Psychiatrists have determined that the length of eye contact made by a typical person during a 5 minute period is normally distributed with a mean of 182.0 seconds and a standard deviation of 55.3 seconds. Find each probability below. Round all answers to four decimal places. What is the probability that a randomly selected person maintains eye contact for less than 150 seconds during a 5 minute period? What is the probability that a randomly selected person maintains eye contact for more than 200 seconds during a 5 minute period? What is the probability that a randomly selected person maintains eye contact for between 180 and 210 seconds during a 5 minute period? QUESTION 2 The amount of time for an oil change at a particular service station is normally distributed with a mean of 23.2 minutes and a standard deviation of 3.8 minutes. Find each probability below. Round all answers to four decimal places. What is the probability that a randomly selected oil change time at this station will be less than 25.0 minutes? What is the probability that a randomly selected oil change time at this station will be more than 35.0 minutes? What is the probability that a randomly selected oil change time at this station will be between 10.0 and 30.0 minutes? QUESTION 3 Suppose that the resting body temperature for individuals in a certain population follows a normal distroution with a mean of 36.71 degrees Celcius and a standard deviation of 0.41 degrees Celcius. Find the resting body temperature that separates the top 5% from the bottom 95% (i.e., find the 95th percentile). Round your final answer to three decimal places. P(X > c) = 0.05 QUESTION 4QUESTION 4 Suppose the gestation period for a certain species of elephant is normally distributed with a mean of 608 days and a standard deviation of 26 days. Find the two gestation periods that have the middle 99% of all gestation periods for this species between them. (You will find two values: a lower endpoint and an upper endpoint for the range of values containing the middle 99% of all gestation periods. ) Round your final answers to one decimal place. Lower endpoint: Upper endpoint: QUESTION 5 Psychiatrists have determined that the length of eye contact made by a typical person during a 5 minute period is normally distributed with a mean of 182.0 seconds and a standard deviation of 55.3 seconds. Find each value below. Round all answers to two decimal places. Type the number only; do not include units. What length of time separates the top 5% of eye contact durations in a 5 minute period? seconds What length of time separates the bottom 10% of eye contact durations in a 5 minute period? seconds What are the two lengths of time that have, between them, the middle 50% of eye contact durations in a 5 minute period? (You will find two values, a lower endpoint and an upper endpoint. Between these values is the middle 50% of observations for this distribution.) Lower endpoint: seconds Upper endpoint: seconds QUESTION 6 The amount of time for an oil change at a particular service station is normally distributed with a mean of 23.2 minutes and a standard deviation of 3.8 minutes. Find each value below. Round all answers to two decimal places. Type the number only; do not include units. What length of time separates the top 3% of oil change durations at this station? minutes What length of time separates the bottom 15% of oil change durations at this station? minutes What are the two lengths of time that have, between them, the middle 90% of oil change durations at this station? (You will find two values, a lower endpoint and an upper endpoint. Between these values is the middle 90% of observations for this distribution.) Lower endpoint: minutes Upper endpoint: minutes