(i). For the first 5 games of next season, what is the probability that the sports writer correctly predicts exactly 5 games? (ii). For the first 5 games of next season, what is the probability that the sports writer correctly predicts at least 1 game? (iii). There are 16 games in the regular season. How many games of next regular season can be expected to be predicted correctly by the sports writer?

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For this practice, my teacher says the following answers are below. However, I don't know how he got these answers. Please explain.

i) ?.???

ii) ?.???

iii) ??.?

iv) no

17. A local sports writer predicts if the Dallas Cowboys will win or loss each week. Suppose he correctly predicts
the outcome of a game 70% of the time and his predictions are independent.
(i). For the first 5 games of next season, what is the probability that the sports writer correctly predicts exactly 5
games?
(ii). For the first 5 games of next season, what is the probability that the sports writer correctly predicts at least 1
game?
(iii). There are 16 games in the regular season. How many games of next regular season can be expected to be
predicted correctly by the sports writer?
(iv). Does the number you get in part (iii) mean the exact number of games the sports writer will predict correctly
for the 2018 NFL season? Explain.
Transcribed Image Text:17. A local sports writer predicts if the Dallas Cowboys will win or loss each week. Suppose he correctly predicts the outcome of a game 70% of the time and his predictions are independent. (i). For the first 5 games of next season, what is the probability that the sports writer correctly predicts exactly 5 games? (ii). For the first 5 games of next season, what is the probability that the sports writer correctly predicts at least 1 game? (iii). There are 16 games in the regular season. How many games of next regular season can be expected to be predicted correctly by the sports writer? (iv). Does the number you get in part (iii) mean the exact number of games the sports writer will predict correctly for the 2018 NFL season? Explain.
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