“Assignment Chapter 5 Problem SetDetails:Complete problems in the textbook.Submit one Excel file. Put each problem result on a separate sheet in your file.You are not required to submit this assignment to Turnitin.56.1 Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1, as in Table E.2), what is the probability that a. Z is less than 1.57? b. Z is greater than 1.84? c. Z is between 1.57 and 1.84? d. Z is less than 1.57 or greater than 1.84? 6.5 Given a normal distribution with m = 100 and s = 10, what is the probability thata. X > 75?b. X < 70?c. X < 80 or > 100?d. Between what two X values (symmetrically distributed around the mean) are 80% of the values?6.7 In 2008, the per capita consumption of coffee in the United States was reported to be 4.2 kg, or 9.24 pounds (dataextracted from en.wikipedia.org/wiki/List_of_countries_by_coffee_consumption_per_capita). Assume that the percapita consumption of coffee in the United States is approximately distributed as a normal random variable, with a meanof 9.24 pounds and a standard deviation of 3 pounds.

a. What is the probability that someone in the United States consumed more than 10 pounds of coffee in 2008?b. What is the probability that someone in the United States consumed between 3 and 5 pounds of coffee in 2008?c. What is the probability that someone in the United States consumed less than 5 pounds of coffee in 2008?d. 99% of the people in the United States consumed less than how many pounds of coffee?6.9 Consumers spend an average of $21 per week in cash without being aware of where it goes (data extracted fromSnapshots: A Hole in Our Pockets, USA Today, January 18, 2010, p. 1A). Assume that the amount of cash spentwithout being aware of where it goes is normally distributed and that the standard deviation is $5.a. What is the probability that a randomly selected person will spend more than $25?b. What is the probability that a randomly selected person will spend between $10 and $20?c. Between what two values will the middle 95% of the amounts of cash spent fall?6.11 A statistical analysis of 1,000 long-distance telephone calls made from the headquarters of the Bricks and ClicksComputer Corporation indicates that the length of these calls is normally distributed, with m = 240 seconds and s = 40a. What is the probability that a call lasted less than 180 seconds?b. What is the probability that a call lasted between 180 and 300 seconds?c. What is the probability that a call lasted between 110 and 180 seconds?d. 1% of all calls will last less than how many seconds?Assignment Chapter 5 Problem SetDetails:Complete problems in the textbook.Submit one Excel file. Put each problem result on a separate sheet in your file.You are not required to submit this assignment to Turnitin.56.1 Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1, as in Table E.2), what is the probability that a. Z is less than 1.57? b. Z is greater than 1.84? c. Z is between 1.57 and 1.84? d. Z is less than 1.57 or greater than 1.84? 6.5 Given a normal distribution with m = 100 and s = 10, what is the probability thata. X > 75?b. X < 70?c. X < 80 or > 100?d. Between what two X values (symmetrically distributed around the mean) are 80% of the values?6.7 In 2008, the per capita consumption of coffee in the United States was reported to be 4.2 kg, or 9.24 pounds (dataextracted from en.wikipedia.org/wiki/List_of_countries_by_coffee_consumption_per_capita). Assume that the percapita consumption of coffee in the United States is approximately distributed as a normal random variable, with a meanof 9.24 pounds and a standard deviation of 3 pounds.a. What is the probability that someone in the United States consumed more than 10 pounds of coffee in 2008?b. What is the probability that someone in the United States consumed between 3 and 5 pounds of coffee in 2008?c. What is the probability that someone in the United States consumed less than 5 pounds of coffee in 2008?d. 99% of the people in the United States consumed less than how many pounds of coffee?6.9 Consumers spend an average of $21 per week in cash without being aware of where it goes (data extracted fromSnapshots: A Hole in Our Pockets, USA Today, January 18, 2010, p. 1A). Assume that the amount of cash spentwithout being aware of where it goes is normally distributed and that the standard deviation is $5.a. What is the probability that a randomly selected person will spend more than $25?b. What is the probability that a randomly selected person will spend between $10 and $20?c. Between what two values will the middle 95% of the amounts of cash spent fall?6.11 A statistical analysis of 1,000 long-distance telephone calls made from the headquarters of the Bricks and ClicksComputer Corporation indicates that the length of these calls is normally distributed, with m = 240 seconds and s = 40a. What is the probability that a call lasted less than 180 seconds?b. What is the probability that a call lasted between 180 and 300 seconds?c. What is the probability that a call lasted between 110 and 180 seconds?d. 1% of all calls will last less than how many seconds?”