M Inbox (4,00 ← → C ☑ WeBWorK ✓ WeBWorK WEBWORK Billing Infor WeBWorK WeBWorK × b My Questio ☑ Men's Run × WeBWorK ChatGPT ✓ webwork.ucalgary.ca/webwork2/W2024STAT213L02L04/Assignment_4/11/?effective User=30231227 WeBWorK / W2024STAT213L02L04/ Assignment 4 / 11 MAIN MENU Courses Homework Sets Assignment 4 Problem 11 User Settings MAA MATHEMATICAL ASSOCIATION OF AMERICA Previous Problem Problem List Next Problem Assignment 4: Problem 11 (1 point) Grades Problem 1 ✓ Problem 2 ✓ Problem 3 x Problem 4 ✓ Problem 5 ✓ Problem 6 ... Problem 7 Problem 8 ... Problem 9 Problem 10 Problems The number of customers entering a 24-hour convenience store every 10 minutes can be modeled by the Poisson distribution with a mean of λ = 4.8 customers. You are to look at the amount of time passing between successive customers entering the convenience store, represented by X. (a) How many minutes can you expect to pass between successive customers entering the convenience store? (use at least two decimals in your answer) (b) Compute the probability at most 2.5 minute(s) will pass between the arrival of one customer and the next customer. Enter your answer using four decimals. P(X ≤ 2.5) (c) Find the probability that at least 1.25 to at most 2.75 minutes pass between the entry of two customers in the store. Use four decimals in your answer. P(1.25 ≤ X ≤2.75) = (d) At least 1 minute(s) has/have passed since the last customer entered the store. What is the probability that, in total, at least 3.5 minutes will pass until the next customer enters this store? Use four decimals in your answer. Problem 11 Problem 12 Problem 13 (use four decimals in your answer) Preview My Answers Submit Answers You have attempted this problem 0 times. You have 5 attempts remaining. Page generated at 03/11/2024 at 10:48pm MDT WeBWorK © 1996-2022 | theme: math4 | ww_version: 2.17 | pg_version 2.17 | The WeBWorK Project Finish update: Logged in as Musa CHEEMA. Log Out [+>
The number of customers entering a 24-hour convenience store every 10 minutes can be modeled by the Poisson distribution with a mean of �=4.8 customers. You are to look at the amount of time passing between successive customers entering the convenience store, represented by �.
(a) How many minutes can you expect to pass between successive customers entering the convenience store?
(use at least two decimals in your answer)
(b) Compute the
�(�≤2.5)=
(c) Find the probability that at least 1.25 to at most 2.75 minutes pass between the entry of two customers in the store. Use four decimals in your answer.
�(1.25≤�≤2.75)=
(d) At least 1 minute(s) has/have passed since the last customer entered the store. What is the probability that, in total, at least 3.5 minutes will pass until the next customer enters this store? Use four decimals in your answer.
(use four decimals in your answer)
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