Five hundred consumers are surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table. 18-24 25-34 35-55 55 and over Total Liked Crunchicles 19 56 51 46 172 Disliked Crunchicles 65 29 45 57 196 | NoPreference | 14] 23| 8] 87] 132 [TWWWWW One consumer from the survey is selected at random. Leave all answers in a reduced fraction. a. What is the probability that the consumer is 18-24 years of age, given that he/ she dislikes Crunchicles? b. What is the probability that the selected consumer dislikes Crunchicles? c. What is the probability that the selected consumer is 3555 years old or likes Crunchicles? d. If the selected consumer is 70 years old, what is the probability that he/ she likes Crunchicles? Giving a test to a group of students, the table below summarizes the grade earned by gender. A B C Total Male 12 9 10 31 Female 11 2 8 21 Total 23 11 18 52 If one student is chosen at random, find the probability that the student is female given the student earned grade 8. Round your answer to four decimal places. Based on the sample data set, -5 30 37 5 55 7 3 17 12 find the lower fence and upper fence. Lower Fence = Upper Fence = Is 30 a outlier? Yes No Is 17 a outlier? Yes No Is 55 a outlier? No YesA normal distribution of BMCC MAT51 scores has a standard deviation of 2.9. Find the z-scores corresponding to each of the following values: (Round to 2 decimal places) a. Ascore that is 2.9 points above the mean. (Hint: "x - mean = 5" is 5 above the mean) b. A score that is 5.8 points below the mean. c. A score that is 1.67 points above the mean. d. A score that is same as the mean. Giving a test to a group of students, the table below summarizes the grade earned by gender. If one student is chosen at random, find the probability that the student was not a female and did not earn grade C. Round your answer to four decimal places. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8 years, and standard deviation of 2.5 years. If you randomly purchase one item, what is the probability it will last longer than 8 years? Round answer to four decimal places [: In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.9 inches, and standard deviation of 4.4 inches. What is the probability that the height of a randomly chosen child is between 55.7 and 57 inches? Do not round until you get your your final answer, and then round to 3 decimal places. Answer=[: (Round your answer to 3 decimal places.)