Find these probabilities for a sample of nine children of 60% of them had German measles by the time they were 12 years old. 11. At least five have had German measles. 12. Exactly seven have had German measles.

5. A bag contains 20 purple marbles, 15 red marbles, and 5 blue marbles. What is the probability of randomly selecting a purple marble, not putting it back, and then randomly selecting a blue marble? (Express your answer as a decimal rounded to two places.)

A local high school makes a change that should improve student satisfaction with the parking situation. Before the change, 37% of the school's students approved of the parking that was provided. After the change, the principal surveys an SRS of 200 from the more than 2500 students at the school. In all, 83 students say that they approve of the new parking arrangement. The principal cites this as evidence that the change was effective. Which of the following is not true regarding Type I and Type II errors in this setting? O A Type I error occurs if you find convincing evidence that more than 37% of students were satisfied with the new parking arrangement, when in reality only 37% were satisfied. O A Type Il error occurs if you do not find convincing evidence that more than 37% are satisfied with the new parking arrangement, when in reality more than 37% are satisfied. O A possible consequence of a Type I error is the principal believes that students are satisfied and takes no further…

5.Approximately 64% of the people murdered actually knew their murderer.  Given 63 current unsolved murders, what is the probability that at least (equal to and more than) 35 victims knew their murderer?

2. A dance crew of 12 is to be randomly selected from 11 hip-hop dancers, 9 ballet dancers, 13 ballroom dancers and 7 break dancers. What is the probability of having 5 ballet dancers on the dance crew?

24 2. Approximately 11% of all people are left-handed. Consider 20 randomly selected students. In the questions below please provide the probability statements along with calculations and/or calculator functions with inputs wherever possible. C. You are the instructor for a course for these students and you will have to order left-handed desks if more than 4 of your students are left-handed. Find the probability that you will have to place such an order. d. What is the probability that you will have to ask fewer than 7 students until you find one that is left-handed.

14. Colors of Christmas: In a Christmas display, the probability that all lights are the same color is 0.50; that 2 colors are used is 0.40; and that 3 or more colors are used is 0.10. If a sample of 10 displays is selected, find the probability that 5 have only 1 color of light, 3 have 2 colors. and 2 have 3 or more colors.