According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example: 0.123] Compute the probability that a randomly selected peanut M&M is not blue. Compute the probability that a randomly selected peanut M&M is green or brown. Compute the probability that three randomly selected peanut M&M's are all orange. If you randomly select three peanut M&M's, compute that probability that none of them are blue. If you randomly select three peanut M&M's, compute that probability that at least one of them is blue. D Question 6 E4 2 pts '0 1 A sample of size n = 10 is drawn from a population. The data is shown below. 56 33.9 36.9 62.6 62.6 29.5 48.4 45.4 40.6 62.6 What is the range of this data set? range = What is the standard deviation of this data set? (Remember, it is a sample.) Please report the answer with appropriate rounding, reporting 2 more decimal places than the original data. Please, please, please do not calculate the value by hand. stdev = Suppose you take a standardized test and you are in the 15 th percentile. What does this percentile mean? 0 15% of the scores were your score or lower 0 15% of the scores were higher than your score 0 you scored 15% higher than the class average 0 you scored 15% lower than the class average Can you say that you failed the test? 0 No, since 15% is below 60% 0 Yes, since 15% is below 60% O No, since you scored 15% above the class average 0 It depends on how the rest of the class scored. If scores were really high, it is possible that I got a passing score 0 It depends on how the rest of the class scored. If scores were really low on this exam, it is possible that I got a passing score The following refer to the following data set: 88.9 69 88.9 88.9 63.7 69.2 44.9 51.7 77.5 55.6 What is the arithmetic mean of this data set? mean = What is the median of this data set? median = What is the mode of this data set? mode = A runner for team 1 can run a race in 59.5 seconds. Team 1 has running times with a mean of 64.2 seconds and a standard deviation of 1.1 seconds. A runner for team 2 can run a race in 56.4 seconds. Team 2 has running times with a mean of 62.1 seconds and a standard deviation of 4.2 seconds. a) Which runner is faster? (this is not a trick question...no statistics involved here) 0 runner for team 2 O runner for team 1 b) What is the z-score associated with the running time of runner for team 1? Round final answer to two decimal places. Researchers watched dolphin groups off the coast of Ireland in 1998 to determine what activities the dolphin groups partake in at certain times of the day. The numbers in table below represent the number of dolphin groups that were partaking in an activity at certain times of days. To 1 3 a) What is the probability that a dolphin group is partaking in social activities? Round your final answer to 3 decimal places. b) What is the probability that a dolphin group is around in the afternoon? Round your final answer to 3 decimal places. c) What is the probability that a dolphin group is partaking in social activities given that it is around in the afternoon? Round your final answer to 3 decimal places. d) What is the probability that a dolphin group is around in the afternoon given that it is partaking in social activities? Round your final answer to 3 decimal places. e) What is the probability that a dolphin group is around in the evening given that it is partaking in travel? Round your final answer to 3 decimal places. f) What is the probability that a dolphin group is around in the evening and is partaking in travel? Round your final answer to 3 decimal places. g) What is the probability that a dolphin group is around in the evening or is partaking in travel? Round your final answer to 3 decimal places. h) Are the events dolphin group around in the evening and dolphin group partaking in travel mutually exclusive events? Why or why not? In a student's botony class, the final grade is based on six categories. The categories, grades, and weights are shown in this table. Category Grade Weight % Test 1 79 15 Test2 49 19 Test 3 75 16 Homework 89 8 Semester Project 50 7 Final Exam 64 35 Compute a weighted average to determine the student's overall final grade in the course. Record the overall final grade below as a percentage. Round accurately to two decimal places. Final Grade: %Giving a test to a group of students, the grades and gender are summarized below If one student is chosen at random, Find the probability that the student got an A: Find the probability that the student was male AND got a "A": Find the probability that the student was female 0R got an "C": If one student is chosen at random, find the probability that the student was female GIVEN they got a 'C': Suppose a jar contains 12 Red marbles and 39 Blue marbles. You reach in the jar and pull out 2 marbles at random (without replacement). Complete the tree diagram below. Enter your answers in either fraction or decimal form (accurate to at least 4 decimal places) (a) (b) Red B ue (c) (d) (e) (f) Red Blue Red Blue RR RB BR BB (g) (h) (i) (i) D mm C] um D mm ME] ME] (i):[:] (j):[:] Use the tree diagram to find the probability that both marbles are Red. C Use the tree diagram to find the probability at least one marble is Blue. Cl The boxplot below shows pulse rates for a random sample of male subjects before and after one minute of exercise. Before exercise After exercise -I l l l l i i I- 40 60 80 100 120 140 I60 180 Pulse Rate of Male Subjects in beats per minute Which pulse rates are more consistent overall? 0 Before exercise O After exercise Which pulse rates are more consistent in the middle 50%? O After exercise O Before exercise The middle pulse rate is higher for which group? 0 After exercise 0 Before exercise Suppose you want to estimate the percentage of people who got a flu vaccine who did not get the flu. You take a sample of 100 people who got the flu vaccine. Fill in the following in the context of this problem: individual: _ variable. _ sample: POPUlation- statistic. _ Parameter: _