If a point x is taken at random on the interval [0, 2a] and all the points are equally likely to be taken, the probability that the product x(2a - x) > /is (b) / (c) // (d)/2

Q: Suppose Var(X) = 96, and a = .45. What is Var(aX)?

A: The objective of this question is to find the variance of the random variable aX, given the variance…

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A:

Q: The table below is to be valid probability distribution for a data set. P(x) 3 0.07 0.34 6. 11 0.3…

A: Here from the given discrete distribution we need to find the missing value of P(6).

Q: Let x be the number of teachers among 3 people selected randomly from a group  consisting of 3…

A: Probability: Probability is the ratio of favourable outcomes to all other potential outcomes of an…

Q: What if the big-O of the following function? f(x) = 2 + 3 + 4 + ... + (n-1) OO (nlogn) OO (n-1) OO…

A: The function appears to be summing up a sequence of consecutive integers starting from 2 and going…

Q: Find the difference quotient for f(x) = 4x² - 2x + 7

A: Consider the function fx=4x2-2x+7. The objective is to find the difference quotient for the given…

Q: Suppose Var(X) = 83, and a = .57. What is Var(aX)?

A: The objective of this question is to find the variance of a random variable that has been scaled by…

Q: Let flx)=x² and! gix)-Xr4. Find (gof)は) (fog)l-5)= (gof)(-5)= こくい(6。)

A: We have to find fog(x) ,gof(x)

Q: Let fix)= 2x-3 and gix)=x?+4x-4 . Evaluate: f(-3)= gt2)= f(a-2):

A: Given: f(x)=2x-3g(x)=x2+4x-4

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Q: Let fé)--을(t)6. Eveluate f(-8) %3D f68)= ? %31

A:

Q: X- (X)NI X 13g Tol tuods JadW (q )

A: Topic:- derivatives

Q: Show that E( X - K )2 = var( X) + [E(X) - K]2

A: var(X)=E(X2)-E(X)2 E(a)=a  where a is constant (a-b)2=a2-2ab+b2

Q: p(+) = + = Find P (Q(+) P(Q(r) Q (t)=1 ++1

A:

Q: Evaluate 7x 11 √(x - - − 1)(x – 3) - - - dx

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Q: Ž ( – 1)"x" 1+x

A: Given the power series

Q: Use v=<3/5, 4/5>, w= <-4/5, 3/5> to find v.w and proj w(v)

A: Given thatv = <3/5, 4/5> and w = <-4/5, 3/5>To find:wprojwV