Question

Red Bull is the most popular energy drink in sales in the United States. Red Bull GmbH (the parent company) has observed that daily sales are normally distributed with an average of 6,492,360 drinks sold with a standard deviation of 5,013.47. What is the probability that on a given day below 6,491,733 drinks are sold? Question 1 options: 1) 0.1589 2) We do not have enough information to calculate the value. 3) 0.4502 4) 0.5498 5) 0.8411

Question 2 (1 point) The stock price for International Business Machines (IBM) historically has followed an approximately normal distribution (when adjusting for inflation) with a mean of $188.96 and standard deviation of $3.4196. What is the probability that on a selected day the stock price is above $187.69? Question 2 options: 1) 0.3552 2) We do not have enough information to calculate the value. 3) 0.1647 4) 0.8353 5) 0.6448 Question 3 (1 point) Suppose that the distribution of income in a certain tax bracket is approximately normal with a mean of $53,114.38 and a standard deviation of $1,350.89. Approximately 2.87% of households had an income greater than what dollar amount?

Question 3 options: 1) 3,414,662 2) 3,520,891 3) 50,547.35 4) We do not have enough information to calculate the value. 5) 55,681.42

Question 4 (1 point) Suppose that the distribution of income in a certain tax bracket is approximately normal with a mean of $52,585.33 and a standard deviation of $1,112.988. Approximately 43.65% of households had an income greater than what dollar amount? Question 4 options: 1) 250,597.2 2) 52,763.24 3) We do not have enough information to calculate the value. 4) 52,407.42 5) 145,426.5

Question 5 (1 point) Suppose that one-way commute times in a particular city are normally distributed with a mean of 24.88 minutes and a standard deviation of 2.495 minutes. Would it be unusual for a commute time to be between 27 and 27.9 minutes? Question 5 options: 1) A value in this interval is not unusual. 2) A value in this interval is borderline unusual. 3) It is impossible for a value in this interval to occur with this distribution of data. 4) A value in this interval is unusual. 5) We do not have enough information to determine if a value in this interval is unusual.

Question 6 (1 point) Measurements were recorded for the slapshot speed of 100 minor-league hockey players. These measurements were found to be normally distributed with mean of 81.775 mph and standard deviation of 3.4282 mph. Would it be unusual to record a value between 80.49 and 82.81 mph? Question 6 options: 1) It is impossible for a value in this interval to occur with this distribution of data. 2) A value in this interval is unusual. 3) A value in this interval is borderline unusual. 4) We do not have enough information to determine if a value in this interval is unusual. 5) A value in this interval is not unusual

Answer 1

1)
Z = (X - mean)/sd
P(X < 6491733)
= P(Z <( 6491733 - 6492360)/5013.47)
=P(Z > -0.12506)
= 0.5498

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