Good Evening, I need assistance awnsering these questions please.

1.) Part 1?

A family has three children. If the genders of these children are listed in the order they are born, there are eight possible outcomes: BBB, BBG, BGB, BGG, GBB, GBG, GGB, and GGG. Assume these outcomes are equally likely. Let X represent the number of children that are girls. Find the probability distribution of X. Part: 0 / 2 Part 1 of 2 (a) Find the number of possible values for the random variable X. There are possible values for the random variable X.Craps: In the game of craps, a pair of dice are rolled, and people bet on the outcome. For example, you can bet $1 that the dice 1 will total 11. The probability that you win is 18 , and if you win, your profit is $15. If you lose, you lose $1. Part: 0 / 2 Part 1 of 2 (a) What is the expected value of your profit? Round the answer to two decimal places. The expected value of profit is dollars.Businms projection: An investor is considering an investment in a startup company. She estimates that she has probability 0.38 of a $12,400 loss, probability 0.2.9 of a $92.00 prot, probability 0.11 of a $30,000 prot, and probability 0.22 of breaking even (a prot of 50}. What is the expected value of the prot? Would you advise the investor to make the invesiment? The expected value of the prot is 5 C] . Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows. X 1 2 3 4 P(x) 0.67 0.14 0.12 0.04 0.03 Send data to Excel Part 1 of 7 (a) Find P (4). P (4) = Part 2 of 7 (b) Find P(greater than 4). P(greater than 4) = Part 3 of 7 (c) Find the probability that a car has only one occupant. The probability that a car has only one occupant is{d} nd the probability that a car has fewer than four occupants. The probability that a car has fewer than four occupants is [:J . (e) Compute the mean \"1' Round the answer to two decimal places. The mean u: is E]. {f} Compute the standard deviation or. Round the standard deviation to three decimal places. The standard deviation oJr is [:J . (g) To save energy, a goal is set to have the mean number of occupants be at least two per car. Has this goal been met? Since the computed mean number of occupants per car is only D , then this goal to have the mean numberof occupants to be at least two per car (Choose one) 1 been met