution, n−r

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