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Calls Number (x) 30 31 32 33 34 Probability (P(x) .OS 21 38 .25 11 The number of calls received per day at a crisis hotline is distributed as follows: Find the mean and standard deviation of the distributionIf 80% of the applicants on a driver's exam are able to pass a driver's proficiency road test, find the mean, variance, and standard deviation of the number of people who pass the test in a sample of 300 applicants.A study shows that smartphones made by a certain manufacturer had a failure rate of 43%. Four smartphones are selected at random. What is the probability that the 4th smartphone is the first one that fails?On average, 3 traffic accidents per month occur at a certain intersection. What is the probability that in any given month at this intersection (a) exactly 4 accidents will occur?The probability that Samantha will be accepted by the college of her choice and obtain a scholarship is .35. If the probability that she is accepted by the college is .65, find the probability that she will obtain a scholarship given that she is accepted by the college.You are purchasing a new car. The possible manufacturers, car sizes, and colors are listed in the table. Manufacturer Car size Color Ford compact white (W) GM midsize red (R) Honda black (B) green (G) How many different ways can you select one manufacturer, ore car size, and one color? Use a tree diagram to check your result.Rotator cuff surgery has a 90% chance of success. The surgery is performed on 10 patients. Find the probability of the surgery being successful on exactly 5 patients.Determine whether each experiment is a binomial experiment or can be reduced to a binomial experiment. If so, describe a trial, determine the random variable, and state n, p , and q. 1. A study finds that 58% of people have pets. You ask 100 people how many pets they have. 2. A poll found that 72% of students plan on going to the homecoming dance. You ask 30 students if they are going to the homecoming dance.A survey found that 17% of U.S adults say that Google News is a major source of news for them source. You randomly select four adults and ask them whether Google News is a major source of news for them source. Find the probability that a) Find the probability that exactly two of them respond yes b) Find the probability that at least 2 of them respond yes c) Find the probability that less than 2 respond yesIn certain high risk groups the chance of a patient suffering a heart attack is 55%. If 6 people are chosen at random find the probability that at least one will have had a heart attack