Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
You are offered the following game to play: a fair coin is tossed until heads turns up for the first time (see Example 6.3). If this occurs on the first toss you receive 2 dollars, if it occurs on the second toss you receive 22 = 4 dollars and, in general, if heads turns up for the first time on the nth toss you receive 2n dollars.
(a) Show that the expected value of your winnings does not exist (i.e., is given by a divergent sum) for this game. Does this mean that this game is favorable no matter how much you pay to play it?
(b) Assume that you only receive 210 dollars if any number greater than or equal to ten tosses are required to obtain the first head. Show that your expected value for this modified game is finite and find its value.
(c) Assume that you pay 10 dollars for each play of the original game. Write a program to simulate 100 plays of the game and see how you do.
(d) Now assume that the utility of n dollars is √n. Write an expression for the expected utility of the payment, and show that this expression has a finite value. Estimate this value. Repeat this exercise for the case that the utility function is log(n).
the following is the heart rate for 10 randomly selected patients on the unit. find the mean variance and standard
The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles.
compute the standard error of the estimate for the data below. round to the thousandths place.x 21 22 23 24 25 26y
a randomized trial is conducted to evaluate the efficacy of a new cholesterol lowering medication. the primary outcome
q1. what is probability of observing 61325 when rolling fair dice?probabilities for fair dice p1p2p3p4p5p616q2. what is
consider two independent random variables xsub1 and xsub2 having the same cauchy distributionfx1pie1x2 for negative
Some of these items are not up to quality specifications and have to be thrown out. At this rate, how many mistakes can be made while maintaining an acceptable success rate?
a student encounters an animal embryo at the eight-cell stage. the four smaller cells that comprise one hemisphere of
suppose iq score were obtained from a randomly selected siblings.for such 20 pairs of people the linear corelation is
Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides.
Find out whether this is enough evidence to accept or reject manager's null hypothesis, using alpha = .01. Is this test left-tailed, right-tailed or two-tailed?
Find a 95% confidence interval for the mean monthly rent for unfurnished one-bedroom apartments available for rent in this community.
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd