Question: Thirty people are selected randomly from a certain population and it is found that 7 people in the sample are shorter than five feet tall.

  1. Thirty people are selected randomly from a certain population and it is found that 7 people in the sample are shorter

than five feet tall. What is the best point estimate of the proportion of people in the population who are less than

five feet tall?

Find the probability that in 180 tosses of a fair die, we will obtain at least 30 twos. Use the normal distribution to

approximate the desired probability.

bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard

deviation of 50. If 23 applicants are randomly selected, find the probability of a rating that is less than 180.

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