Use the following information for Questions 8 and 9. P(x) X 0 0.2 1 0.2 2 0.4 3 0.2 Determine the standard deviation of X. x = Round do not round computations until the final answer. Round final answer to two decimal places, if necessary. Use the following information to answer the next four exercises. Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty cold) is only about 4%. Of the next 25 patients calling in claiming to have the flu, we are interested in how many actually have the flu. Define the random variable. X = the average length of calls from the 25 patients calling in X = the number of patients who do not have the flu X = the number of patients calling in X = the number of patients who actually have the flu from the 25 patients calling in claiming to have the flu Use the following information from Question 1. Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty cold) is only about 4%. Of the next 25 patients calling in claiming to have the flu, we are interested in how many actually have the flu. Find the probability that exactly four of the 25 patients actually have the flu. Do not round intermediate computations. Round final answers to four decimal places. Use the following information from Question 1. Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty cold) is only about 4%. Of the next 25 patients calling in claiming to have the flu, we are interested in how many actually have the flu. Find the probability that less than four of the 25 patients actually have the flu. Do not round intermediate computations. Round final answers to four decimal places. Use the following information from Question 1. Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty cold) is only about 4%. Of the next 25 patients calling in claiming to have the flu, we are interested in how many actually have the flu. Find the probability that at least three of the 25 patients actually have the flu. Do not round intermediate computations. Round final answers to four decimal places. Use the following information from Question 1. Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty cold) is only about 4%. Of the next 25 patients calling in claiming to have the flu, we are interested in how many actually have the flu. Compute the standard deviation of X. Round final answers to two decimal places, if necessary. Use the following information to answer the next three exercises: The probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1,034 games played (as of a certain date). An upcoming monthly schedule contains 12 games. The expected number of wins for that upcoming month is: 0.3694 4.43 12 1.67 Use the following information for Questions 12, 13, and 14. You are playing a game by drawing a card from a standard deck and replacing it. If the card is a face card, you win $50. If it is not a face card, you pay $10. There are 12 face cards in a deck of 52 cards. What is the expected value of playing the game? Do not round intermediate computations. Round final answer to two decimal places. Use the following information from Question 9: The probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1,034 games played (as of a certain date). An upcoming monthly schedule contains 12 games. Let X = the number of games won in that upcoming month. What is the probability that the San Jose Sharks win six games in that upcoming month? 0.8903 0.2336 0.1476 0.7664 Use the following information from Question 12. You are playing a game by drawing a card from a standard deck and replacing it. If the card is a face card, you win $50. If it is not a face card, you pay $10. There are 12 face cards in a deck of 52 cards. Determine the standard deviation. Do not round intermediate computations. Round final answer to two decimal places. Use the following information from Question 9: The probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1,034 games played (as of a certain date). An upcoming monthly schedule contains 12 games. Let X = the number of games won in that upcoming month. What is the probability that the San Jose Sharks win at least five games in that upcoming month? 0.4734 0.5266 0.3694 0.2305