Anyone help me with these questions pleaseee

Suppose Tina is throwing a surprise party to celebrate her friend Trevor's birthday, and she asks her good friend Tom to help with the music. The two agree to create a joint song playlist for Trevor to listen to during the car ride to the party. Tina chooses to add 15 songs to the playlist, and Tom chooses to add 11 songs. Suppose the playlist they created is signicantly too long, and the car ride will only last long enough for the three to hear seven of the songs on the playlist. Also, suppose that each time a song is selected to be played, it is randomly selected from the remaining songs Without replacement. After careful consideration, Tina is a little worried about Tom's song choices and hopes that Trevor will not hear too many of his songs. Let X be the random variable representing the number of Tom's songs that are played during the car ride. Calculate the probability that Trevor will hear zero, one, or two of Tom's song choices. Round your answers to the nearest three decimal places. Finally, calculate the probability that at most two of Tom's song choices are played during the car ride. Please round your answer to the nearest three decimal places. Overbooking is the practice of selling more items than are currently available. Overbooking is common in the travel industry; it allows a vehicle (airline, train, bus, cruise ship, hotel, and so forth) to operate at or near capacity, despite cancellations, n0- shows, or late arrivals. Overselling is when more conrmed customers show up to use the vehicle than there is space available. When this happens, at least one customer will be denied the service that they paid for, either voluntarily (sometimes with an incentive provided by the supplier) or involuntarily. This is called getting "bumped." Suppose that for a particular ight, an airline believes that 2% of ticket holders do not make the ight. The jet making the trip holds 189 passengers. If the airline sells 192 tickets, what is the probability that the ight will be oversold and they will have to bump a passenger? Assume that cancellations are independent. Calculate the probabilities that one, two, and three people will be bumped, and then use those values to determine the probability that at least one passenger will be bumped. Give each answer to four decimal places. Avoid rounding within calculations. P(three people are bumped) = :] P(at least one person is bumped) = C] Suppose that the prevalence of a certain type of tree allergy is 0.32 in the general population. If 100 people randomly chosen from this population are tested for this allergy, what is the probability that exactly 32 of them will have this allergy? Please write your answer as a decimal, precise to at least four decimal places. Maggie is practicing her penalty kicks for her upcoming soccer game. During the practice, she attempts 10 penalty kicks. If each attempt at the penalty kick is independent of the other attempts and if she scores 70% of the time, historically, what is the probability that she scores at least eight goals? Give your answer as a percentage precise to two decimal places. I:]% Imagine that Alina's shower leaks and she calls the plumber. The plumber tells her that the problem is caused by either a leaky drain or a cracked shower pan, but never both. He also tells her that, in his experience, a leaky drain is the cause of the problem in about 90% of cases. If he discovers that the drain is the problem, he can x it for $250. If he discovers that the shower pan is the problem, he must charge $2500 instead. What is the expected value of the repair price? Please round your answer to the nearest whole dollar. $ Suppose that x represents the number of cars sold at a dealership in a randomly selected single day. The probability distribution of x is given in the table below. x 4 5 6 7 8 9 10 p(x) 0.04 0.09 0.17 0.29 0.20 0.14 0.07 If you Wish, you can click to download the data in your preferred format. CrunchIt! CSV Excel J MP Mac Text Minitab PC Text R SPSS TI Calc What is the mean number of cars, y, sold per day at the dealership? Give your answer in decimal form precise to two decimal places. Suppose Kristen is researching failures in the restaurant business. In the city Where she lives, the probability that an independent restaurant will fail in the rst year is 49%. She obtains a random sample of 62 independent restaurants that opened in her city more than one year ago and determines if each one had closed Within a year. What are the mean and standard deviation of the number of restaurants that failed within a year? Please give your answers precise to two decimal places. Suppose Martin is a very talented used-car salesman. Whenever Martin talks to a new customer, there is a 70% chance that he convinces the customer to purchase one of his used cars. Brian, Martin's boss, is envious that Martin sells many more cars than he does. Because of his jealousy, Brian institutes a new rule that Martin is only allowed to talk to 35 customers per day. Thus, Martin continues to work each day until he speaks to 35 customers, at which point Brian sends him home. Let X represent the number of used cars that Martin sells on a given day. What are the mean, ,u, and variance, 0'2, of X? Please round your answers to the nearest two decimal places. Let X be a discrete random variable with values equal to the number of weeks until relapse among a population of twenty-one leukemia patients. The data provided contain the twelve distinct values of X along with the proportion of patients whose relapse period is expressed by each value of X. Click to download the data in your preferred format. CrunchIt! CSV Excel IMP Mac Text Minitab PC Text R SPSS TI-Calc Use software to nd the variance 0'2 of X. For help using software, please refer to this list of software manuals. Report your answer to two decimal places. Suppose that Professor Rodgers needs one small group of students from his class to participate in a focus group. There are 12 students in the class. How many different combinations of three selected students can Professor Rodgers create? If Professor Rodgers decides he needs two students in the focus group, how many combinations can he create