A bank manager sees an average of 5.4 new clients in her office every day. If the clientsarrive at random throughout the day, determine the probability that she will see 3clients in her office in the first half of the day today.Analyze the given scenario and complete the following:a. Determine which probability distribution should be used to model the scenario.O HypergeometricGeometricO PoissonKSUBMIT QUESTIONSAVE PROGRESSSUBMIT A b. Calculate the probability of the indicated event.P(x)=Round to 3 significant digitsc. Determine the expected value and variance of the random variable.E(X)=AVariance =Round to 3 significant digits←8SUBMIT QUESTIONSAVE PROGRESS

Answered: A bank manager sees an average of 5.4…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In an election, suppose that 65% of voters support creating a new fire district. If we poll 220 of these voters at random, the probability distribution for the proportion of the polled voters that support creating a new fire district can be modeled by the normal distibution pictured below. Complete the boxes accurate to two decimal places.
A manufacturer of clothing knows that the probability of a snap flaw is 0.002. An inspector examines 70 shirts in an hour, each with 6 snaps. Using a Poisson probability model, what is the probability she finds no snap flaws? The probability the inspector finds no snap flaws is. (Round to three decimal places as needed.)
Suppose you model a game of chance with a discrete probability distribution. Let X be the net amount of money or lost by the player. Let pX be the probability of the corresponding outcome. The three events are as follows: There is a 23% chance the player wins 7 dollars. there is a 38% chance the player loses 4 dollars. there is a 39% chance the player breaks even. COMPLETE THE TABLE BELOW TO MODEL THE SCENARIO X PX)
The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.10. Each student does homework independently. In a statistics class of 50 students, what is the probability that at least 5 will do their homework on time?
QUESTION 2 a) Based on the past data, 8% of customers will order a dessert with the meal at a noodle's restaurant. 14% of them will order a bottled beverage. i. What is the probability that a customer will order both a dessert and a bottled average? (2 marks) ii. The customers have ordered a dessert with the meal. Calculate the probability that he or she will order a bottled beverage. (2 marks) b) The Graduate Management Admission Test (GMAT) is a requirement for all applicants of MBA programs. A variety of preparatory courses are designed to help applicants improve their GMAT scores, which range from 200 to 800. Suppose that a survey of MBA students reveals that among GMAT scorers at least 650, 72% took a preparatory course; whereas among GMAT scores of less than 650 only 31% took a preparatory course. The probability for an applicant to score at least 650 is 30%. Suppose he was not taking the preparatory course. What is his probability of achieving 650 or more for GMAT score? (5…
Despite all efforts by the quality control department, the fabric made at benton corporation always contains a few defects. A certain type of fabric made at this corporation contains an average of 0.51 defects per 500 yards. Using the Poisson formula, find the probability that the number of defects in a given 500-yard piece of this fabric will be between two and four.P(between 2 and 4) =
When two dice are rolled, what is the probability that the minimum value is 2? Answer to the nearest 0.01.
Suppose that the number of traffic accident claims received in a month is modeled by Poisson distribution with intensity λ = 4. Assume that each traffic accident claim takes values $150, $300 or $450 equally likely. Calculate the probability that the total traffic accident claim amounts to exactly $1500.
Consider a Poisson distribution with an average of 4 customers per minute at the local grocery store. If X = the number of arrivals per minute:Find the probability of 8 customers or less arriving within a minute. Find the probability of more than 7 customers arriving within a minute. Find the probability of 3 customers arriving within a minute.
The probability that a customer will use a stolen credit card to make a purchase at a certain Target store is .003. If 400 purchases are made in a given day, what is the approximate Poisson probability that 4 or fewer will be with stolen cards? A- 0.99 B- 0.89 C- 0.79 D- 0.46
Be a cafeteria with only one attendant. The rate of customer arrivals follows a Poisson process with an average of 10 customers per hour. The service time is exponentially distributed with an average time of 4 minutes. What is the probability of forming a queue, the average queue length and the average waiting time in the queue?
The random variable x represents the number of emails a student receives on a day. Assume it has a Poisson distribution with a mean of 14.3 emails. Find the probability that in a random day the student receives 3 emails. Round your answer to four decimal places.

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