A S1 bet in a state lottery's Pick 3 game pays $500 if the three-digit number you choose exactly matches the winning number, which is drawn at random. Here is the distribution of the payoff X 1. $500 0.001 Payoff X Probability 0.999 Each day's drawing is independent of other drawings. You must show your work in answering the following questions What are the mean and standard deviation of X? a. b. Joe buys a Pick 3 ticket twice a week. What does the law of large numbers say about the average payoff Joe receives from his bets? What does the central limit the orem say about the distribution of Joe's average payoff after 104 bets in a year? c. Joe comes out ahead for the year if his average payoff is greater than $1(the amount he spent each day on a ticket). What is the probability that Joe ends the year head? d.

Q: 5. In the real world there are many situations in which some quantity depends on a variable which at…

A: We have given  Radius r(t) = 3t  Area A(r) = πr2  Find the area  1) when t= 2 minutes  2) when t= 5…

Q: find az ond dz.

A:

Q: 3) y2 5x +1

A: In this problem first we find the solution of the given problem and then we plot the given line…

Q: Please find value of ID with steps

A: Consider ID=12[1-3-1.5ID(-3)]2⇒ID=12-3-3+1.5ID(-3)2⇒ID=129[-6+1.5ID]2 ⇒3 ID=4[36+2.25 ID2-18ID]⇒3…

Q: it is incorrect. please help me with a new answer

A: (c)Given

Q: Solve for r. 9. 10 3.

A:

Q: dx -5 V4 x

A:

Q: Please do problem 2. Thank you!

A:

Q: can you check up the answer? it is not right

A: I have rechecked the work using calculator. It is correct.  Using calculator I have got: limn→∞…

Q: A clinical trial is conducted to compare a new pain re- liever for arthritis to a placebo.…

A: Given Information: A clinical trial is conducted to compare a new pain - reliever for arthritis to a…

Q: only one answer is correct

A:

Q: out

A:

Q: Solve for x. x 6 4 3 x 0 = 132 4 5 - 4

A: We will solve the determinant in terms of X and then equate it to 132.

Q: Find (i) the characteristic equation and (ii) the eigenvalues and corresponding - 3 5 eigenvectors…

A: Since you have posted multiple questions, we answered the first question for you. If you want any…

Q: y = exlnx

A:

Q: Clarify step 2

A: Given Information: Sample size n=1032Sample proportion pˆ=73%=0.73Margin of error E=3.9%=0.039

Q: Number #86?

A:

Q: and

A:

Q: Let à = (-4, 2, -1) and b = (5, 0, -1). Find a . b.

A:

Q: Please help me with #2 and #3, too. I will give rate for both

A: Question No. (2):To find the inverse Laplace transform.Note:  Since, the student has has mentioned…

Q: Solve for A. 5 -2 A 1 -2 A =

A:

Q: A number consists of two-digits. The digit at the units place is 3 times the digit at the tens…

A: Let the number has tens place=x so unit place=3x  So the number is of the form 10x+3x=13x

Q: Le d 0,

A: Formula Used: L∫0tf(v)dv=F(s)sL{t-1/2}=πsL{eat f(t)}=F(s-a)

Q: please answer fully on paper and make sure its correct please i keep getting different answers

A: