I am lost with questions 3-5
STA 2023 – Lab #6 1. What is the ideal number of children to have in a family? The following data represent the answers when this question was asked of a random sample of 900 adult Americans. Construct a discrete probability distribution for this data. Report all probabilities to 4 decimal places. X P(X) Find the mean and standard deviation for this probability distribution. 2. A life insurance company sells a $100,000 one -year term life insurance policy to a 35 -year -old male for $200. The probability the male survives the year is 0.998725. Compute the expected value of this policy to the life insurance company. 3. 55 % of cell phon e users use their cell phones to access the Internet. A random sample of seven cell phone users was chosen. a. Find the mean, standard deviation, and variance for this probability distribution. State how you would use binompdf or binomcdf in your calculator to get the following probabilities . Then find the following probabilities: b. Exactly 3 people use their phones to access the internet. Command: P(x) = c. At most 4 people use their phones to access the internet. Command: P(x) = d. At least 2 people use their phones to access the internet. Command: P(x) = e. More than 5 people use their phones to access the internet. Command: P(x) = f. Between 3 and 6 people inclusive, use the ir phones to access the internet. Command: P(x) = 4. According to a Gallup poll, 48 % of U.S. women stated that the minimum driving age should be 18. From a random sample of 15 U.S. women, find the following probabilities: a. Fewer than 4 believe the minimum driving age should be 18. b. Is this unusual? c. At least 10 believe the minimum driving age should be 18. d. Is this unusual? 5. In the Healthy Handwashing Survey conducted by Bradley Corporation, it was found that 6 3% of adult Americans operate the flusher of toilets in public restrooms with their foot. Suppose a random sample of 20 adult Americans is obtained. Find the following probabilities: a. Exactly 12 flush public toilets with their foot b. At most 11 flush pub lic toilets with their foot c. More than 15 flush public toilets with their foot d. Is this unusual?