Based on the Consumer Transportation Survey data​ below, develop a probability mass function and cumulative distribution function​ (both tabular and as​ charts) for the random variable number of children.   a. What is the probability that an individual in this survey has fewer than three​ children? b. What is the probability that an individual in this survey has at least one​ child? c. What is the probability that an individual in this survey has five or more​ children?

Family Entertainment Costs – The mean total costs for all forms of family entertainment (i.e. movies, toys, video games, plays, concerts, etc.) was $12,000 per year. Suppose that ? = $2000 and 36 families are randomly selected. Find the probability that the sample mean cost for these 36 families is a) Less than $11,000. b) More than $14,000. c) Between $11,000 and $14,000.

I’m taking a probability and a statistics class. Please get this correct so I can study.

Complete the following table (fill in the missing probability distributions and calculate the joint distribution): Complete the following table (fill in the missing probability distributions and calculate the joint distribution): Life (years) Salvage Value Value Porbability (%) Value Porbability (%) 10 $7,500 7 4 10 7 4 60 15 7,500 7,500 5,000 5,000 5,000 60 Joint Probability (%)

The U.S. Coast Guard maintains a database of the number, source, and location of oil spills in the U.S. navigable and territorial waters. The following is a probability distribution for location of oil spill events. [Source: Statistical Abstract of the United States.]   Location Probability Atlantic Ocean 0.008 Pacific Ocean 0.037 Gulf of Mexico 0.233 Great Lakes 0.020 Other Lakes 0.002 Rivers and canals 0.366 Bays and sounds 0.146 Harbors 0.161 Other 0.027   If an oil spill is selected at random from the database, what is the probability:   The oil spill occurred in an ocean?         The oil spill occurred in a lake or harbor?         The oil spill did not occur in a lake, ocean, river, or canal?

An auditor for Health Maintenance Services of Georgia reports 40 percent of policyholders 55 years or older submit a claim during the year.  Twenty policyholders are randomly selected for company records. (Binomial Dist.)  a. How many of the policyholders would you expect to have filed a claim within the last year? ie. The mean value.  b. What is the probability that 10 of the selected policyholders submitted a claim last year? c. What is the probability that 10 or more of the selected policyholders submitted a claim last year?

The following table shows the distribution of murders by type of weapon for murder cases in a particular country over the past 12 years. Complete parts (a) through (e). (b) What is the probability that a randomly selected murder resulted from a rifle or shotgun? (Type a decimal rounded to three decimal places as needed.) P(rifle or shotgun) = Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. OA. If 1000 murders were randomly selected, exactly of them would have resulted from a rifle or shotgun. B. If 1000 murders were randomly selected, we would expect about of the to have resulted from a rifle or shoto (c) What is the probability that a randomly selected murder resulted from a handgun, rifle, or shotgun? P(handgun, rifle, or shotgun) = (Type a decimal rounded to three decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. OA. If 1000 murders…

Use the data in the table below, which shows the employment status of individuals in a particular town by age group. Age Full-time Part-time Unemployed 0—17 25 177 372 18—25 341 194 344 26—34 460 67 27 35—49 558 179 339 50+ 475 176 362 If a person is randomly chosen from the town's population, what is the probability that the person is under 18 or employed part-time?

A stem-and-leaf plot for the number of touchdowns scored by all Division 1A football teams is shown below. Complete parts (a) through (c). 1345788 2012 23457889 3001112233445577789 40012234555567889 Key: 115 = 15 50 235578 61 367 7 87 (a) If a team is selected at random, find the probability the team scored at least 32 touchdowns. 0.651 (Round to three decimal places as needed.) (b) If a team is selected at random, find the probability the team scored between 40 and 49 touchdowns inclusive. 0.254 (Round to three decimal places as needed.) (c) If a team is selected at random, find the probability the team scored more than 70 touchdowns. 0.016 (Round to three decimal places as needed.) Are any of these events unusual? Select all the unusual events below. A. Scoring between 40 and 49 touchdowns inclusive is unusual. B. Scoring more than 70 touchdowns is unusual. C. Scoring at least 32 touchdowns is unusual. D. None of the events are unusual.

A researcher wanted to study the commuting habits of community college students and faculty. He wanted to compare their mode of transportation to the college. He asked if they walk, bike, or drive to campus. The following table represents the data that was collected.   Walks to campus Bikes to campus Drives to campus Total Students 70 22 78 170 Faculty 5 4 23 32 Total 75 26 101 202   A. Find the probability that a randomly selected member of faculty walks to campus.   B. If you are randomly selecting a person from those who bike to campus, what is the probability that you will select a student.   C. Perform a Test of Independence to determine if commuting habits are dependent on being a student or a faculty.