QNT 275 Week 4 :My StatLab Solution Guide

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Solution is in the PDF Formate and it is solved Sample and Guide you How to Answer the Questions. 

 

  1. Each of the scatterplots below shows a sequence of observations. The​ x-axis enumerates the sequence. For which cases does the law of large numbers apply to probabilities based on these​ observations?
  2. A Web site recorded whether visitors click on a shown ad. The following plot shows the outcomes for a sequence of 100​ visitors, with a 1 shown if the visitor clicked on the ad and a 0 otherwise. Complete parts​ (a) and​ (b) below.
  3. ​It's time for an advertising firm to renew its contract with a client. The advertising firm wants the client to increase the amount it spends to advertise. If the firm proposes to continue the current​ contract, there's aa 50​% chance that the client will accept the proposal. To increase the business will require a second proposal that has a 70​% chance of approval.​ Alternatively, the advertising firm can begin the negotiations by proposing an elaborate advertising campaign. If it takes this​ approach, there's a 40​% chance that the client will approve the expanded proposal without needing a second proposal. Which approach should the advertising firm take if it wants to grow the​ business? Identify any assumptions​ you've made.
  4. A survey found that 6767​% of callers complain about the service they receive from a call center. State the assumptions and determine the probability of each event described below.
    1. ​(a) The next three consecutive callers complain about the service.
    2. ​(b) The next two callers​ complain, but not the third.
    3. ​(c) Two out of the next three calls produce a complaint.
    4. ​(d) None of the next 10 calls produces a complaint.
  5. A​ fast-food chain randomly attaches coupons for prizes to the packages used to serve french fries. Most of the coupons say​ "Play again," but a few are winners. Of the​ coupons, 5353 percent pay​ nothing, with the rest evenly divided between​ "Win a free order of​ fries" and​ "Win a free​ sundae." Complete parts​ (a) through​ (c) below.
  6. Eighty percent of service calls regarding kitchen appliances involve a minor repair. For​ example, the customer did not read the instructions correctly or perhaps failed to connect the appliance correctly. These service calls cost ​$75. Service calls for major repairs are more expensive. Forty percent of service calls for major repairs cost the customer ​$150 or more. What is the probability that a randomly selected service call costs ​$150 or​ more?
  7. A box of 13 parts contains 5 that are defective. A worker picks parts one at a time and attempts to install them. Find the probability of each outcome in​ (a) through​ (d).
  8. Josh is flying from city A to city C with a connection in city B. The probability his first flight arrives on time is 0.150.15. If the flight is on​ time, the probability that his luggage will make the connecting flight is 0.85​, but if the flight is​ delayed, the probability that the luggage will make it is only 0.65. In either​ case, Josh makes the flight.
    Complete parts​ (a) and​ (b).
  9. The weekly salary paid to employees of a small company that supplies​ part-time laborers averages ​$750 with a standard deviation of ​$350.
    1. ​(a) If the weekly salaries are normally​ distributed, estimate the fraction of employees that make more than ​$400 per week.
    2. ​(b) If every employee receives a​ year-end bonus that adds ​$100 to the paycheck in the final​ week, how does this change the normal model for that​ week?
    3. ​(c) If every employee receives a 5​% salary increase for the next​ year, how does the normal model​ change?
    4. ​(d) If the lowest salary is ​$400 and the median salary is ​$575​, does a normal model appear​ appropriate?
  10. A contractor built 30 similar homes in a suburban development. The homes have comparable size and​ amenities, but each has been sold with features that customize the​ appearance, landscape, and interior. The contractor expects the homes to sell for about ​$400,000. He expects that​ one-third of the homes will sell either for less than ​$325,000 or more than ​$475,000.
    1. ​(a) Would a normal model be appropriate to describe the distribution of sale​ prices?
    2. ​(b) What data would help you decide if a normal model is​ appropriate? (You cannot use the prices of these 30​ homes; the model is to describe the prices of​ as-yet unsold​ homes.)
    3. ​(c) What normal model has properties that are consistent with the intuition of the​ contractor?

 

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