You may need to use the appropriate technology to answer this question.Emergency 911 calls to a small municipality in Idaho come in at the rate of one every four minutes. Assume that the number of 911 calls is a random variable that can bedescribed by the Poisson distribution.(a) What is the expected number of 911 calls in 1 hour?15(b) What is the probability of three 911 calls in 5 minutes? (Round your answer to four decimal places.)x(c) What is the probability of no 911 calls in a 5-minute period? (Round your answer to four decimal places.)x

Given:Emergency calls rate = one every four minutesλ=41 per min.b. Probability of three 911 calls…

Answered: You may need to use the appropriate…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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You may need to use the appropriate appendix table or technology to answer this question. Shoppers enter a mall at an average of 360 per hour. (Round your answers to four decimal places.) (a) What is the probability that exactly 15 shoppers will enter the mall between noon and 12:05 p.m.? 0.0010 (b) What is the probability that at least 70 shoppers will enter the mall between 5:00 and 5:10 p.m.? 0.0985 X
You work at a mechanic shop. On average, 10 cars come into your shop each day. Assuming a poisson distribution, what is the probability 4 cars come into the shop? Round to 4 decimal points.
using 'standard Normal Table ' , calculate the following probabilities. 1. Pr(z < -1.12) 2. Pr(z >2.32) 3.pr(1.22 < z >2.53) 4.pr(-3.22 < z < 0.22) 5.pr(-2.36 < z < -0.50)
The probability distribution for the number of automobiles sold during a day (x) at Bob Iron Motors isas follows. x f(x) 0 0.001 1 0.007 2 0.034 3 0.099 4 0.188 5 6 0.220 7 0.136 8 0.055 9 0.015 10 0.001 17 The probability that 5 automobiles will be sold is,a 0.232b 0.244c 0.257d 0.271
a. A company produces lightbulbs whose life follows a normal distribution, with mean 1200 hours and standard deviation 250 hours. If we choose a lightbulb at random, what is the probability that its lifetime will be between 900 and 1300 hours? (answer in three decimal places)
Customers arrive at an ATM at the rate of 3 per minute. The arrival rate follows a Poisson distribution. Find the probability that at least 90 seconds will elapse before the arrival of the next customer.
QUESTION 11 ABC Store's data of the past 500 days shows that the online daily sales of a cooking pot of a special brand was between ten and eighteen pots. If of the 500 days, there were 100 days with daily sale of 15 pots, then what is the probability that the daily sale is 15 pots? (Put your result in a decimal number. Keep 3 digits after the decimal points.)
A store sells from 0 to 12 computers per day. Is the amount of daily computer sales a discrete or continuous random variable?
The promoter of a football game is concerned that it will rain. She has the option of spending $14,040 on insurance that will pay $39,000 if it rains. She estimates that the revenue from the game will be $65,040 if it does not rain and $30,040 if it does rain. What must the chance of rain be if buying the policy has the same expected return as not buying it? Write expressions showing the expected returns if the promoter does and does not purchase the insurance, using p to represent the probability of rain. Without insurance, E(return) = With insurance, E(return) = The chance of rain must be _%.
a) Grace Floral Shop sells several types of roses for all occasions. It is known that 43% of the roses that is sold by Grace Floral Shop are Eden Roses. 12 roses are ordered to put in a bouquet (i) Define the random variable for this situation and list its values (ii) Stating its parameter(s), what is the probability distribution of this variable? (iii)State the conditions that influence your choice of distribution. (iv)Calculate the probability that at most 2 of the roses were Eden Roses. b) The number of telephone calls coming into Grace Floral Shop to place orders averages 3 per minute. (i) Define the random variable in this situation and list its values. (ii) Stating its parameter(s), what is the probability distribution of this variable? (iii)Compute the probability that 5 calls will arrive per minute. (iv)Compute the probability that 3 or more calls will arrive in a 3-minute interval?
5.100 Tossing a die. You are tossing a balanced die that has probability 1/6 of coming up 1 on each toss. Tosses are independent. We are interested in how long we must wait to get the first 1. (a) The probability of a 1 on the first toss is 1/6. What is the probability that the first toss is not a 1 and the second toss is a 1? (b) What is the probability that the first two tosses are not 1s and the third toss is a 1? This is the probability that the first 1 occurs on the third toss. 4 (c) Now you see the pattern. What is the probability that the first 1 occurs on the fourth toss? On the fifth toss?
Find the probability of rolling a standard 6-sided die 23 times and getting 10 or more twos. Select an answer Enter a decimal rounded to four places as needed.

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