


please answer all and show working This is the whole question 2. (50 pts) Now, referring...
(2 points) Consider a random variable X that takes the values 0, 50, 100, 150, and 200, each with probability 0.2. Let Y = |X − 100| be the (absolute) deviation of X from its average value 100. Compute the probability mass function (PMF) and cumulative distribution function (CDF) of Y . Explain.
Table of the most usual probability distribution functions of maintenance processes Create a table of the most usual probability mass functions (pmf) or probability distribution functions (pdf) (for discrete or continuous random variables) and their features that are mostly applied in Maintenance and Reliability. The columns should contain the following information: pmf or pdf, range of the variable, the cumulative distribution function (CDF), parameters, range of parameters, mean value, standard deviation or variance. Draw the table landscape The table is...
1. It can take up to four days to get your computer repaired. The prob- ability of the number of days D it takes to repair has the following probability distribution: Po(d) 0.2,0.5,0.2,0.1, for d 1,2,3,4, respectively. The cost C for the service varies according to D, i.e. C(d) 80, 70, 40, 30, for d 1,2, 3, 4, respectively. Answer the follow- ing questions: (a) (15 pts) Plot the cumulative distribution function (CDF) of D, FD(x), and mark the critical...
Please answer the question clearly
1. Find the probability distribution (PMF) of Y, denoted by f(y), where Y is the absolute differ- ence between the number of heads and the number of tails obtained in four tosses of a balanced coin 2. Determine whether the function f(x) is a valid probability distribution (PMF) for a random variable with the range r - 0,1,2,3, 4. r2 f()30 3. Suppose X is a random variable with probability distribution (PMF) given by f(x)...
Please answer me clearly so I can read well
BSP2014 Tutorial 2 1. Check whether the given function can serve as the probability mass function(p.m.f.) of a random variable 2forx-1,2, 3,4, 5 ii) Ax)for-0,1,2, 3,4 2. A random variable X has the following probability distribution. 0.1 2k 0.3 i)Find k ii)Evaluate PX2 and P-2X2) iii) Find the CDF of X 3. If X has the cumulative distribution function, CDF Fix) = I/2 , 1 xc3 x25 Find a) PXS 3)...
Formulas
1.) (5 pt.) At a grocery store customers in the checkout line may use a credit card. The probability they will use a credit card is 80%. There are four customers in a line. Let X be the random variable (R.V.) denoting the number of customers out of the four who use a credit card. Determine the probability mass function (pmf) for X and use it to construct both graphically and numerically the cumulative distribution function (CDF) for X....
#1 please and the
answer should be in the form of a piecewise function
(2n 1)2nn! 2 V2T n=0 Since this is an alternating series (because the parity on the power on x means that will always have the same sign as r), then we can always use the estimates on alternating series which are quite strong to compute values of this sum Problems 1.)Find the probability density function for the random variable representing picking a random real number between...
#5 please
2. Find the probability distribution function for the random variable representing picking a random real number between -1 and 1. (This is a piecewise defined function.) 3. Compute the mean of the random variable with density function if x>0 ed f(r) = if r < 0. 0 4. Compute the mean of the random variable with density function 2e (1 - cos x) if x >0 if r<O. f (x) = 5 Compute the variance and standard deviation...
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. The number of minutes that a flight from Phoenix to Tucson is late is a random variable, X with probability density (PDF) given by 21s(36-2.2), 0, _6 < x < 6 otherwise where negative values indicate the flight was early and positive values indicate the flight was late a) Find the distribution function (CDF) for X b) Find the probability that one of these flights will be at least1 nute late. 5. The distribution...
Please answer from a-d
Problem 2. Let X be a random variable with one of the following cumulative distribution function. 1.2 1,2 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.0 0.0 -1.0 -0.5 0.0 0.5 1.0 1.5 2,0 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 X X Pick the correct cumulative distribution function plot and answer questions: Page 2 of 9 Write down the probability mass function and What is the PMF of X? A. Poisson (3...