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Game of dice - fair dice: If I throw a number >= 5 I win. If he throws a number =< 4 he wins. I throw the first dice. Given that he loses(throws a number >4) what is the probability of me winning ? What is the expected number of throws before either of us wins?
For $16 you can may play a game of chance: Draw a random number from 1 to 6 from a hat. You square the number you roll and you win that much cash. What is the expected value of such a game (take into account the cost to play)?
What are the steps to solve a and b?
In a lottery, you bet on a s digit number between 0 0000 and 11 11 For a S1 bet, you win S 700 000 you are correct. The mean and Standard de ation of the probability distribution or he ottery nings are μ 07 hat cents and σ = 700.00. Joan figures that if she plays enough times every day, eventually she will strike it rich, by the aw of...
dn (a) Show that L[i" f(t)] = (-1)" (t) for any positive integer n 2 1 dsn a d K(s, t)f(t) dt / ) est = tne-8t and assume that K(s, t)f(t) dt. Hint: (-1)" as ds (b) Use the above formula to compute L[t? cost].
dn (a) Show that L[i" f(t)] = (-1)" (t) for any positive integer n 2 1 dsn a d K(s, t)f(t) dt / ) est = tne-8t and assume that K(s, t)f(t) dt. Hint:...
1. Suppose t hat Xhas t he chi-square distribution on p1∈(0, ∞) degrees of f reedom and that, i ndependently, Y has t he chi-square distribution on p2∈(0, p1) degrees of f ree-dom. a. Use moment generating functions to find the distribution of X + Y . b. A naive guess might be that the distribution of X − Y is chi-square on p1− p2 degrees of freedom. Prove that such a guess is wrong by demonstrating that P (X...
1. Suppose t hat Xhas t he chi-square distribution on p1∈(0, ∞) degrees of f reedom and that, i ndependently, Y has t he chi-square distribution on p2∈(0, p1) degrees of f ree-dom. a. Use moment generating functions to find the distribution of X + Y . b. A naive guess might be that the distribution of X − Y is chi-square on p1− p2 degrees of freedom. Prove that such a guess is wrong by demonstrating that P (X...
answer 1,2,3,4 thank you.
HW4.5: Problem 1 Previous Problem Problem List Next Problem 1 point) Evaluate each of the integrals (here &(t) is the Dirac delta function) (60-3)dt (2)cos(3t)S(t -2) dt- (3)/eTst cos(4t)(t - 3) dt - c0 sin()(t - 5) dt-
HW4.5: Problem 1 Previous Problem Problem List Next Problem 1 point) Evaluate each of the integrals (here &(t) is the Dirac delta function) (60-3)dt (2)cos(3t)S(t -2) dt- (3)/eTst cos(4t)(t - 3) dt - c0 sin()(t - 5) dt-
2. Second-order Butterworth CT and DT filters. (a) [5 pts] Given that He (s)- (s+e4(steJr/4 and that the corresponding fiter is causal, verify that He(0) 1. that Hc (jw) decreases monotonically with increasing positive values of u. that I He (j) | 2-1/2 (i.e., that wc-1 is the half-power frequency), and that (b) [3 pts] Give an expression for Hd(z), the bilinear transform applied to Hc(s) in part a. Choose T - 2 in the bilinear-transform formula, ie., (1- z1/(1z1)-(z...
nl hat i noud BIOS242, Week S, Lab 1 Name: Questions: 1. You are a nurse educator training novice nurse trainees the importance of hand washing in clinical setting. Why is it important to have proper hand washing technique? You are a nurse teaching the general population the importance of hand washing. Why is it important to have proper hand washing technique? 2. Exercise 2: Food safety-Effectiveness of washing produce Draw your observations of bacterial growth:
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