Census data are often used to obtain probability distributions for various random variables. Census data for families in a particular state with a combined income of $50,000 or more show that 15% of these families have no children, 21% have one child, 29% have two children, and 35% have three children. From this information, construct the probability distribution for x, where x represents the number of children per family for this income group. (Give your answers correct to two decimal places.) P(0 children) =   P(1 child) =   P(2 children) =   P(3 children) =

1. Use this table for the following questions:                        Female      Male         TotalShort Hair       20              40             60 Long Hair        30              10             40 Total                50              50             100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…

Megan has purchased the insurance policy from an insurance company to cover the value of hers new car in case if it gets totaled for the price of $1500 per year. Megan's car worth $20000 and the probability of her totaling the car during the length of the policy is estimated to be 0.4%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX :  XX  outcome profit xx ,$  P(X=x)P(X=x)    car is totaled       car is not totaled     2. Use the probability distribution table to find the following:  E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.)  SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)

The table lists the drinking habits of a group of college students. If a student is chosen at random, find the probability of getting someone who is men or heavy drinker. Round your answer to three decimal places. Sex Regular Drinker Heavy Drinker Total Man Woman Total 87 101 188 0.463 0.032 0.016 0.479 Non-drinker 35 87 122 49 11 60 3 3 6