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mark looked at the statistics for his favorite baseball player, jose bautista. mark looked at seasons when bautista played 100 or more games and found that bautista's probability of hitting a home run in a game is 0.173. if mark uses the normal approximation of the binomial distribution, what will be the variance of the number of home runs bautista is projected to hit in 100 games? answer choices are rounded to the tenths place.



Answer :

14.3 is probability  of the variance of the number of home runs bautista is projected to hit in 100 games.

How does probability explain work?

  • Probability measures how probable something is to occur.
  • We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.
  • Statistics is the study of events subject to probability.

Given: n = 100

p = 0.173

Variance = np(1-p)

= 100*0.173*0.827

= 14.3071

Therefore, the variance to two decimal places is

= 14.3.

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