Question

In: Statistics and Probability

Alice wants to sell her Pokemon card collection on eBay. She decides to accept the first...

Alice wants to sell her Pokemon card collection on eBay. She decides to accept the first bid that exceeds 100$. Suppose that each bid that she receives is chosen uniformly at random between 0$ and 110$ (the bids are continuous, i.e., real numbers in that interval). Let X be the number of bids Alice receives (once she accepts a bid, the auction is over and she does not receive any more bids).

(a)Is X discrete, continuous, or neither?

(b)Find the expectation of X.

Solutions

Expert Solution

a) X is continous. Because X follows uniform distribution.

b) Expected value of X = (110 + 0) / 2 = 55

                                                                                                                                                                                       


Related Solutions

wants to get rid of her stock. She offers to sell it to her friend. The...
wants to get rid of her stock. She offers to sell it to her friend. The stock will not pay dividend for the next 5 years.  After year 5, the stock will pay a dividend of $3, and dividend is expected to grow at 30% in year 6, 30% in year 7, and thereafter, the stock will grow at 5%.  If the risk free is 7%, the market risk premium is 8% and a beta of 1.25.  What is the current stock price?  
Suppose that Mairin has knit a collection of wool‑blend infinity scarves that she wants to sell...
Suppose that Mairin has knit a collection of wool‑blend infinity scarves that she wants to sell in her Etsy shop for $28.00 each. However, she is worried that if the average price of comparable scarves is less than $28.00, hers would be less likely to sell. Mairin selected a random sample of 9 similar hand‑knit, wool‑blend infinity scarves, and their prices are as follows. $21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00$21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00 Use a left‑tailed one‑sample ?t‑test to determine whether the average price of hand‑knit, wool‑blend infinity...
Kimberly has just started her first job and decides to begin saving for a car. She...
Kimberly has just started her first job and decides to begin saving for a car. She opens a savings account on October 31, 2003 with a deposit of $160, and will continue to make deposits of the same amount at the end of each month until October 31, 2006, when she will make the final deposit. If the account pays 9% interest rate compounded monthly, how much is in the account on October 31, 2009, (when Kimberly will use this...
2. Feaheny offered to sell Quinn her house. She made an offer to sell on an...
2. Feaheny offered to sell Quinn her house. She made an offer to sell on an installment payment basis but also asked Quinn to make a cash offer. Quinn made a cash offer which Feaheny rejected. Quinn then accepted the installment payment basis. Feaheny refused to perform the con- tract, and Quinn sued her. Was she liable for breach of contract? 3. The Great A. & P. Tea Co. rented a store from Geary. On February 25 the company wrote...
Kate has just completed her first year running Kates's Card. She has been preparing monthly income...
Kate has just completed her first year running Kates's Card. She has been preparing monthly income statements and balance sheets, so she knows that her company has been profitable and that there is cash in the bank. She has not, however, prepared a statement of cash flows. Kate provides you with the year-end income statement and balance sheet and asks that you prepare a statement of cash flows for Kate's Cards. Additional Information: 1. There were no disposals of equipment...
Alice lacks confidence in learning on her own. She loves to interact with others. Matt loves...
Alice lacks confidence in learning on her own. She loves to interact with others. Matt loves to work on his own. He does not like others to mess with his thoughts and plans. He hates reading and just makes things up on his own. Indra just wants to read quietly and does this quite well. She is shy to face others. Suggest how would you develop a technology training session for them as a class for approx 2 hours?
Denise has her heart set on being a millionaire. She decides that at the end of...
Denise has her heart set on being a millionaire. She decides that at the end of every year she will put away $8,000 into her “I want to be a millionaire account” at he local bank. She expects to earn 6% annually on her account. How many years must Denise faithfully put away her money to succeed at becoming a millionaire? You will receive $3,000 a year, for fifteen years at an opportunity cost of 6%. What is the PVAF?...
Let’s say that a seller has a house she wants to sell for $150,000. She asks...
Let’s say that a seller has a house she wants to sell for $150,000. She asks the real estate agent to list it for sale at $160,000, but tells the agent not to entertain any bid below $140,000. An interested buyer, who can afford a mortgage at current rates if the total price is below $145,000 (his limit), looks at the house and likes it enough to put in an offer of $138,000. This situation could be characterized as: Group...
Nancy is reviewing her November credit card statement. Her beginning balance was ​$605 and she made...
Nancy is reviewing her November credit card statement. Her beginning balance was ​$605 and she made a ​$250 payment on November 10. She made purchases of ​$80 on November​ 5, ​$110 on Novemeber​ 15, and ​$50 on November 30. Her APR is 12​% and the interest was charged using the average daily balance​ method, including current​ purchases, which considers the day of a charge or credit.
Sam advertises to sell cookies for $4 a dozen. She sells 50 dozen, and decides that she can charge more.
Sam advertises to sell cookies for $4 a dozen. She sells 50 dozen, and decides that she can charge more. She raises the price to $6 a dozen and sells 40 dozen. What is the elasticity of demand? Assuming that the elasticity of demand is constant, how many would she sell if the price were $10 a box?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT