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 6,284,050 drinks sold with a standard deviation of 8,130.78. What is the probability that on a given day between 6,290,096 and 6,301,996 drinks are sold? Question 9 options: 1) We do not have enough information to calculate the value. 2) 0.0136 3) 0.2149 4) 0.0005 5) 0.7715

Question 10 (1 point) When students use the bus from their dorms, they have an average commute time of 11.13 minutes with standard deviation 3.0876 minutes. Approximately 26.34% of students reported a commute time less than how many minutes? Assume the distribution is approximately normal. Question 10 options: 1) 9.18 2) 13.08 3) 5.1 4) 17.16 5) We do not have enough information to calculate the value.

Question 11 (1 point) Suppose that the distribution of income in a certain tax bracket is approximately normal with a mean of $53,183.88 and a standard deviation of $1,799.608. Approximately 18.56% of households had an income greater than what dollar amount? Question 11 options: 1) We do not have enough information to calculate the value. 2) 54,793.14 3) 51,574.62 4) 2,842,851 5) 2,949,219

Question 12 (1 point) According to a survey conducted by Deloitte in 2017, 0.4609 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 89 randomly selected U.S. smartphone owners, what is the probability that greater than 46 will have attempted to limit their cell phone use in the past? Question 12 options: 1) 0.0241 2) 0.1703 3) 0.8779 4) 0.0483 5) 0.1221

Question 13 (1 point) According to a survey conducted by Deloitte in 2017, 0.4702 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 54 randomly selected U.S. smartphone owners, what is the probability that between 22 and 29 (inclusively) will have attempted to limit their cell phone use in the past? Question 13 options: 1) 0.1383 2) 0.7244 3) 0.2756 4) 1.0844 5) 0.0132

Question 14 (1 point) According to a survey conducted by Deloitte in 2017, 0.44 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 87 randomly selected U.S. smartphone owners, approximately __________ owners, give or take __________, will have attempted to limit their cell phone use in the past. Assume each pick is independent. Question 14 options: 1) 4.63 , 38.28 2) 38.28 , 21.40 3) 87 , 4.63 4) 38.28 , 0.44 5) 38.28 , 4.63

Answer 1

Solution:

Que 9)

     We are given that: Red Bull GmbH (the parent company) has observed that daily sales are normally distributed with an average of 6,284,050 drinks sold with a standard deviation of 8,130.78.

That is: Mean =

Standard Deviation =

We have to find the probability that on a given day between 6,290,096 and 6,301,996 drinks are sold.

That is: we have to find:

Find z scores for x = 6,290,096 and for x = 6,301,996

z score formula:

and

Thus we get:

Look in z table for z = 0.7 and 0.04 as well as z = 2.2 and 0.01 and find area.

P( Z < 0.74) = 0.7704

P( Z < 2.21) = 0.9864

Thus we get:

Since we are using z table, we are getting approximate answer and most closest answer from options is:

3) 0.2149

To get exact answer , we need to use Excel function:

=NORM.DIST(6301996,6284050,8130.78,TRUE)-NORM.DIST(6290096,6284050,8130.78,TRUE)

=0.2149