The owner of Tastee Cookies needs to decide whether to lease a small, medium, or large new retail outlet. She estimates that monthly profits will vary with demand for her cookies as follows:  SIZE OFOUTLET DEMAND LOW HIGH Small $ 1,000     1,000   Medium   500     2,500   Large   0     3,000      For what range of probability that demand will be high, will she decide to lease the medium facility?

A pizza delivery service delivers to a campus dormitory. Delivery times follow a normal distribution with a mean of 20 minutes and a standard deviation of 4 minutes.a. What is the probability that a delivery will take between 15 and 25 minutes?b. The service does not charge for the pizza if delivery takes more than 30 minutes. What is the probability of getting a free pizza from a single order?c. During final exams, a student plans to order pizza five consecutive evenings. Assume that these delivery times are independent of each other. What is the probability that the student will get at least one free pizza?d. Find the shortest range of times that includes 40% of all deliveries from this service.e. For a single delivery, state in which of the following ranges (expressed in minutes) the delivery time is most likely to lie.18-20, 19-21, 20-22, 21-23f. For a single delivery, state in which of the following ranges (expressed in minutes) the delivery time is least likely to lie.18-20,…

3. A salesman who frequently drives from Muscat to Sohar finds that his driving time is a random variable having roughly a normal distribution with mean 4.3 hours and standard deviation 0.2 hour. Find the probabilities that such a trip will take a. more than 4.0 hours, b. less than 5.0 hours. C. Between 3.5 and 5.5 hours

Industry standards suggest that 12 percent of new vehicles require warranty service within the first year. University Toyota in Morgantown, WV sold 10 Toyotas yesterday. What is the probability that exactly one of these vehicles will require warranty service?

Consider an investment that pays off $700 or $1,600 per $1,000 invested with equal probability. Suppose you have $1,000 but are willing to borrow to increase your expected return. What would happen to the expected value and standard deviation of the investment if you borrowed an additional $1,000 and invested a total of $2,000? What if you borrowed $2,000 to invest a total of $3,000? Instructions: Fill in the table below to answer the questions above. Enter your responses as whole numbers and enter percentage values as percentages not decimals (.e., 20% not 0.20). Enter a negative sign (-) to indicate a negative number if necessary. Invest $1,000 Invest $2,000 Invest $3,000 Expected Value Percent Increase Standard Deviation 1150 S 28 % $ 8 % $ Expected Return N/A Doubled Tripled : #

The time taken to complete a bicycle race is normally distributed, with anaverage time (μ) of 2.25 hours and a standard deviation (σ) of 0.65 hours.What is the probability that a randomly selected cyclist will: Q.7.3.1 Take between 2.75 and 3.15 hours to complete the race? Interpretyour answer. Q.7.3.2 Take between 2.05 and 2.15 hours to complete the race? Interpretyour answer.

A university found that 30% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course a. Compute the probability that 2 or fewer will withdraw (to 4 decimals). b. Compute the probability that exactly 4 will withdraw (to 4 decimals). c. Compute the probability that more than 3 will withdraw (to 4 decimals). d. Compute the expected number of withdrawals.

The number of hits per day on the Web site of a tool company is normally distributed with a mean of 600 and a standard deviation of 120. a. What proportion of days have more than 750 hits? b. What proportion of days have between 660 and 750 hits? c. Find the number of hits such that only 10% of the days will have the number of hits below this number. Click the icon to view the standard normal table of the cumulative distribution function. ... a. The proportion of days with more than 750 hits is (Round to four decimal places as needed.) b. The proportion of days with between 660 and 750 hits is (Round to four decimal places as needed.) c. Only 10% of the days will have less than hits. (Round to one decimal place as needed.)

The injured football player Bad news everyone! There is 1 second left in the game, and Tom Brady has injured himself. The matrices below depict the relative probabilities of winning givenan offensive and a defensive play call. (The row player is the New England Patriots and the column player is the opponent.) How much has the all star's home team probability of winning decreased due to the injury? Pass uny Patriots D Pass .4, .6 D Run .9,.1 .8,.2 .5,.5 Pass Run Opponent D Pass D Run .06, .94 .32, .68 .8,.2 .5,.5