-, P(T|R) P(RT) 9 Consider two events R and T. Find- 1)P(R' UT) = ? = 3 2/7,P( ,P(ROT) = 116 8

Q: 2K रिहा K2 =n(AI) (2n71) 6

A: I have proved it by mathematical induction.For details please see the explanation.If you have any…

Q: dp dq 2 if p = In(q7 + 7). Find dp dq ||

A: Simply use the chain rule of derivative and simplify.

Q: let k be a random variable that takes with equal prob 1/(2n+1), the values in integer the interval…

A: Let X be a random variable that takes on integer values in the interval [-n, n] with equal…

Q: For two events, M and N, P(M)=0.4, P(N|M) = 0.7, and P(N|M')=0.2. Find P(MIN'). P(MIN') = (Simplify…

A: For two events M  and N, the given probabilities are as follows, P(M)=0.4P(N|M)=0.7P(N|M')=0.2 Since…

Q: 62. Let X₁, i = 1, 2, ... be independent random variables all distributed according to the pdf fx…

A: The pdf is given as,A random variable is also defined here.The objective is to compute the variance…

Q: 5.84 6. V (AXB)=B-(VxA)-A (V x B)

A: To find the given product :-

Q: how would you calculate a-d of question 2?

A: We will calculate one by one in the following manner from the given data:

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

A:

Q: Let x1, X2. ... , Xn d N(4, 62), where HE R and o> 0 are unknown parameters. Consider the sample…

A: Given Xi follows normal distribution and given the formula of sample variance- s2=1n-1 ∑i=1nxi-x¯n2…

Q: 10. sample Let X Let X₁, X2, Xn be a random from a uniform population U(0,1). ¹x₂ i=1 be the sample…

A: Here X1,X2,...,Xn is a random sample from U(θ,1) population. Let X~U(a=θ,b=1). The population mean…

Q: Let M and N be two independent events such that P(M) = 1/3 and P(N) = 1/4. Find P(M/N')

A:

Q: (1) VL1, L2 (L1 L2 iff L₁* = L₂"). True

A: False. The statement is not true in general.

Q: Just B please

A: In each hypothesis test, the chance of error of two types. They are type 1 and type 2 error. Type 1…

Q: (4-.1.P)an (4-t,t,) and V(t) = (3, t,

A: The given curves are ut=4-t2, t, t2 , vt=3, t2 , t . Let vt=vs →3, s2 , s . Comparing  the…

Q: 29.- Let X1, X, be a random sample from the population with distribution N(0, 1). Obtain the…

A: We know, X1 and X2 follow normal distribution  X1,X2~N0,1 And Y1 and Y2 are order statistics.…

Q: Let 6 -2 3 -5 A = -2 and B = 2 -3 (a) Find AB, A-1, and B-1. 14 -24 AB = -4 7 1/2 A-1 %3D 1 3 -3 B-1…

A: We use the general rule for the inverse of a 2×2 matrix and multiplication of matrices to answer the…

Q: There are two ways of moving from point X to point Y and two ways of moving from point Y to point Z.…

A: It is an important part of statistics. It is widely used.

Q: It is easy to calculate the covariance of X₁ and X₁+7. We get 7(T) = cov(X₁, Xt+T)= (1+0+02)0² (01…

A:

Q: Let X4, . X, denote a random sample from a geometric population with parameter p. .... f(x1, x2,*,…

A:

Q: A random variable X is uniformly distributed on the interval (-5, 15). Another random variable Y =…

A:

Q: 1. A random sample of n = 20 products are taken from the production lines of a factory. Let = 1,...,…

A: The defined no. of defective samples is: T=∑i=120Xi. And the claim under H0 if T≤4.

Q: A random walk (RW) {Sn}n>o is a sum of id r.v.s X1, X2, •• , Xn,withP(X1 = a) = p, P(X1 = b) = 1…

A: Step 1:GivenSn​=∑1n​Xi​,n=1,2.....P(X1​=a)=p,P(X1​=b)=1−p=qStep 2:To calculate…

Q: - 7t? - 6t + 2' 7t² –1'3t³ + 7 7 7t Let r(t) = Find r'(t) F'(t)

A:

Q: Exercise 4. (a) x² (5.7) ~ Gamma(?,?), (b) x²(8) ~ Gamma(?,?), (c) - Gamma(4, 3) ~ x² (?)

A: To find:  (a) x² (5.7) ~ Gamma(?,?) (b) x²(8) ~ Gamma(?,?) (c) } Gamma(4,3) ~ x²(?)