Suppose approximately 75% of all marketing personnel are extroverts, whereas about 55% f all computer programmers are introverts. (Round your answers to three decimal places.) (a) At a meeting of 15 marketing personnel, what is the probability that 10 or more are extroverts? What is the probability that 5 or more are extroverts? What is the probability that all are extroverts? (b) In a group of 4 computer programmers, what is the probability that none are introverts? What is the probability that 2 or more are introverts? What is the probability that all are introverts? A particular lake is known to be one of the best places to catch a certain type of fish. In this table, x= number of fish caught in a 6-hourperiod. The percentage data are the percentages of fishermen who caught x fish in a 6-hour period while fishing from shore. (a) Convert the percentages to probabilities and make a histogram of the probability distribution. (Because the data table has summarized the data into categories, use SALT to create a bar chart.) (b) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. (Round your answer to two decimal places.) (c) Find the probability that a fisherman selected at random fishing from shore catches two or more fish in a 6-hour period. (Round your answer to two decimal places.) (d) Compute , the expected value of the number of fish caught per fisherman in a 6-hour period (round "at least 4 to 4). (Round your answer to two decimal places.) = fish (e) Compute , the standard deviation of the number of fish caught per fisherman in a 6-hour period (round "at least 4" to 4). (Round your answer to three decimal places.) =fish