If m || n and nlp, then nlm. m || p. mlp. n || p.

Q: 1. If N = 12, k = 8, and n = 5. Find P(2). %3D

A: X follows a hypergeometric distribution with N=12, K=8 and n=5 and k=2 We will use the formula:…

Q: Suppose P(A) P= 0.3, P(B) = 0.4 and P(A ∩ B) = 0.12. Which of the following is Correct? A) P(A U B)…

A: The probabilities of the events are given as follows:

Q: (a) Show that if n € N, then n+1 In dx. I

A:

Q: Integrate: / 82

A: Given integration is : ∫8x3lnxdx  To find the value of integration.

Q: Rrove the other distributive oddi tion Geed t property of (+d) A= cA+ d A

A: Distributive property of addition is given by . It is used in case where terms inside the…

Q: If N={1,2,3), then (xlxEN< ? }

A: Given :- N = {1,2,3} Then {x | x ∈ N &lt; ?} Here , N &lt; 4 So, {x | x ∈ N &lt; 4}

Q: : Jhat is he nodies onuegence

A:

Q: 1. Let A CU and B C U. Suppose |A n B| = 8, |A| = 10, |B| = 15 and |U| 20. Determine %3D %3D |P(P(AU…

A:

Q: 0-2 1 -2 0 0 0 duced echelon form of the augmented matrix [A b] i 1 (a) Express the general solution…

A:

Q: Reject Ho if |z| > N

A: We know that  Null hypothesis H0. Alternative hypothesis H1.

Q: 1. Let n E N. Prove that n and nº have the same last digit.

A: See the attachment

Q: 8. 8) Evaluate s k=1

A:

Q: 0.39, -Compute the pmf of Y.

A: Let's the events be,The corresponding probabilities are,Let Y be the number of days beyond Wednesday…

Q: 9. Let X Bin(4,.30), compute a. P(X=0) b. P(X= 1) C. P(X= 4)

A: Given that  Success of probability p=0.3 , q=1-p=0.7 Number of trials n=4 X~binomial (n,p)…

Q: 4. Let A

A: Given,                A=1, 2, a, b, ϕ

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.