3. A store opens at 8 A.M. and closes at 6 P.M. From 8 until 10 customers arrive at a Poissonrate of 5 an hour. Between 10 and 12 they arrive at a Poisson rate of 9 an hour. From 12to 2 the arrival rate increases steadily from 9 per hour at 12 to 15 per hour at 2; and from2 to 6 the arrival rate drops steadily from 15 per hour at 2 to 7 per hour at 6.(a) What is the expected number of customers that enter the store on a given day?(b) What is the probability that from 12 to 2, there are exactly 20 customers arrive?Compute this number numerically.

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Answered: 3. A store opens at 8 A.M. and closes…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Consider the following table: i 1 2 3 4 5 6 7 8 9 10 R₁ 0.2995 0.7599 0.6189 0.3578 0.6948 0.4765 0.8897 0.0991 0.9789 0.5662 Assuming a Poisson process that mimics an M/M/1 setup with a service rate of 2 customers every minute, and a traffic intensity of 95%. Required: b) Based on the provided data, define the first 6 exponential random variates accordingly.
Question 1. A researcher wants to study the effect of a price change on the sales of various brands of a certain product. Assume the market is made up of four brands - W, X, Y and Z- and the price change (decrease) for brand W is introduced immediately after time t0. Assume every respondent buys exactly one unit of the product in each period. Data on number of respondents buying each brand in each period, based on a panel, are as follows: Y W 175 25 100 25 25 Y 25 50 50 25 Note: Confine your attention only to the data presented Assume the world starts at to and stops after ti and the strategies of brands X, Y, and Z are unchanged between to and ti. c) Which brand(s) other than W exhibited the highest loyalty rate? Show your calculations. d) Which of the brands X Y, Z should be most worried about W's promotion? Show your calculations. to
2) d and e.
2. Use any social media application and select any 6 students and ask them how many hours they spend in social media each day a. Fill the following table and provide evident that you ask 6 students. I Student # 1 2 3 4 Hours 12 7 8 4 11 b. Calculate all central tendency measurements of the time. c. Calculate all dispersion measurements of the time.
Questions 2 and 3 are individual parts. That is, each group member is to answer the questions for a different day, according to the following list: Member 1: Day 4 Member 2: Day 6 Member 3: Day 8 Member 4: Day 10 2. Estimate the average rate of flow from three days before your day until your day; from two days before your day until your day; from one day before your day until your day. Also estimate the average rate of flow from your day until three days after your day; from your day until two days after your day; from your day until one day after your day. Copyright 1994 John Wiley & Sons, Inc. 224 3. Estimate the instantaneous rate of flow on your day.
Given the following data, find frequencies of () the remaining positive classes, and (i) ultimate classes. N= 1,800, (A) = 850, (B) = 780, (C) = 326. (ABY) = 200, (ABC) = 94, (aBC) = 72, (ABC) = 50. %3D %3D %3D
5. The following data are direct solar intensity measurements (watts/m2) at a location in southern Spain: 562 856 768 898 939 869 655 870 935 955 708 806 918 952 960 775 878 940 957 498 775 909 946 693 653 704 918 661 835 730 809 558 820 905 753 Using class width equals 50, starting with the first class interval of 450-499, tabulate this data in a frequency table. Based on the constructed grouped frequency table, the median may be expressed as 7B Med = a + 8 where a is the lower class boundary of the median class and ß is the width of the class interval. Find 2a + ß
Q. 29 unit 4

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