Roll a fair six-sided die five times and record the number of spots on top. Which of the following sequences is more likely? Explain. Sequence A: 11111 Sequence B: 31236 Choose the correct answer below and fill in any answer boxes in your choice. (Type integers or fractions.) O A. Sequence A is more likely, because it has a probability of while Sequence B only has a probability of . (Type an integer or a simplified fraction.) O B. Sequence B is more likely, because it has a probability of while Sequence A only has a probability of . (Type an integer or a simplified fraction.) O C. The two sequences are equally likely. because they both have a probability of (Type an integer or a simplified fraction.)According to a poll done in 2010, 65% of adults aged 25-29 had only a cell phone (no landline). Assume that two randomly selected adults (aged 25-29) are asked whether they have only a cell phone. Complete parts a through e below. a. If a person has only a cell phone, we will record Y (for Yes). If not, we will record N. List all possible sequences of Y and N for this experiment. O A. YY, YN, NN C'B. YY, YN, NY, NN O C. Y, N, YY, YN, NY, NN O D. YY, YY, YN, NY, NN, NN b. For each sequence, find by hand the probability that it will occur, assuming each outcome is independent. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Do not round.) O A. P(YY) = , P(YY)= , P(YN) = , P(NY)= , P(NN)= , P(NN)= MB. P(YY) = 0.4225 , P(YN) = 0.2275 , P(NY) 0.2275 , P(NN) = 0.1225 O C. P(YY)= , P(YN)= , P(NN) = O D. P()= , P(N) = , P(YY)= . P(YN) = , P(NY)= , P(NN)= c. What is the probability that neither of the two randomly selected adults has only a cell phone? The probability that neither of the adults have only a cell phone is 0.0150 (Type an integer or decimal rounded to four decimal places as needed.)When people fold their hands together with interlocking fingers, most people are more comfortable with one of two ways. In one way, the right thumb ends up on top and in the other way, the left thumb is on top. The table shows the data from one group of people. Judging on the basis of this data set, are the events "right thumb on top" and "male" independent or associated? Click here to view the data comparing gender and thumb positioning. Find the marginal totals. Men Women | Total Right thumb on top 63 13 Left thumb on top 14 30 otalA recent poll asked respondents to fill in the blank to this question: "The country _ _ when it comes to giving equal rights to women" with one of three choices. The results are shown in the accompanying table using a sample size of 120 men and 120 women. Suppose a person is randomly selected from this group. Is being male independent of answering "Has gone too far?" Hasn't Gone Has Been Has Gone Far Enough |About Right Too Far Total Men 62 46 12 120 Women 84 43 13 120 Total 126 25 240 Since =and V= the events "male" and answering "has gone too far" independent. (Simp F(male and responded "has gone too far") F(male | has gone too far) P(has gone too far | male) P(male)Use technology to find the indicated area under the standard Normal curve. Include an appropriately labeled sketch of the Normal curve and shade the appropriate region. a. Find the probability that a z-score will be 1.57 or less. b. Find the probability that a z-score will be 1.57 or more. c. Find the probability that a z-score will be between - 1.3 and - 1.03. 3. Which graph below shows the probability that a z-score is 1.57 or less? O A. O B. O C. O D. Q 1-57 -1.57 1.57 -1.57 1.57 1.57