Question: Use the Poisson Distribution Formula to find the indicated probability: Last winter, the number of potholes that appeared on a 9.0-mile stretch of a particular

Use the Poisson Distribution Formula to find the indicated probability: Last winter, the number of potholes that appeared on a 9.0-mile stretch of a particular road followed a Poisson distribution with a mean of 34.5. Find the probability that exactly six potholes can be found on any mile-and-a-half portion of this road.

Step by Step Solution

★★★★★

3.43 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To solve this problem we need to use the Poisson distribution formula to find the probability of a c... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Use the Poisson Distribution Formula to find the indicated probability. For a certain type of fabric, the average number of defects in each square foot of fabric is 4.4. Find the probability that a...

Last winter, the number of potholes that appeared on a 5.4-mile stretch of a particular road followed a Poisson distribution with a mean of 29.0. Find the probability that exactly six potholes can be...

On average, there are 12 potholes per mile on a particular stretch of the state highway. Suppose the potholes are distributed evenly on the highway. a. Find the probability of finding fewer than two...

The goal of the case studies is to improve your ability to think about a complex scenario, and write a short and concise analysis of this situation - no more than 1 page, single spaced, Times New...

1. Calculate the Poisson distribution whose (Average Rate of Success)) is 3 & X (Poisson Random Variable) is 6. 2. Customers arrive at a checkout counter according to a Poisson distribution at an...

IOE 419 Mark S. Daskin Service Operations Management IOE Department Winter, 2017 University of Michigan Problem set 4 DUE: MONDAY - February 20, 2017 Points: 100 points total Problem 1: Babette has...

The number of traffic accidents that occur on a particular stretch of road during a month follows a Poisson distribution with a mean of 7.6. Find the probability that less than three accidents will...

Lecture Notes DL MGT 5100 - Distribution Management Spring 2017 1.0. Day one, Monday, Monday, 9 Jan 17 1.1. Reading Assignments: Chapters 1 and 2 1.1.1. I intend to follow the book so as to provide a...

Can you explain steps on how to achieve a layout similar to the one displayed in photo? Create a pivot table showing the total gross sales in each store for each fiscal quarter which looks like:...

The common stock of Edna Mode Fashions has a beta of 1.4 and a standard deviation of 16.6 percent. The market rate of return is 8 percent and the risk-free rate is 4 percent. Using the Capital Asset...

the substitution u = 7 x 2 - 1 to find the following indefinite integral. Check your answer by differentiation. - 1 4 x s i n ( 7 x 2 - 1 ) d x - 1 4 x s i n ( 7 x 2 - 1 ) d x =

Two conducting spheres with diameters of 0.400 m and 1.00 m are separated by a distance that is large compared with the diameters. The spheres are connected by a thin wire and are charged to 7.00 %C....

If intangibles are acquired for stock, how is the cost of the intangible determined?

A block of ice with mass 2.00 kg slides 0.750 m down an inclined plane that slopes downward at an angle of 36.9 below the horizontal. If the block of ice starts from rest, what is its final speed?...

The following information relates to Starbucks for 2007: net income $672.638 million; unrealized holding loss of $20.380 million related to available-for-sale securities during the year; accumulated...

A concerned citizen provides resources and establishes a trust with the local government. What factors should be considered in determining which fund to report the trust activities? Discuss.

2 CS-281R Hand writing. Assignment 2-100 points 1. Draw the 16-to-1 Multiplexer using two 8-to-1 Multiplexers and one 2-to-1 Multiplexer with the truth table. 2. Draw the 16-to-1 Multiplexer using...

a. To find the probability that during the next hour exactly 6 patients will be admitted, we can use the Poisson distribution formula: P(X = k) = (e^(-) * ^k) / k! Where: - (lambda) is the average...

1. A slot machine at a hotel casino is programmed so that there is a 0.21 probability of winning the jackpot on any individual trial. If a guest plays the slot machine 10 times, find the probability...

When the number oftrials, n, is large, binomial probability tables may not be available. Furthermore, if a computer is not available, hand calculations will be tedious. As an alternative, the Poisson...

1. A retail store has implemented procedures aimed at reducing the number of bad checks cashed by its cashiers. The store's goal is to cash no more than eight bad checks per week. The average number...

I can't wait to rate!!!!! Since computer A's address isn't already in the table, the switch will record the address of computer A. Since Computer B's address in not in the table, the switch will...

i do not understand this problems on the study guide..help is needed student : M 204 F18 TS 3 2 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question....