Consider a small shop with only one checkout counter. The arrivals of customers are distributed throughoutthe day such that a line rarely forms at the counter. Suppose the arrival times of customers at the counterfollows the Exponential Distribution: XЕap(0.4).0.40.33 0.20.10.00.02.55.07.510.012.515.0a. What is the mean time (in minutes) between customers?b. Determine the following probability.P(2 < X < 10) Suppose X - U(2, 7). Determine P(X > 6 | X > 5).Note: This is a very challenging problem.

Solution Dear student as per guidelines we answer the first question only when multiple questions…

Answered: Consider a small shop with only one…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Complete the following table From the frequency distribution, find the mean. Interval Midpoint x Frequency F Product xf 41.5-48.5 11 48.5-55.5 15 55.5-62.5 19 62.5-69.5 25 69.5-76.5 3 76.5-83.5 2
An article in a magazine discussed the length of time till failure of a particular product. At the end of the product's lifetime, the time till failure is modeled using an exponential distribution with a mean of 500 thousand hours. In reliability jargon this is known as the "wear-out" distribution for the product. During its normal (useful) life, assume the product's time till failure is uniformly distributed over the range 200 thousand to 1 million hours. Complete parts a through c. a. At the end of the product's lifetime, find the probability that the product fails before 600 thousand hours. (Round to four decimal places as needed.)
Suppose that the time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with 1 = 0.0003. What proportion of the fans will last at most 10,000 hours? What proportion of the fans will last at least 7000 hours? a. 0.0498, 0.1225 O b.0.9502, 0.1225 O c. 0.0498, 0.8775 O d. NONE
The time that a student spends on finding a certain book in library have an exponential distribution of 8 minutes. Find the following : A. Rate parameter B. standard deviation C. probability that the time spent in searching is less than 5 minutes D. 50th percentile E. Time spent that belongs to the highest 5%
Suppose that the time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with A = 0.0003. • What proportion of the fans will last at most 10,000 hours? • What proportion of the fans will last at least 7000 hours? a. 0.0498, 0.8775 Ob. NONE Oc 0.0498, 0.1225 Od.0.0502, 0.1225
A company has recorded the following customer inter-arrival times and service times for 10 customers at one of its single teller service lines. Assume the data are exponentially distributed and the 10 data points represent a reasonable sample. Refer to the information below. All time in minutes Inter- Customer Service arrival 11.08 2.2 2. 7.5 3.5 6. 1.1 4 5.75 12.5 5. 8.5 6. 9.15 2.7 15.5 5.3 8. 13 8.5 6. 10.5 4. 10 1.5 What is the mean arrival rate per hour ()? (Use two decimals) Refer to Scenario 3. What is the mean service rate per hour (u)? (Use two decimals)
Below are some frequency distribution data that were collected from a recent experiment that looks at musicians and their ability to improvise. Let’s say for the sake of this example that these are continuous data. X is the number of years playing piano, and f is the frequency reported. X f7 66 55 54 53 12 21 00 2 a. Compute the median number of years that participants reported playing the piano without using a formula.
Snapchat has more than 200 million daily users sending over 3 billion snaps a day. Suppose that: The time X between snaps you received is governed by: Exponential distribution, u = 8 minutes
The ages of a random sample of motorcyclists when they were fatally injured in traffic crashes were recorded and tabled below: Age (in years) Below 16 1628 28 - < 40 40 - < 52 52 - < 64 64 - <76 B. 0.55 C. 0.44 Frequency 0 2 6 10 13 5 D. 0.50 Midpoints The relative frequency of motorcyclist's aged between 20 and 50 who were fatally injured in traffic crashes is (rounded off to two decimals): A. 0.38 22 34 46 58 70 Cumulative freq. 0 2 8 18 31 36
4a.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
The following table shows a sample of room rates for a 100 room resort hotel in Nova Scotia for the time period Jan. 1 to Dec. 2003. Note that 1/1-7/3 means January 1 to March 7, 2003. Be sure to scroll down to see the bottom of the rate table. 2003 Room Rates A Oceanfront 1 double bed Oceanfront 2 double beds Oceanfront Effic, 2 double beds 2 room suite 3 double beds Oceanfront Suite 3 double beds Extra Person B C D E 1/1 - 7/3 75 85 105 120 140 5 8/3 30/3 125 135 155 175 200 8 31/3 - 31/5 85 115 130 150 5 1/6 -30/6 100 110 130 150 175 5 1/7 2/9 -1/9 -8/10 150 95 180 200 225 10 105 125 140 165 7 9/10 -1/12 85 95 115 130 5 2/12 -20/12 75 85 105 120 140 5 21/12 - 31/12 125 135 155 175 200 10 IMPORTANT: Please omit the dollar signs in all answers. Note: Suites have 3 beds. a. For the 9 time periods, what was the mean extra person rate? b. (i) This hotel has 20 type A rooms, 15 type B, 30 type C, 25 type D and the remainder are type E. If the hotel was fully booked (with no extra people…
Calculate the incidence rate of prostate cancer in this population A population of 200 healthy men was followed up for the development of prostate cancer. 10 men were followed-up for 1 year and were then lost to follow-up. After being followed-up for 5 years, 10 men developed prostate cancer. The remaining men who never developed prostate cancer were followed for 10 years.

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