Eshani is a football player who is responsible for taking the penalty kicks for her team when penalties are awarded. Based on her past performance, the probability she will score any given penalty is 0.8. Calculate the following probabilities, ensuring that you state the probability model used in each part. (a) Calculate the probability that in a series of five penalty kicks taken by Eshani, she scores at least four. (b) Calculate the probability that she scores more than two penalties before one is missed.

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Eshani is a football player who is responsible for taking the penalty
kicks for her team when penalties are awarded. Based on her past
performance, the probability she will score any given penalty is 0.8.
Calculate the following probabilities, ensuring that you state the
probability model used in each part.
(a) Calculate the probability that in a series of five penalty kicks
taken by Eshani, she scores at least four.
(b) Calculate the probability that she scores more than two penalties
before one is missed.
(e) Calculate the mean number of penalties scored by Eshani before
one is missed
Heading 2
Transcribed Image Text:Grammarly 4 T N I Normal No Spacing Heading 1 Paragraph 5 Styles Eshani is a football player who is responsible for taking the penalty kicks for her team when penalties are awarded. Based on her past performance, the probability she will score any given penalty is 0.8. Calculate the following probabilities, ensuring that you state the probability model used in each part. (a) Calculate the probability that in a series of five penalty kicks taken by Eshani, she scores at least four. (b) Calculate the probability that she scores more than two penalties before one is missed. (e) Calculate the mean number of penalties scored by Eshani before one is missed Heading 2
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