7. The probability mass function (PMF) is expressed as PMF = P(X = k) = - k(k +1) म्कग ,k =1,2,..,0 %3D What value of C will make this a valid PMF?

Q: 2) Let the joint probability function of X & Y be defined by Pxx (x, y) = x= 1,2 y = 1,2,3 Find…

A: The joint probability mass function of x and y is, P(x,y)=x+y21;x=1,2 and y=1,2,3 x=1, y=1…

Q: A random variable X has the probability density function 1 1 f(x) = n x2 + 1' then the probability…

A: Here we've to find, P(1/3<X2<1) We can write it, P(√1/3<X<1)

Q: Suppose there is a random variable X whose probability density function has the form (shown in…

A:

Q: If the probability of occurrence of an event (probability of success) in a single trial of a…

A:

Q: What is the definition of the entropy H(X) of a probability space (X, p)

A:

Q: A random variable W has range RW = {1, 2, 3, . . . } and the probability mass function given by…

A: The provided information is as follows:The  is a random variable having a range .The probability…

Q: Is f(x) a legitimate probability mass function? (1 – p)"='p =p+ (1 – p)p + (1 – p)²p+ • …· ² 1 x=1

A: We know that to be a legitimate mass function we must have 0≤f(x)≤1 for all x.  And the sum of all…

Q: (f)|Let X be a discrete random variable taking values {r1, #2; ..., Ln} with probability {p1. P2, -…

A: As per guidelines we will only answer first question: f)  We have to maximise the entropy: maxP…

Q: Suppose that an item has a hazard rate function X(t) = 2.4t², t> 0. What is the probability that (a)…

A:

Q: The lifetimes X and Y (in years) of two machine components have joint probability density (5 – x –…

A:

Q: "Show that each function defined as follows is a probability density function on the given interval;…

A: The probability density function is given by : fx=20x+202 ; 0≤x<∞ As we know that Pa≤X≤b=∫abfxdx…

Q: A random variable X has a probability mass function f(x) =)),x=1,2,3. The probability of X ≤ 1may be…

A: the probability mass function of random variable X isf(x)=8712x , x=1,2,3

Q: 12. Let X be a normal random variable with mean 678 and standard deviation 8.85. Let Q₁ the…

A:

Q: If X and Y are random variables and X is a geometric random variable where p = 0.1 then what is

A: Given information: X is a geometric random variable with p=0.1. Y=sinπX Y=

Q: 2 The function p₂ (x) can be used to model the service life of Product A. (i) Using definite…

A:

Q: family runs a robotic vacuum cleaner over a period of one year, is given as 0 < x < 1, f(x) = {2 –…

A: Solution

Q: Is f(r) a legitimate probability mass function? E(1- p)*-'p =p+ (1 – p)p+ (1 – p)°p+ • … 2 1 r=1

A: To be a legitimate probability mass function we must have all the probability between 0 and 1.And…

Q: A random variable W has range RW = {1, 2, 3, . . . } and the probability mass function given by…

A: P(W=k)=1k2kln(2);k=1,2,3...,Objective:Find the expected value of W:Concept Used : Geometric series:…

Q: Let X be a discrete random variable taking values {x1, x2, . . . , xn} with probability {p1, p2, . .…

A: Probability Mass Function :- If X is a One-dimensional discrete random variable taking at most a…

Q: Let R have probability mass function (pmf) p(r)=1/8 for r=1,2,...,8. Fin (1)the cumulative…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Let X² ~ x² (1, µ²) and X₁ ~ N (₁,7). Find: (a) the probability distribution function (pdf) and…

A: In this problem, we are dealing with chi-squared random variables, specifically  and  and their…

Q: A random variable X takes values 1,2,3,. . with probability mass function r! r= 1, 2, 3, . .o. Find…

A:

Q: Let f(x,0)= ex, the likelihood function is Select one: a. i= 1 O b. L(e) = In (ex-1) C. L(e) = In…

A:

Q: Show that k = O Show that the cumulative distribution function is |y² F(y) = 12 (y² + 2) ) 0 2.…

A: To find the value of k, we will use the fact that ∫-∞∞fydy=1 The cumulative distribution function is…

Q: Suppose that a worker value jobs by both the wage rate and the workplace collegiality. The woker’s…

A: *Answer:

Q: Let p(x) = cx^2 for the integers 1, 2, and 3 and 0 otherwise. What value must c be in order for p(x)…

A: Solution: From the given information, the probability mass function of X is

Q: Is f(x) a legitimate probability mass function? 1- p)*-1p = p+(1 – p)p + (1 – p)°p +. 1 %3D x=1

A: We know that to be a legitimate mass function we must have 0≤f(x)≤1 for all x.  And the sum of all…

Q: The probability that there will be at most 2 men with high blood pressure is २ P(X < 2) = ≥ P(X=X) :…

A: 5.The provided information is n=6p=0.15P(X=x)=(Cxn)*px*(1-p)n-x…

Q: The probability density function for the continuous random variable X is given by: (A(x² – 2x + 21)…

A: Farmula used. V(X)=E(X2)-[E(X)]2 Sd(X)=√Var(X)

Q: The joint probability density function (pdf) of the random variables X and Y is (x+2y), 0sx, ys1…

A:

Q: 2) Let the joint probability function of X & Y be defined by Pxy(x, y) = Find E(Y|X = 2). What is…

A: First we will create the joint probability distribution table for every value of x and y using the…

Q: The time, in 100 hours, that a student uses her game console over a year is a random variable X with…

A: Step 1:Step 2:Step 3:Step 4:Final Answer (a). 77.667(b). 1492.955

Q: 6 A continuous random variable T (in years) of the lifespan of a device has the foll probability…

A: Provided information is, a continuous random variable T (in years) of the lifespan of device has…

Q: P(Y'|D') =D (s

A: HERE use given Contingency table and baye's Rule

Q: Define the cumulative probability Pc(x): 1 dy. Pc(x) = 27 %3D

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: 2) Let X & Y have the joint probability function f(x,y) = cx²y, -y ≤ x ≤ 1,0 ≤ y ≤ 1. i) Find c such…

A: Let X and Y have the joint probability function  f(x,y)=cx2y ; -y≤x≤1, 0≤y≤1  0    ; otherwise

Q: Martian potatoes begin to sprout very quickly after planting. Suppose X is the number of days after…

A: g)   From the given information, the probability density function for X is,

Q: Prof that' For a fixed B with P(B) > 0, P(A l B) is probability function.

A: Answer...