Solution is in the PDF Formate and it is solved Sample and Guide you How to Answer the Questions.
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?
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.
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.
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.
(a) The next three consecutive callers complain about the service.
(b) The next two callers complain, but not the third.
(c) Two out of the next three calls produce a complaint.
(d) None of the next 10 calls produces a complaint.
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.
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?
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).
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).
The weekly salary paid to employees of a small company that supplies part-time laborers averages $750 with a standard deviation of $350.
(a) If the weekly salaries are normally distributed, estimate the fraction of employees that make more than $400 per week.
(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?
(c) If every employee receives a 5% salary increase for the next year, how does the normal model change?
(d) If the lowest salary is $400 and the median salary is $575, does a normal model appear appropriate?
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.
(a) Would a normal model be appropriate to describe the distribution of sale prices?
(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.)
(c) What normal model has properties that are consistent with the intuition of the contractor?