7) Suppose Z is the standard normal distribution. a) find P(Z<2) b) Find P(|Z|<2) c) find P(|Z|>2)
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- Let X be a random variable with Normal distribution, mean = 16, sd = 2. Find the value of x such that P(X > x) = 0.05. a) 0.520 b) 12.710 c) 1.645 d) −1.645 e) 19.290 f) None of the above10 - The average of the continuous random variable is normally distributed as 40, the standard deviation being 10. So what is the probability of P (3036) The time X needed to complete a final examination in a particular College Course is normally distributed with a mean of 60 minutes and standard deviatation of 10 minutes. The Probability of completing The exam in less than 70 minutes. is A) 0.9655. B)0, 1387 C) 0.8413 D) 0.0345Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)What is the probability that a randomly selected customer will take more than 3 minutes to check out their groceries? What is P(X>3)? Round to the nearest tenths/first decimal place, 0.xF distribution is symmetrica) Trueb) Falsepoisson distributiona) Mean b) Binomial DistributionD5) X and Y are two points that are selected according to a uniform distribution. Calculate the expected value of the distance between these two points for each of the following cases: a) Both X and Y are selected independently from the range 0-1. b) We select X between 0 and 1 and then select Y between 0 and X. Note: For case b the distance is equal to |Y-X|26 - The random variable Z has a standard normal distribution. Which of the following is the z value such that P(Z<z)=0.1379? a) 1.09 B) -0.05 NS) -2.11 D) -1.09 TO) 2.11x has continuous random variable is nomally distributed and average 40, standard deviation 10. So what is the probability of P (30Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON