Each time a component is tested, the trial is a success (S) or failure (F). Suppose the component is tested repeatedly until a success occurs on three consecutive trials. Let Y denote the number of trials necessary to achieve this. List all outcomes corresponding to the five smallest possible values of Y. (Enter your answers in set notation.)   what is the answer for Y=7.    I have {SFFFSSS,SSFFSSS,FFFFSSS,FSSFSSS,FSFFSSS. Are there more?

A study was conducted to test the effectiveness of a juggling class. Before the class started, six subjects juggled as many balls as they could at once. After the class, the same six subjects juggled as many balls as they could. The results are as follows. Student A B C D E F Before 3 4 3 4 5 After 4 5 6 4 7 a. Test whether the class is effective at increasing the number of balls they were able to juggle. Use a= 0.01 b. Construct a 99% confidence interval for the mean of the differences.

A retailer wants to see if a red "Sale" sign brings in more revenue than the same "Sale" sign in blue. The data below shows the revenue in thousands of dollars that was achieved for various days when the retailer decided to put the red "Sale" sign up and days when the retailer decided to put the blue "Sale" sign up. Red: 2.7, 2.6, 1.1, 4.2, 2.6, 3.4, 2.3, 2.9, 4, 2.6 Blue: 2.2, 1, 2.8, 1.6, 0.6, 0.9, 1, 1.7, 3.4 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.01 level of significance level of significance? b. The test statistic t î = (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.)

Match these values of r with the accompanying scatterplots: 1, -0.355, -0.718, 0.355, and 0.996. Scatterplot 1 Scatterplot 2 8- 6- 6- FUUS 4- 2-* 0- 0 0.2 0.4 0.6 0.8 1 X 4- 2- 0- 0 0.2 0.4 0.6 0.8 X > 15- 14- 13- 12- 11- Scatterplot 3 10+ . 0 0.2 0.4 0.6 0.8 X O A. Scatterplot 1, r=-0.355; Scatterplot 2, r = 1, Scatterplot 3, r = 0.355, Scatterplot 4, r = -0.718, Scatterplot 5, r = 0.996 B. Scatterplot 1, r = 0.355; Scatterplot 2, r = 0.996, Scatterplot 3, r = -0.355, Scatterplot 4, r = -0.718, Scatterplot 5, r = 1 O C. Scatterplot 1, r=-0.355; Scatterplot 2, r = 0.996, Scatterplot 3, r = 0.355, Scatterplot 4, r = -0.718, Scatterplot 5, r = 1 O D. Scatterplot 1, r= 0.355; Scatterplot 2, r = 1, Scatterplot 3, r = -0.355, Scatterplot 4, r = -0.718, Scatterplot 5, r = 0.996 8- 6- 4- 2- Scatterplot 4 0- 0 0.2 0.4 0.6 0.8 X 8- 6- 4- 2- 04 0 Scatterplot 5 . • 0.2 0.4 0.6 0.8 X ..

A survey was conducted on how many texts (in average) students receive during an in-person class time. A survey data in a class in a particular day is given in the table. Number students Number of texts 1 20 2 14 12 4 5 If the average number texts that students received during this class time is 3, then determine the number of students (the value of x) that received 5 texts during the class time on that particular day.

In a study on the ecological impact of malarial infection in the lizard Scelopons occidentalis, researchers caught 15 lizards with the malarial parasite Plasmodium and 15 without. Researchers measured the distance (meters) each lizard could run in two minutes (as a measure of stamina). The following is the code and R output from the "t.test" function. t.test (x=infected, y=uninfected) Welch Two Sample t-test data: infected and uninfected t = -1.9658, df = 27.239, p-value = 0.05959 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: -10.9523489 0.2323489 sample estimates: mean of x mean of y 26.87333 32.23333 What is the upper bound of the confidence interval? Oa. 26.8733 Ob. 0.2323 Oc. 32.2333 Od.-10.9523

Find the mode for the following variables 2,12,5,8,5,12,6,3,6,12,12

Match these values of r with the accompanying scatterplots: 1, - 0.996, - 0.743, 0.996, and 0.358. Click the icon to view the scatterplots. i Scatterplots Match the values of r to the scatterplots. Scatterplot 1, r = Scatterplot 2, r = Scatterplot 1 Scatterplot 2 Scatterplot 3 Scatterplot 3, r = 15- 0- 8- . Scatterplot 4, r= 14- -2- 6- 13- Scatterplot 5, r= -4- 4- 12- -6– 11- 2- -8- 1 104 0- 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 - 0.743 0.996 Scatterplot 4 Scatterplot 5 - 0.996 8- 8- 0.358 6- 6- > 4- 4- 2- 2- 0+ 0- 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1

The values listed below  are waiting  times (in minutes) of customers  at 2cdifferent banks. At Bank A, customers  enter a single waiting  line that feeds three teller windows.  At Bank B, customers  mayventer any one of three  different  lines that have formed  at three  teller windows.  Answer the following questions.   Bank A 6.3  6.6  6.7  6.8   7.1  7.2  7.5 7.8  7.8 Bank B  4.1  5.5  5.8  6.1  6.7  7.7  7.7  8.4  9.3  10.0 Construct a  95% confidence  interval  for the population  standard  deviation  at  Bank  A

Simplify. State any non-permissible values. 2x² - 18 x-1 x² -9 x + 3