What are the probabilities of the six simple events

Reference no: EM131010390

Suppose that a six-sided die is "loaded" so that any particular even-numbered face is twice as likely to be observed as any particular odd-numbered face.

a. What are the probabilities of the six simple events? (Hint: Denote these events by O1,..., O6. Then P(O1) = p, P(O2) = 2p, P(O3) = p,..., P(O6) = 2p. Now use a condition on the sum of these probabilities to determine p.)

b. What is the probability that the number showing is an odd number? at most 3?

c. Now suppose that the die is loaded so that the probability of any particular simple event is proportional to the number showing on the corresponding upturned face; that is, P(O1) = c, P(O2) = 2c, . . . , P(O6) = 6c. What are the probabilities of the six simple events? Calculate the probabilities of Part (b) for this die.

Reference no: EM131010390

Questions Cloud

Summarize chapters - identifying target customers : Read and summarize Chapters 4- Identifying target customers: (Segmentation and targeting Analysis), Chapter 5-Creating Customer Value: (Developing a value proposition and Positing) Please read the assigned chapters carefully and thoroughly. Ident..

Implementation of the binomial market model : Use appropriate current Treasury bill data to determine a continuously compounded interest rate suitable to price June options. Note: You need to indicated your sources of data and document your procedure.

What is the rate of return on your investment : Use the following quotes for JC Penney stock options: Picture Picture Assume you purchased the right to sell 4,400 shares of JC Penney stock in January 2013 at a strike price of $25 per share. Suppose the stock sells for $23.82 per share immediately ..

What the benefit of a property manager is : After reviewing Chapter 15, "Managing Commercial Real Estate," explain what the benefit of a property manager is and whether you would solicit this type of assistance. describe your logic.

What are the probabilities of the six simple events : Now suppose that the die is loaded so that the probability of any particular simple event is proportional to the number showing on the corresponding upturned face; that is, P(O1) = c, P(O2) = 2c, . . . , P(O6) = 6c. What are the probabilities of t..

Employees participate in self-insurance : 1. Newsweek (November 23, 1992) reported that 40% of all U.S. employees participate in "self-insurance" health plans (p = .40).

If a portfolio of the two assets has an expected return : A stock has a beta of 1.2 and an expected return of 11.8 percent. A risk free asset currently earns 3.8 percent. What is the expected return on a portfolio that's equally invested in the two assets? If a portfolio of the two assets has a beta of .8, ..

Identify and explain key concepts constructs : Read and summarize Chapters 8-Managing Products and Services, Chapter9- Managing Brands and Chapter 12-Managing Communication. Please read the assigned chapters carefully and thoroughly. Identify and explain key concepts, constructs, and phrases d..

Demonstrate a good comprehension of enlightenment worldview : Write an essay (1,000-1,250 words) that demonstrates a good comprehension of the enlightenment worldview and how it became a threat to orthodoxy.

User Account

All Pages