Question

In: Statistics and Probability

Problem 1 The time it takes to process phone orders in a gift shop is normally...

Problem 1

The time it takes to process phone orders in a gift shop is normally distributed with a mean of 6 minutes and a variance of 4 minutes.

a. what is the probability that a phone order can be processed by at least 5 minutes

b. what is the probability that a phone order can be processed by at most 4 minutes

c. What cutoff value would separate the 10% of orders that take the most time to process?

d. if we take a sample of 4 processed phone orders, what is the probability that the average time taken to process phone calls is more than 7.5 minutes

e. if we take a sample of 4 processed phone orders, what is the probability that the average time taken to process phone calls is between 4.5 and 8.5 minutes

Solutions

Expert Solution


Related Solutions

Better Blooms is a florist shop which takes orders by internet and phone, prepares the desired...
Better Blooms is a florist shop which takes orders by internet and phone, prepares the desired floral arrangements, and delivers within a 25-mile radius of the shop. Since the profit margin on the business is small for each arrangement and the competition from other florists in the area is high, the owner is concerned about setting the appropriate costs for each delivery to be profitable while still being competitive. To investigate, the owner has gathered information on a random sample...
PROBLEM 1 The owner of the Red Mill Inn reviews gift shop sales on a monthly...
PROBLEM 1 The owner of the Red Mill Inn reviews gift shop sales on a monthly basis. Over the years, certain items have been dropped from the shop because their sales provided insufficient profit relative to the other gift shop items. Information for the past six months on three gift shop items is in the table below. BAG OF SWEET STICKY MUFFINS BREAD BUNS Sales $2,160.00 $540.00 $2,880.00 Variable costs $1,170.00 $256.50 $1,260.00 Contribution Margin $990.00 $283.50 $1,620.00 Fixed costs...
The time that is takes to traverse the Bitfrost Bridge into Asgard is normally distributed with...
The time that is takes to traverse the Bitfrost Bridge into Asgard is normally distributed with a mean of 3.58 minutes. If 67.72% of Asgardains take longer than 3.10 minutes to cross the bridge, what is the value of the standard deviation of the times?
The time it takes to complete the assembly of an electronic component is normally distributed with...
The time it takes to complete the assembly of an electronic component is normally distributed with a standard deviation of 4.5 minutes. If a random of 20 components is selected, what is the probability that the standard deviation for the time of assembly of these units is less than 3.0 minutes?
1. The time it takes to do the in class problem sets averages 40 minutes. To...
1. The time it takes to do the in class problem sets averages 40 minutes. To test the hypothesis that the problem sets for hypothesis testing will be completed faster a sample of 100 students showed the average time to complete the problem sets was 32 minutes with a standard deviation of 9 minutes. a) At the .05 level do the hypothesis tests get done faster than normal? (note: p = 0) b) Interpret the p-value c) The 95% confidence...
7 During the period of time that a local university takes phone-in registrations, calls come in...
7 During the period of time that a local university takes phone-in registrations, calls come in at the rate of one every two minutes. What is the probability of receiving NO calls in a 10-minute period? What is the probability of receiving more than five calls in a 10-minute period? What is the probability of receiving less than seven calls in 15-minutes? What is the probability of receiving at least three but no more than 10 calls in 12 minutes?...
The time it takes workers to finish cleaning is normally distributed with a mean of 73.27...
The time it takes workers to finish cleaning is normally distributed with a mean of 73.27 minutes and a standard deviation of 7.04 minutes. If 13 workers are randomly selected, what is the probability the average time it takes them to finish cleaning is more than 73 minutes?
The time it takes to bake a Betty Crocker Supermoist Fudge Cake is normally distributed with...
The time it takes to bake a Betty Crocker Supermoist Fudge Cake is normally distributed with a mean of 45 minutes and a variance of 26 minutes^2. Let baking time, in minutes, be represented by random variable X. P(x1 < X < 49) = 0.0910. Find x1 (in minutes).
The time it takes to drive from Orangeville to the Vaughan Mills Mall is normally distributed...
The time it takes to drive from Orangeville to the Vaughan Mills Mall is normally distributed with a mean of 52 minutes and standard deviation of 5 minutes. What intervals could you estimate, using the knowledge from this activity, that do not include the mean as a max or min? For example,   is an interval we could estimate. However, it includes the mean as the maximum of the interval. Another example is  as an example of a probability interval that we know...
The actual time it takes to cook a ten pound turkey is a normally distributed. Suppose...
The actual time it takes to cook a ten pound turkey is a normally distributed. Suppose that a random sample of 19 ten pound turkeys is taken. Given that an average of 2.9 hours and a standard deviation of .24 hours was found for a sample of 19 turkeys, calculate a 95% confidence interval for the average cooking time of a ten pound turkey.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT