- Please Help With This 3 Part Problem 1 (96.23 KiB) Viewed 32 times
A. Find the mean B. Find the standard deviation Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.41. The table on the right describes the probability of having x number of girls. Determine whether the table describes a probability distribution. If it does, find the mean and standard deviation. Is it unusual for a family of three children to consist of three girls? X 0 1 2 3 P(x) 0.205 0.428 0.298 0.069 Find the mean of the random variable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. = O A. u = (Round to two decimal places as needed.) O B. The table is not a probability distribution.
A brand name has a 60% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small sample of 7 randomly selected consumers. Complete parts (a) through (d) below. A. What is the probability that exactly of the selected consumers recognize the brand name? B. What is the probability that all of the selected consumers recognize the brand name? C. What is the probability that at least 5 of the selected consumers recognize the brand name? D. If 4 consumers are randomly selected, is 3 an unusually high number of consumers that recognize the brand name? a. What is the probability that exactly 6 of the selected consumers recognize the brand name? The probability that exactly 6 of the 7 consumers recognize the brand name is (Round to three decimal places as needed.)