(c) Based on the histogram below, which of the followingdistributions; Bernoulli; discrete uniform; continuous uniform;normal or exponential distribution is the most likely distributionfor the random variable Z?Frequency609Histogram of Z(d) Considering the histogram given in part (b) and the additionalinformation that all values for the random variable Y are strictlypositive, give and clearly justify a transformation which could bemade to the data for this variable Y which would make thetransformed data more normally distributed. Susan collects data on three random variables, X, Y, and Z. She plotshistograms of her data to help her decide which probability distributionis likely to be most suitable for each of these three random variables.(a) Based on the histogram below, which of the followingdistributions; Bernoulli; discrete uniform; continuous uniform;normal or exponential distribution is the most likely distributionfor the random variable X?Abuanbaug250Frequency200150100(b) Based on the histogram below, which of the followingdistributions; Bernoulli; discrete uniform; continuous uniform orexponential distribution is the most likely distribution for therandom variable Y?120-100Histogram of X20Histogram of Y

We will attempt only first 3 parts as per guidelines of Bartleby.

Answered: (c) Based on the histogram below, which…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.0 minutes and standard deviation of 1.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n¡ = 47 customers in the first line and n2 = 49 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X1 and the mean service time for the longer one X2 is more than 0.6 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i
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Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 2.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 46 customers in the first line and n₂ = 52 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.3 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = !
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(c) Based on the histogram below, which of the following distributions; Bernoulli; discrete uniform; continuous uniform; normal or exponential distribution is the most likely distribution for the random variable Z? Aanbay Histogram of Z 2N 1