Ans:
X=number of arrivals per minute
Average rate of arrival=3 customers per min
So,
Expected value of X=3
Correct option is 3.
connect Wk3 - Apply: Week 3 Connect Bercise Question of 10) 8. 10.00 points Consider a Poisson distribution with an...
QUESTION 9 Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store. If X = the number of arrivals per minute, find the expected value of X. 1.7 3 1.5 9
.. Aowy WooComment * E connect Wk. 3. Apply Week 3 Connect Bercise Instructions help O . B Save & Ext Some 10.00 pores A survey is made in a neborhood of 65 are Democrats and 15 republic randomly selected find the probably the individualismale Republica Democ r ew whes of the Republican women one subject from the group is 500 ооооо 16 Type here to search e 18 DELL
3 - Apply: Week 3 Connect Exercise Question 6 (of 10) value: 10.00 points For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find AX $ 1). O 0870 2592 0778 O 3370 O Type here to search
3- Apply: Week 3 Connect Exercise Question 9 (of 10) value: 10.00 points A letter is drawn from the alphabet of 26 letters. What is the probability that the letter drawn is a vowel? 05/26 01/26 4/26 O 2126
U CLUJUULUURL.COM/m.lox connect FINANCE onnect 6 Question 2 (of 10) value: 10.00 points Consider the following table for a seven-year period: Year VOUDWN- Returns U.S. Treasury Bills 4.00% 3.85 4.75 5.17 297 1 85 1.58 Inflation -1 26% -240 -1.30 72 -6.54 -9.46 -1.41 What was the average real return for Treasury bills for this time period? (Do not round inte Average real return References eBook & Resources Type here to search
PSTAT 109-W19 Week 3 Poisson Random Variable Question 1 O DA telephone operator on average handles 5 calls every 3 minutes. Assume the number of calls per minute follow a Poisson distribution with pdf Not yet answered Points out of 00.00 (x) for 0,1,2.,... rse-5/3 (5/3)r Calculate the probability the operator will receive no calls in the next minute. Round answer to 0.0001 and P Flag questionleave in decimal form. d Answer Finish attempt
3 Connect Exercise Question 10 of 10) 10.00 points The probability of event A occurring given that event has already occurred is 061. The probability of both events occurring is 0.5 What is the probability of event Boccurring? O 0.305 O 0195 0.390 O 0.820 0.500 AG ype here to search
Customers arrive at a store randomly, following a Poisson distribution at an average rate of 20 per hour. What is the probability of exactly 3 arrivals in a 12 minute period?
Problem 8: 10 points Consider a queuing system M/M/1 with one server. Customer arrivals form a Poisson process with the intensity A 15 per hour. Service times are exponentially distributed with the expectation3 minutes Assume that the number of customers at t-0, has the stationary distribution. 1. Find the average queue length, (L) 2. What is the expected waiting time, (W), for a customer? 3. Determine the expected number of customers that have completed their services within the 8-hour shift
3. (40 points) Tom finds coins at a Poisson rate. The Poisson rate A varies by hour. The distribution of X is geometric with mean 10 per hour. (b) Determine the expected value and variance of the number of coins that Tom finds in an hour For the expected value, apply the double expectation formul. EN-E E N For the variance, apply the law of total variance: Varl»-EVmWlA)(+Var'ENAy, You could find a proof of the law of total variance formuls...