a) P(A) = Σ = KEA 2k n(n + 1) Π(1-3). k b) P(A) = Π ΚΕΑ

Q: Consider the continuous function defined by y = 2 on -0.05 ≤ x ≤0.2. -0.1 -0.05 3.6- 3.2 2.8 2.4+ 2…

A: Given function is :We have to find the area under the function and check whether it is a PDF

Q: (g) Let X be a random variable on a closed and bounded interval [a, b] whose CDF is continuous. Let…

A: Jensen Inequality - Statement - Let x be a random variable on a closed and bounded interval [ a ,b ]…

Q: ke A* b.) A random variable X takes all positive integral values with P(X = x) 3D x! x 1,2,3,.. and…

A: Given: b. X is a discrete random variable that takes values 1 , 2 , 3.... with positive constants k…

Q: If u (E) =0, then E is measurable.

A:

Q: Exercise 3 Let (Ek) De a countable collection of measurable sets such that the measure m (UE) is…

A:

Q: Let a, b, c e R with a < b < c. Suppose that f is uniformly continuous on [a, b] as well as on [b,…

A:

Q: Find the value of c guaranteed by the Mean Value Theorem of intergrals... Given (x) = on [1,e?]

A:

Q: hind the cumulative dishibution function (Cdp) of the distance- Of two randomly chosen points of the…

A: Given that,  Randomly choosen point [0,3] We

Q: Let t and g are measurable functions , then f-g is measurable function. صواب İhi

A: Let f be an extended real valued function defined on a measurable set E.Then f is said to be…

Q: effyda, R Evaluate where R is bounded by r=2-cose

A: We have to solve the given problem by changing to polar coordinates.

Q: Which one of the following intervals is not symmetric about x= 5? a. (1,10) b. (4,6) с. (3,7) d.…

A: Solution: The objective is to determine which one of the following intervals is not symmetric about…

Q: Example 16: (H.W) Let X be a r.v. with F distribution. If X-F(5,10), find the value of b such that…

A:

Q: Which interval notation describes the set S= {x | 1s x < 10}? 1. [1,10] 2. (1,10] 3. [1,10) 4.…

A:

Q: snhu thudent login - Search Home B3 Chailenge Activities Means X zy Section B.1 - MAT 240: Applied S…

A:

Q: 5. Let g be a nonnegative function which is integrable over a set E. Show that for given e > 0 there…

A: Let g be a nonnegative function which is integrable over a set E.

Q: Let f be the function given by f(x)=x'. Find all values of c that satisfy the conclusion of the Mean…

A:

Q: Poove 4 is an upper bound of f2,4) also poove sup (2,4)= 4

A: To prove that 4 is an upper bound of (2,4) and Sup (2,4)=4. Definition:1 Upper bound : Let S is a…

Q: H.W2: Analog signal is inserted to the input of PCM transmitter system, the sampler output is…

A: Since you have posted a question with multiple subparts, we will solve first three sub parts for…

Q: Non-parametric tests focus on:   a. The median of the data   b. The average of the data c.…

A:

Q: please help me in mathmatical statistic note : joint F is C.D.F   find the M.l.E

A: # Given : random variable X follow Pareto distribution (theta1, theta2)  then to find maximum…

Q: Let (X, Y) be a random vector with the pdf ƒ(x,y) = 6−(²+0)133 (x,y) = { e−(67) e¯(x+y), (x,y) = R²…

A:

Q: Please do not give solution in image format thanku For a continuous random variable, X, the real…

A: A continuous variable takes uncountable infinite numbers that is it can take any real number.Here,…

Q: Let f be a measurable function ,then |f| is measurable .

A: Statement is correct see the step 2

Q: Median Class Interval 0-9 10 - 19 20-29 30-39 40 - 49 fi 6 4 8 5 7 n = < CF

A: Given data is  Class Interval fi &lt;CF 0-9 6   10-19 4   20-29 8   30-39 5   40-49 7…

Q: Pls help ASAP

A: Option E [(iii) only] is true.

Q: Let f: [a, b] → R be absolutely continuous and let Tƒ be its total variance. Then T₁₁ f+ = T₁+f₁ f =…

A: As per the question, we aim to establish the properties of non-decreasingness and absolute…

Q: resity that the hy potheses af the mean value theorem are Sati/sfied on bhe given in terva L r and…

A: f(x) = x2+2,   x≤13x,        x&gt;1     on [0, 2]For MVT function should be continuous and…

Q: Let a 0, THEN f(b) > f(a).

A: Given f satisfies the hypotheses of the mean value theorm let f be a function defined on [ a,b ]

Q: The proportion of flour, X, that Penny forgets to put into a pie crust, X, has the following…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Q4: Let A, B, C be fuzzy sets in X, and take the probability Prove that (x)VH 5 (x)#rt 5 (x)³rt An…

A: We need to show that  A∩(BUC)=(A∩B)U(A∩C) To prove this we will just show that  A∩(BUC)⊆ (A∩B)U(A∩C)…

Q: 11) If X be ar.v. from exponential distribution S(x) = ie¯ A>0, x20 Then the moment generating…

A: Given r.v from exponential distribution

Q: Define a sequence {E;} where En = r -,r| where n is positive integer. Find P({r}) for any r E [0,1]

A: Given- A sequence Ei where En=r-rn,r , where n is positive integer. and, Plimn→∞En=limn→∞P(En) To…