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Good Evening, I need awnsers to these questions please. 1.) Part 1? Following is the probability distribution of a random variable that represents the number

Good Evening, I need awnsers to these questions please.

1.) Part 1?

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Following is the probability distribution of a random variable that represents the number of extracurricular activities a college freshman participates in. 1'0 1234 13(1) ' 0.07 0.13 0.45 022 0.13 SenddalatnEmel (a) Find the probability that a student participates in exactly one activity. The probability that a student participates in exactly one activity is [:1. Relax! A recent survey asked 1679 people how many hours per day they were able to relax. The results are presented in the following table. Number of Hours Frequency 116 185 W NEC 337 253 317 230 149 31 61 Total 1679 Send data to Excel Consider these 1679 people to be a population. Let X be the number of hours of relaxation for a person sampled at random from this population. Part 1 of 5 (a) Construct the probability distribution of X. Round the answer to three decimal places. X 0 2 3 5 6 8 P(x)Part 2 of 5 (b) Find the probability that a person relaxes more than 5 hours per day. The probability that a person relaxes more than 5 hours per day is .(Round the answer to three decimal places.) Part 3 of 5 (c) Find the probability that a person doesn't relax at all. The probability that a person doesn't relax at all is .( Round the answer to three decimal places.) Part 4 of 5 (d) Compute the mean u . Round the answer to two decimal places. My = Part 5 of 5 (e) Compute the standard deviation o.. Round the answer to three decimal places.A binomial experiment has the given number of trials n and the given success probability p. n = 4. p = 0.8 Part: 0 / 3 Part 1 of 3 (a) Determine the probability P (2). Round the answer to at least three decimal places. P (2) =A binomial experiment has the given number of trials n and the given success probability p. n = 13, p = 0.2 Part: 0 / 3 Part 1 of 3 (a) Determine the probability P(2 or fewer). Round the answer to at least four decimal places. P (2 or fewer) =Take a guess: A student takes a multiplechoice test that has 10 questions. Each question has four choices. The student guesses randomly at each answer. LetX be the number of questions answered correctly. Round the answers to at least four decimal places. (a)P(4) = E]

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