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(Step-by-Step) In a large university, 20% of the students are business majors. A random sample of 100 students is selected, and their majors are recorded. what

Question: In a large university, 20% of the students are business majors. A random sample of 100 students is selected, and their majors are recorded.

  1. what are the expected value, standard deviation, and the shape of the sampling distribution?
  2. what is the probability that the sample contains at least 12 business majors?
  3. what is the probability that the sample contains less than 15 business majors?
  4. what is the probability that the sample contains between 12 and 14 business majors?

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