Problem 2.When someone presses SEND on a cellular phone, the phone attempts to set up a call bytransmitting a SETUP message to a nearby base station. The phone waits for a response, and ifnone arrives within 0.3 seconds, it tries again. If it doesn't get a response after n= 4 tries, thephone stops transmitting messages and generates a busy signal.(a) Draw a tree diagram that describes the call setup procedure.(b) If all transmissions are independent and the probability that a SETUP message will getthrough is p, what is the PMF of K, the number of messages transmitted in a call attempt?(c) As a manager of a cellular phone system, you want the probability of a busy signal to beless than 0.01. If p = 0.8, what is the minimum value of n necessary to achieve that goal?(d) Find and sketch the CDF of N, the number of attempts made by the cellular phone for p=1/3

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Answered: Problem 2. When someone presses SEND on…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CR: Chapter Review

Problem 71E

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Question # 1 Suppose that a store sells six varieties of soft drinks: cola, ginger ale, orange, root beer, lemonade, andcream soda. Use a tree diagram to determine the numberof different types of bottles the store must stock to have all varieties available in all size bottles if all varietiesare available in 12-ounce bottles, all but lemonade are available in 20-ounce bottles, only cola andginger ale are available in 32-ounce bottles, and all butlemonade and cream soda are available in 64-ouncebottles?
Problem 2. Last year, in a sample of 1200 randomly selected consumers who had opportunities to send in a rebate claim form after purchasing a product A, there are 300 of these people said they never did. This year, if a consumer sends in a rebate claim form, he will get 5 reward points. Observe 1000 randomly selected consumers who had opportunities to send in a rebate claim form after purchasing a product A this year, 200 of these people said they never did. a/ Does this data strongly suggest that the true proportion of such consumers who never apply for a rebate claim after purchasing the product A last year is greater than this year? Test the hypotheses at significance level 0.05 b/ Calculate an lower confidence bound at the 97% confidence level for the true proportion of such consumers who never apply for a rebate claim after purchasing the product A this year
Draw a tree diagram for each of the following experiments. a) Suppose a lecturer selects two students as a class representative and an assistant. State the combination of females and/or males selected as the representative and the assistant if there are 2 males and 3 females in the class.
A certain company sends 50% of its overnight mail parcels via express mail service E1. Of theseparcels, 1% arrive after the guaranteed delivery time (denote the event late delivery by L). Supposethat 10% of the overnight parcels are sent via express mail service E2 and the remaining 40% are sentvia E3. Of those sent via E2 only 2% arrive late, whereas 5% of the parcels handled by E3 arrive late.a. Draw a tree diagram for this problem.b. If a record of an overnight mailing is randomly selected from the company’s file, what is theprobability that the parcel went via E2 and was late?c. What is the probability that a randomly selected parcel arrived on time?d. If a randomly selected parcel has arrived late, what is the probability that is was not sent via E1?
A certain company sends 50% of its overnight mail parcels via express mail service E1. Of theseparcels, 1% arrive after the guaranteed delivery time (denote the event late delivery by L). Supposethat 10% of the overnight parcels are sent via express mail service E2 and the remaining 40% are sentvia E3. Of those sent via E2 only 2% arrive late, whereas 5% of the parcels handled by E3 arrive late.a. Draw a tree diagram for this problem.b. If a record of an overnight mailing is randomly selected from the company’s file, what is theprobability that the parcel went via E2 and was late?c. What is the probability that a randomly selected parcel arrived on time?d. If a randomly selected parcel has arrived late, what is the probability that is was not sent via E1? part c and d please
Problem 13-21 (Algorithmic) A real estate investor has the opportunity to purchase land currently zoned residential. If the county board approves a request to rezone the property as commercial within the next year, the investor will be able to lease the land to a large discount firm that wants to open a new store on the property. However, if the zoning change is not approved, the investor will have to sell the property at a loss. Profits (in thousands of dollars) are shown in the following payoff table: State of Nature Rezoning Approved Rezoning Not Approved Decision Alternative S1 S2 Purchase, d1 610 -190 Do not purchase, d2 0 0 If the probability that the rezoning will be approved is 0.5, what decision is recommended?Recommended decision = What is the expected profit?Expected profit = $ fill in the blank 2 thousands. The investor can purchase an option to buy the land. Under the option, the investor maintains the rights to purchase the land anytime during…
Problem 3: A group of doctors is considering the construction of a private clinic. IF the medical demand is high (favorable market for the clinic), the physicians could realize a profit of P1,000,000. If the market is not favorable they could lose P400,000. If they don’t proceed at all, there is no cost. In the absence of any market research, the best the physician can guess is that there is a 50-50 chance the clinic will be successful. Required: Construct a decision tree to help analyze this problem. What should the doctors do?
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Lost on the last three subplots
The dependencies between the 10 activities listed in the table above are as follows:• The project starts with two activities—A, and B—which can be done concurrently.• When activity A is finished, activity C can start• When activity B is finished, activities D and E can start• When both activities C and D are finished, activity F can start• When activity E is finished, activity G can start• When activity F is finished, activity H can start• When both activities G and H are finished, activity I can start• When activity G is finished, activity J can start• The project is complete when activities I and J are finished Questions1. Organize the information above in an activity precedence table showing the activity, precedent and duration (calculated using the PERT weighted average formula and round to the nearest integer).2. Draw an AON network diagram and calculate its early start, early finish, late start and late finish times, floats (Free and total) for each activity. Make sure you…

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