A realtor has 25 similar properties to sell. Each month, the number she sells is binomially distributed with parameters n=number remaining to be sold and p=0.05. Let N be the number of months it takes to sell all 25 properties. By convention, let N=101 if at least one property is still not sold after 100 months. After running a simulation with at least 5,000 replications, what is the most realistic conclusion about N?   a. The probability that N is greater than 40 is around 0.89.     b. The probability that N equals 101 is around 0.14.     c. The probability that N is greater than 50 is around 0.77.     d. The probability that N is less than 75 is around 0.69.

Researchers have shown that the num-ber of successive dry days that occur after a rainstorm for particular regions of Catalonia, Spain, is a random variable thatis distributed exponentially with a mean of 8 days. Source:International Journal of Climatology.a. Find the probability that 10 or more successive dry daysoccur after a rainstorm.b. Find the probability that fewer than 2 dry days occur aftera rainstorm.

Mr Alsup asked the studentS in his third-and sixth-period English classes whether they had chosen a topic for thier writing assignment. he recorded the data in a two-way table, as shown below English class   Yes  No  Total Third period 24 6 30 Sixth period  22 3 25 Total 46 9 55   if jannette in in mr alsup sixth-period english class what is the probablity that she has not chosen a topic for her writing assignment? a- 3% b- 5% c- 12% d-14%

A platter contains 48 doughnuts: 26 cake, 13 glazed, and nine jelly-filled. Suppose two doughnuts are randomly selected in succession without replacement. Find the probability (to 4 decimal places) of selecting two cake doughnuts. A. 0.0691 B. 0.2881 C. 0.2934 D. 0.5417

Use the following scenario to answer the next 6 questions: M&Ms are your favorite vending machine snack and you purchase them often.  Lately, it seems like the bags have been having a disproportionate distribution of the colors.  The company claims that 24% of the candies per bag should be blue.  You decide to test this claim for yourself.  You purchase a large bag and find that 38 of the 224 candies are blue.  Before complaining to the company, you want to be fairly sure of your accusation, so you set a 1% significance level for your test.  Do you have sufficient evidence that the color distribution is different than advertised? Based on the data, the value of the test statistic is:

Last school year, the student body of a local university consisted of 20% freshmen, 21% sophomores, 29% juniors, and 30% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class. Freshmen 84 Sophomores 65 Juniors 86 Seniors 65 We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.If the distribution is the same as the previous year, the expected number of freshmen is _____.   a. 84     b. 87     c. 60     d. 20

If there are 65 successes of 150 trials in the one group, and 115 successes of 200 in another, test if the groups significantly different? Use ? = 0.05.

Suppose that Mary, Gary, and Larry have been asked to randomly sample 100 patients' visit records from a file of 2000 patient records and record the amount of time the attending physician spent with each patient. Gary suggests the time of year during which the patient was seen may be a confounding variable and strongly advises dividing the year into quarters (Jan - Mar, Apr-Jun, Jul-Sep, Oct- Dec) and randomly selecting 25 patient records from each quarter. Which of the following best describes Gary's sampling plan? (A) A simple random sample (B) A systematic random sample (C) A stratified random sample (D) A cluster sample (E) A convenience sample