FIN312: In Dice Game, you must run across a 140m

In Dice Game, you must run across a 140m bridge before it collapses. You are given two 6- sided dices with these numbers on their faces:

-8, -7, 1, 2, 7, 8 on the first dice
-7, -2, 1, 3, 7, 7 on the second dice

At every move, you throw the two dice simultaneously to obtain a score of X which is the product of the top faces of the two dice. You are then required to run forward X meters across the bridge. If unfortunately, X is negative, you need to run backward X meters.

You can only make 3 moves before the bridge collapses.

For example, if you throw (8, 7), (2, -2) and (-7, -7), you will have run a total of 101m (since 8 x 7 + 2 x (-2) + (-7) x (-7) = 56 – 4 + 49 = 101). Sadly, this means you will still be on the bridge when it collapses.

You are not allowed to import any packages in this question unless stated otherwise.

(a) List the unique scores X you can get per move in ascending order.

(b) Code a function pmf(x) that returns P(X = x). Compute to 6 decimal places the values
P(X = -21)
P(X = -14)
P(X = 14)
P(X = 50)

(c) Code a function cdf(x) that returns P(X x). Compute to 6 significant figuresthe values
P(X -21)
P(X < -14)
P(X
P(X < 50)

(d) What is the probability of you crossing the bridge successfully? Explain your reasoning clearly. Give your answer correct to 6 significant figures.

(e) Draw and label the step graphs of pmf(x) and cdf(x) for an integer x such that – x matplotlib.pyplot.

• WE OFFER THE BEST CUSTOM PAPER WRITING SERVICES. WE HAVE DONE THIS QUESTION BEFORE, WE CAN ALSO DO IT FOR YOU.
• Assignment status: Already Solved By Our Experts
• (USA, AUS, UK & CA PhD. Writers)
• CLICK HERE TO GET A PROFESSIONAL WRITER TO WORK ON THIS PAPER AND OTHER SIMILAR PAPERS, GET A NON PLAGIARIZED PAPER FROM OUR EXPERTS

QUALITY: 100% ORIGINAL PAPER – NO PLAGIARISM – CUSTOM PAPER

Why Choose Us?

How It Works

• Click on the “Place Your Order” tab at the top menu or “Order Now” icon at the bottom and a new page will appear with an order form to be filled.
• Fill in your paper’s requirements in the “PAPER DETAILS” section.
• Fill in your paper’s academic level, deadline, and the required number of pages from the drop-down menus.
• Click “CREATE ACCOUNT & SIGN IN” to enter your registration details and get an account with us for record-keeping and then, click on “PROCEED TO CHECKOUT” at the bottom of the page.
• From there, the payment sections will show, follow the guided payment process and your order will be available for our writing team to work on it.

About AcademicWritersBay.com

AcademicWritersBay.com is an easy-to-use and reliable service that is ready to assist you with your papers 24/7/ 365days a year. 99% of our customers are happy with their papers. Our team is efficient and will always tackle your essay needs comprehensively assuring you of excellent results. Feel free to ask them anything concerning your essay demands or Order.

AcademicWritersBay.com is a private company that offers academic support and assistance to students at all levels. Our mission is to provide proficient and high quality academic services to our highly esteemed clients. AcademicWritersBay.com is equipped with competent and proficient writers to tackle all types of your academic needs, and provide you with excellent results. Most of our writers are holders of master’s degrees or PhDs, which is an surety of excellent results to our clients. We provide assistance to students all over the world.
We provide high quality term papers, research papers, essays, proposals, theses and many others. At AcademicWritersBay.com, you can be sure of excellent grades in your assignments and final exams.