Question 2. Version 1*! 1. Score: 0/4 A probability distribution for a: is given by the following table. Find the expected value of 3:. Round your answer to one decimal place. :1 Score: N/A/4 Question 3. Version 1*! 1. Score: 0/4 For a standard normal distribution, find: P(z > -2.24) Express the probability as a decimal rounded to 4 decimal places. :] Score: N/A/4 Question 4. Version 1*/1. Score: 0/5 Two hundred consumers were 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 8 8 71 88 Disliked Crunchicles W 11 25 No Preference 10 70 87 Total 12 25 11 152 200 One consumer from the survey is selected at random. Use reduced fractions for your responses to each of the following questions. (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 35-55 years old or likes Crunchicles? (d) If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles?Question 5. Version 1*! 1. Score: 0l4 Events A and B are independent events. Find the indicated probability. P(A) = 0.1 P(B) = 0.9 Score: NlA/4 Question 6. Version 1*! 1. Score: 0/6 A local bakary has determined a probability distribution for the number of cheesecakes that they sell in a given day. X=#sold o | 5 10 I? 20 Probability 0.16 I0.06 0.07 l? 0.16 What is the probability of selling 15 cheesecakes in a given day? I: What is the probability of selling at least 10 cheesecakes? :] What is the probability of selling 5 or 15 chassescakes? :] What is the peobaility of selling 25 cheesecakes? :] Give the expected number of cheesecakes sold in a day using the discrete probability distribution? What is the probability of selling at most 10 cheesecakes? :]