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A)

If the area to the left of x in a normal distribution is 0.167, what is the area to the right of x? (Enter an exact number as an integer, fraction, or decimal.)The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts. Find the probability that a CD player will last between 2.8 and six years. (a) Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability. X 0.2 1.5 2.8 4.1 5.4 6.7 8 O 0.2 1.5 2.8 4.1 5.4 6.7 X O 0.2 1.5 2.8 4.1 5.4 6.7 8 O 0.2 1.5 2.8 4.1 5.4 6.7 (b) Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the probability to four decimal places.) =The heights of the 430 National Basketball Association players were listed on team rosters at the start of the 2005-2006 season. The heights of basketball players have an approximate normal distribution with mean, A = 79 inches and a standard deviation, o = 3.89 inches. Part (a) For the following height, calculate the z-score and interpret it using complete sentences. (Round your answer to two decimal places.) 76 inches The z-score is An NBA player whose height is 76 inches is --Select--- |average. Part (b) For the following height, calculate the z-score and interpret it using complete sentences. (Round your answer to two decimal places.) 81 inches The z-score is An NBA player whose height is 81 inches is --Select--- |average. Part (c) If an NBA player reported his height had a z-score of 3.5, would you believe him? Explain your answer. (Round your answer to two decimal places.) A z-score of 3.5 equates to a height of inches. There are -Select- |NBA players this tall, so it is --Select-- that the player's z-score is 3.5.The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean u = 120 and standard deviation o = 14. (a) Calculate the z-scores for the male systolic blood pressures 115 and 125 millimeters. (Round your answers to two decimal places.) 115 mm Z 125 mm Z = (b) If a male friend of yours said he thought his systolic blood pressure was 2.5 standard deviations below the mean, but that he believed his blood pressure was between 115 and 125 millimeters, what would you say to him? (Enter your numerical answer to the nearest whole number.) He is ---Select--- v|because 2.5 standard deviations below the mean would give him a blood pressure reading of millimeters, which is --Select- the range of 115 to 125 millimeters.The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.2 days and a standard deviation of 2.3 days. What is the probability of spending more than 2 days in recovery? (Round your answer to four decimal places.)