60% of U.S. households have a personal computer.  In a random sample of 200 households, what is the probability that at least 115 have a PC?  ( hint: use the normal approximation to the binomial distribution)

Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.07. Suppose that, on a given day, 18 online retail orders are placed. Assume that the number of online retail orders that turn out to be fraudulent is distributed as a binomial random variable. Complete parts (a) through (d) below. a. What are the mean and standard deviation of the number of online retail orders that turn out to be fraudulent? The mean number of online retail orders that turn out to be fraudulent is (Type an integer or a decimal. Round to four decimal places as needed,) Instructor tip The standard deviation of the number of fraudulent retail orders is. (Type an integer or a decimal. Round to three decimal places as needed.) Use BINOM.DIST function in Excel to find binomial probabilities. Use the formulas for the mean and the SD. See my Excel tutorials for b. What is the probability that zero online retail orders will turn out to be fraudulent? more information. (Type…

use a normal approximation to find the probability of the indicated number of voters. in the case, assume that 136 eligible voters aged 18-24 are randomly selected. suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted. probability that exactly 36 voted.

Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a given day, 18 online retail orders are placed, Assume that the number of online retail orders that turn out to be fraudulent is distributed as a binomial random variable. Complete parts (a) through (d) below. a. What are the mean and standard deviation of the number of online retail orders that tun out to be fraudulent? The mean number of online retail orders that turn out to be fraudulent is (Type an integer or a decimal. Round to four decimal places as needed.) The standard deviation of the number of fraudulent retail orders is. (Type an integer or a decimal. Round to three decimal places as needed.) b. What is the probability that zero online retail orders will turn out to be fraudulent? (Type an integer or a decimal. Round to four decimal places as needed.) c. What is the probability that one online retail order will turn out to be fraudulent? (Type an…

Use a normal approximation to find the probability of the indicated number of voters. In this​ case, assume that 131 eligible voters aged​ 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged​ 18-24, 22% of them voted.   Probability that fewer than 32 voted

The mean height of women in a country​ (ages 20−​29) is 63.8 inches. A random sample of 55 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 ​inches? Assume σ=2.61.

Based on a study by Dr. P. Sorita at Indiana University, assume that 12% of us have green eyes. In a study of 650 people, it is found that 86 of them have green eyes. (Use normal distribution to approximate binomial distribution) a. Find the probability of at least 86 people with green eyes among 650 randomly selected people. b. Is 86 people with green eyes significantly high? Why?