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

Q: 4. Which one of the following is the value for J_1 x xdx (A) 0 (В) 4 (С) —1 (D) 1 (E) 3 (F) none of…

A:

Q: d) P(-1< Z <1.8)

A: d) P(-1&lt; Z &lt;1.8)

Q: Suppose P(A and B) = x, P(BlA) = y, and P(B) = z. What is P(A or B)?

A: According to the given information in this question We need to find the following probability

Q: Suppose PEL(V) and P2 = P. Prove that V = null(P) ☺ range(P)

A: V=null(P)⨁range(P)Explanation:

Q: Let v = [1] and let z = [¹] x The Projx is equal to k k [21] where

A: Our objective is given below:

Q: Suppose that x is N(15,4). Find the P(X>11).

A: The random variable X follows normal distribution. The population mean is 15. The population…

Q: . Show that p(X) = XP-1 +... +X +1 when p is prime.

A: For every integer n≥1, the nth cyclotomic polynomial Φn is the monic polynomial whose complex roots…

Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: II. Evaluate the following. 1. z = ji

A: Given: z=jj

Q: 4. Suppose that P(A)=0.7 and P(B)= 0.5, and P([AUBY) =0.1. Find a) P(AOB) b) P(A| B) c) P(B|A)

A: Given data,P(A)=0.7P(B)=0.5P(A∪B)' =0.1P(A∪B)=1-P(A∪B)'=1-0.1=0.9

Q: verify that (AT )T = A

A:

Q: suppose that X~N (3, oʻ), AP (3<X<6) =0.4, then P(X20)= A.0.4 B.0.9 C.0.6 D.0.1

A: We have to find given probability.

Q: Suppose A and B are independent and mutually exclusive. P(A) = 3/10. Can you determine P(B)?

A: GivenA and B are independent and mutually exclusive eventsP(A)=310

Q: Hou have a price d n found that if set certain itenn you to buy Sd t40 will be able of these Atems…

A: Given: If the price is set to d, then 5d+40 of the items can be bought. And -7d+200 can be sold. To…

Q: Find the expected value for the random variable: E(X) = || x 1 3 5 6 P(X) 0.24 0.13 0.19 0.44

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: suppose that X~N (2, oʻ), AP (2<X<4) =0.3, then P(X<0)= A.0.3 B.0.2 C.0.8 D.0.1

A: