suppose Abby scores 70% of her penalty kicks. Her score on average is 1.43.
P= 0.70
She keeps taking penalty kicks until she misses out so, it is geometric distribution.
[tex]Average = \frac{1}{p}[/tex][tex]=\frac{1}{0.70} =1.4285[/tex] ≈ 1.43
The geometric distribution is a kind of discrete possibility distribution that represents the possibility of a wide variety of successive disasters before an achievement is obtained in a Bernoulli trial. A Bernoulli trial is an experiment that could have the simplest two possible effects, ie., success or failure.
The three assumptions are: There are two possible consequences for every trial (fulfillment or failure). the pains are unbiased. The chance of success is identical for every trial. The random variable is identical to the number of unbiased trials prior to the first hit outcome with a chance. The call originates from the geometric development which generates such a distribution.
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