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- An airline studied the data from their passenger records and noted that their customers turn up only about 95% of the time. A flight can accommodate 40 passengers and each seat costs 4,000 Php. Suppose each passenger books a ticket independently and the airline decides to sell 42 tickets for the flight. 1. Let X be the number of passengers that turn up for the flight. Give the PDF for X.Express the confidence interval (0.071,0.163) in the form of p-ELet X be a continuous random variable with PDF (2e*,0 /3).Indicate True or False for the following statements: (a) A random (RP) process is a time varying random variable - True or False (b) A random (RP) process is a randomly chosen function of time - True or False (c) A stationary RP depends on time - True or False (d) The mean of a stationary RP depends on time - True or False (e) The autocorrelation of a stationary RP depends on time – True or False (f) The PSD of a WSS random process is always nonnegative and even – True or False (g) White noise is realizable in practice – True or FalseThe 4-dimensional random vector X has PDF fX(x)={1 when 0≤xi≤1, i=1,2,3,4 and 0 otherwise}. Are the for components of X independent random variables?Please write each step.Find the mean and standard deviation for each uniform continuous model U(1, 13) U(70, 200) U(3, 92)X and Y are independent and identically distributed random variables with X - Exp(A). (a) Determine the PDF of Z = X + Y. (b) the probability that Z is less than 0.5 away from its expected value. Use Chebyshev's Inequality to determine a bound (in terms of ) onLet X be a random variable with discrete pdf f(x) = x/8 if x = 1, 2, 5, and zero otherwise. Find: (a) E(X).Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON