People enter a line for the Demon Roller Coaster at the rate of 4 per minute The following formula from probability can be used to determine the probability that x people will arrive within the next minute where (a) Determine the probability that x 5 people will arrive within the next minute (b) Determine the probability that x 8 people will arrive within the next minute P(x) 4 e 4 x

Question: People enter a line for the Demon Roller Coaster at the rate of 4 per minute. The following formula from probability can be used to

People enter a line for the Demon Roller Coaster at the rate of 4 per minute. The following formula from probability can be used to determine the probability that x people will arrive within the next minute.

4*e 4 Р(х) х!

where

x! = x• (x – 1)·(x – 2) …3·2·1 3.2.1

(a) Determine the probability that x = 5 people will arrive within the next minute.

(b) Determine the probability that x = 8 people will arrive within the next minute.

P(x) = 4*e-4 x!

Step by Step Solution

★★★★★

3.31 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The probability that 5 people ... 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 Precalculus Questions!

The data represent the time spent waiting in line (in minutes) for the Demon Roller Coaster for 100 randomly selected riders. Retrieve the data 7_3_13 at www.pearsonhighered.com/sullivanstats using...

Between 12:00 PM and 1:00 PM , cars arrive at Citibanks drive-thru at the rate of 6 cars per hour (0.1 car per minute). The following formula from probability can be used to determine the probability...

Between 5:00 PM and 6:00 PM, cars arrive at McDonald's drive-thru at the rate of 20 cars per hour. The following formula from probability can be used to determine the probability that x cars will...

Consider the situation faced in the 1990s by Carolina Distributors, a Fortune 500 distributor of medical and surgical supplies. Sales had more than tripled in five years (325%) to nearly $3 billion....

Q 1 2 3 4 5 6 7 8 9 10 Answe r Q 11 1 21 31 41 51 61 71 81 92 0 Answe r Q Answe r 2 12 22 32 42 52 62 72 82 93 0 Q 3 13 23 33 43 53 63 73 83 94 0 1 Answe r Q 4 14 24 34 44 54 64 74 84 95 0 Answer Use...

MBA 610 - Exam 1 This is a take-home exam, containing 50 questions, each worth 2 points (total of 100 points). You may use your book, notes, calculator, Excel, and other resources such as videos and...

1. In a binomial situation, n = 4and p = 0.18.Determine the probabilities of the following events using the binomial formula. (Round the final answers to 4 decimal places.) a. x = 2 Probability= b. x...

The goal of this activity is to create a program that displays someone's name, age, and gendercalculating for age in minutes and centuries and determining maximum heart rate based upon age and...

23) A pharmaceutical company operates retail pharmacies in 10 eastern states. Recently, the company's internal audit department selected a random sample of n= 300 prescriptions issued throughout the...

Question 1 Which of the following statements is correct? We use parameters to estimate the value of statistics. Parameters describe sample characteristics. We use statistics to estimate the value of...

DESIGN THE FOLLOWING STRUCTURE ELEMENTS (C1 & B2 & S4) USING EUROCODE NOTE:- 1-BEAM DIMENSION =300 * 500 MM 2-COLUMN DIMENSION =350 * 400 MM 3-SLAB IS CANTILEVER 4-FLOOR HEIGHT = 3.60 1.9400 C 1 S4...

After shuffling a deck of 52 cards, a dealer out 7 cards. Let X be the number of suits represented in the seven-card hand. Tabulate the probability mass function of X. compute , 2 , and

Basinesies typically have mary systems, some internally developed, some purchanied, and others acpuired. Bushesses want these sectems to - cemmenteate with one another and provile uners with easier...

7 What's Wrong with This Way of Thinking? "Public policy is necessary to protect the average c1t1zen from the power of vested interest groups. In the absence of government intervention, regulated...

In Problems 1322, for the given functions f and g, find: f(x) 3 x + 1' g(x) = x

Simplify log a (MN) = _____+_____.

The data in the table below represent the number of dairy farms (in thousands) and the amount of milk produced (in billions of pounds) in the United States for various years. (a) Using a graphing...

Valuation Methodologies ABC, Inc., is an unlevered venture that reached its mature life-cycle stage. ABC is expecting earnings before taxes of $30 million in perpetuity. The required return of the...

Row Canonical Form 2 4 5.) 2 4 5 6.) 1 2 -5 13 5 6 3Consider the pulse-transfer-function system won z '(1 + 2-1) G(z) = (1 + 0.5z-1)(1 - 0.5z-1) Referring to Section 6-4, obtain the state-space...

You have been offered a job with an unusual bonus structure. As long as you stay with the firm , you will get an extra$ 7 3 , 0 0 0 every 7 years , starting 7 years from now. What is the present...