3 1. Four hundred ninety-four viewers were asked if they were satisfied with TV coverage of the COVID pandemic. The distribution of responses by gender is shown below. Gender: Male and Female Satisfied: Male :85 Female: 92 Not Satisfied Male : 134 Female : 183 1. Find P(satisfied). (Give your answer in the form of a proportion correct to two decimal places.) 2. Find P(satisfied | female). Give your answer in the form of a proportion correct to two decimal places.) 3. Find P(satisfied | male). Give your answer in the form of a proportion correct to two decimal places. ) 2. A researcher takes a random sample from a population and records every person's age. The average age of the population is 32 with a standard deviation of 6. a. Based on the population parameters, what is the z-score for the age 40? (Round to no less than two decimal places. b. What is the probability that a person selected for the sample from this population is 40 years old or older? (Give the proportion correct to four decimal places.) 3.Sean and Dave are friends. They like to play mobile games and compete to see who can get the highest score. Recently, Sean posted a high score of 1,700,000 on Temple Run, which is much higher than his previous high score and Dave suspects Sean is cheating. Dave has been recording his and Sean's daily scores on the game and calculates that Sean's average score on the game up to this point is 1,000,000 with a standard deviation of 250,000. . What is the z-score for Sean's new high score? (Round to no less than two decimal places Based on his performance up to now, what is the probability that Sean would get that score or higher? (Give the proportion correct to four decimal places. 4. Kensi earns extra money by selling goods at a local flea market on the weekends. Her average take-home is $100 with a standard deviation of $25. a. Kensi made $130 today- Saturday. Based on her past earnings, what is the z-score for $130? (Round to two decimal places . What is the probability that Kensi will make $120 or more tomorrow - Sunday? (Give the proportion correct to four decimal places - as it is shown in the Z table.) 5. Examination of court records in a particular state shows that the mean sentence length for first-offense drug dealers is 26 months with a standard deviation of 2 months. The records show that the sentence lengths are normally distributed. 1) What percentage of first-time convictions for drug dealing are 23 or fewer months in length? 2) A defense attorney is concerned that his client's sentence was unusually harsh at 30months. What percent of sentences are 30 months or longer? 6. Find the value of z, (NOT the probability) given the following. Give your answer correct to two decimal places. x = 261, = 253 and = 8.5 z = [x