2. Let Ei ⊂ S for i ∈ {1, 2, . . . , n}. Find an expression for P(∪ n i=1Ei) and apply it to find the probability that when 5 people place cards face down on a table and mix them and re-select a card, none selects his or her own card. 2. Let E, c S for i є {1, 2, .. . ,n). Find an expression for P(UL1B) and apply it to find the probability that...
1.A fair six-sided die is rolled. {1, 2, 3, 4, 5, 6} Let event A = the outcome is greater than 4. Let event B = the outcome is an even number. Find P(A|B). A.0 B.1/3 C.2/3 C.3/3 2.A student stays at home. Let event N = the student watches Netflix. Let event Y = the student watches the very educational youtube videos made by her/his instructor.Suppose P(N) = 0.1, P(Y) = 0.8, and P(N and Y) = 0. Are N and...
I am just curious about this question... please can you answer with applying indent and space clearly. Furthermore, can you make answer shortly as possible..? This is a python question Question 6.34 The two-player card game war is played with a standard deck of 52 cards. A shuffled deck is evenly split among the two players who keep their decks face-down. The game consists of battles until one of the players runs out of cards. In a battle, each player...
8) Let x є { 1, 2, 3, 4, 5, 6} be the outcome of throwing a fair dice. We place two equal weights on the sides 5 and 6 and for our probability law we have the relation P5 or 6)-3P 1 or x-2 or x 3 or x-4) Compute P(z-j) for j є { 1, 2, 3, 4, 5, 6, }
1) One card is chosen randomly from Box 1, & one from Box 2: Box 1 A A B C C Determine the probability that the two chosen cards match a).24 b).32 36 d)44 e).50 Box2 A B B C C 2) The glove compartment of Sally's car contains 12 jazz CD's: 5 Cool, 3 Bebop & 4 Smooth. She reaches in & selects5 at random to play during her trip to Chicago. Determine the probability that she selects 2...
Suppose you have 3 cards: 1. A red card is red on both sides. 2. A blue card is blue on both sides. 3. A mixed card is red on one side and blue on the other. You gather the cards and toss them into a hat. You then select one randomly from the hat and place it on the table. Given that the side facing up is blue, what is the probability that the other side is also a...
Problem 3: Let xi be given n mutually orthogonal vectors in Rn, and 20 є Rn be also given. Find: (a) the distance di from Zo to Hi-{x E Rn : XTXǐ (b) the distance sk from ro to n1Hi, 1 <k< n (c) the distance mk from a'0 to ngk+1H,, 1-K n (d) calculate sk + mk 0) Problem 3: Let xi be given n mutually orthogonal vectors in Rn, and 20 є Rn be also given. Find: (a)...
4. Let Z1, Z2,... be a sequence of independent standard normal random variables. De- fine Xo 0 and n=0, 1 , 2, . . . . TL: n+1 , The stochastic process Xn,n 0, 1,2,3 is a Markov chain, but with a continuous state space. (a) Find EXn and Var(X). (b) Give probability distribution of Xn (c) Find limn oo P(X, > є) for any e> 0. (d) Simulate two realisations of the Markov process from n = 0 until...
BSP2014 Tutorial]1 1) Let P(A)-0.4 and P(AuB)-0.6 i) For what value of P(B) are if A and B mutually exclusitve? ii) For what value of P(B) are if A and B independent? 2) There are total of 400 Beta students registered in Financial Engineering for Cyberjaya and Melaka campus. The table below represents the tabulation of students according to their gender and c ampus. MelakaIL) Cyberjaya(C)Total 180 60 Male(M) Total 140 400 If a student is selected randomly, find the...
e (4 marks) Let m be an integer with the property that m 2 2. Consider that X1, X2,.. ., Xm are independent Binomial(n,p) random variables, where n is known and p is unknown. Note that p E (0,1). Write down the expression of the likelihood function We assume that min(x1, . . . ,xm) 〈 n and max(x1, . . . ,xm) 〉 0 5 marks) Find , and give all possible solutions to the equation dL dL -...