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A survey of athletes at a high school isconducted, and the following facts are discovered: 18% of the athletes are football players, 10% are basketball

  1. A survey of athletes at a high school isconducted, and the following facts are discovered: 18% of the athletes are football players, 10% are basketball players, and 2% of the athletes play both football and basketball.

An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player? Probability = %

  1. A basketball player makes 77% of her free throw attempts. Suppose she is awarded 3 free throws during a play, and let X be the number of free throws she makes during this trial. Round the probabilities to 3 decimals.

  1. 76% of all bald eagles survive their first year of life. Give your answers as decimals, not percents. If 50 bald eagles are randomly selected, find the probability that

a. Exactly 35 of them survive their first year of life.

b. At most 36 of them survive their first year of life.

c. At least 36 of them survive their first year of life.

d. Between 32 and 36 (including 32 and 36) of them survive their first year of life.

  • Karina and Amber began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Karina took a test in Social Studies took a test in Social Studies and earned a 74.7, and Amber took a test in English and earned a 63.3.
  • Use the fact that
  • all the students' test grades in the Social Studies class had a mean of 76.3 and a standard deviation of 10.6, and all the students' test grades in English had a mean of 62.8 and a standard deviation of 9.7 to answer the following questions. a) Calculate the z-score for Karina's test grade. Z = Z

b) Calculate the z-score for Amber's test grade. z= z=

c) Which person did relatively better?

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