Women comprise 80.3% of all elementary school teachers. In a random sample of 300 elementary teachers, what is the probability that less than three-fourths are women?
Answer to relevant QuestionsSeventy-eight percent of U.S. homes have a telephone answering device. In a random sample of 250 homes, what is the probability that fewer than 50 do not have a telephone answering device? Check each binomial distribution to see whether it can be approximated by a normal distribution (i.e., are ≥ 5 and ≥5?). a. n = 20, p = 0.5 b. n = 10, p = 0.6 c. n = 40, p = 0.9 d. n = 50, p = 0.2 e. n = 30, p = 0.8 ...Find the area under the standard normal distribution curve for each a. Between z = 0 and z = 1.95 b. Between z = 0 and z = 0.37 c. Between z = 1.32 and z = 1.82 d. Between z = –1.05 and z = 2.05 e. Between z = – 0.03 ...Of the total population of the United States, 20% live in the northeast. If 200 residents of the United States are selected at random, find the probability that at least 50 live in the northeast. The numbers of faculty at 32 randomly selected state-controlled colleges and universities with enrollment under 12,000 students are shown below. Use these data to estimate the mean number of faculty at all state-controlled ...
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