5. In the 2014/2015 European soccer season, Lionel Messi scored goals in 40 of the 68 games he appeared in for Barcelona. Using these statistics, we can predict, for a given set of 10 games in the following season, in how many games will he score. (a) Cast this information in terms of a binomial random variable. What is n, p, and q? (b) Based on this information, what is the probability that Messi scores in 8 or more of the 10 games? (Decimals or ok!) (c) What is the expected number of games in which he will score? What is the standard deviation? (Decimals or ok!) (d) Of the 68 games in the 2014/2015 season, Messi scored multiple goals in 19 games. Using this information, what is the probability that he will score multiple goals in exactly 3 of the 10 games? (Decimals or ok!) (e) What is the expected number of games in which he will score multiple goals? What is the standard deviation? (Decimals or ok!)

Q: How can I solve question 27?

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A:

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A:

Q: Could you give a mathematical explanation for part c please?

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Q: Please solution for part G,  Thanks!

A: (g) n=50, P(∑i=150Xi<1124.54)=?

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Q: Please help to solve part e. Thank you!

A:

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