Question 1 The coffee shop A coffee shop knows from past recordsthat its weekly takings (sales) are normally distributed with amean of $10,500 and a standard deviation of $478. Answer thefollowing questions:
a. Find the probability that in a given week the coffee shopwould have takings of more than $10,700
b. Find the probability that in a given week the takings arebetween $9,800 and $11,000.
c. Calculate the inter-quartile range of weekly takings.
d. What are the maximum weekly takings for the worst 5% ofweeks?
Question 2 Normal model
a. A cut-off score of 79 has been established for a sample ofscores in which the mean is 67. If the corresponding z-score is 1.4and the scores are normally distributed, what is the standarddeviation?
b. The standard deviation of a normal distribution is 12 and 95%of the values are greater than 6. What is the value of themean?
c. The mean of a normal distribution is 130, and only 3% of thevalues are greater than 155. What is the standard deviation?
