a. Ecobank Ghana has recently examined the credit card account balances of its customers andfound that 20% have an outstanding balance at the credit card limit. Suppose the manager ofthe credit card division randomly selects 15 customers. Assume that the properties of thebinomial distribution apply.i. What is the probability of finding exactly 1 customer in the sample with outstanding balance atthe credit card limit?ii. What is the probability that not more than 1 customer in the sample will have balances at thelimit of the credit card?iii. What is the probability that exactly 10 of the customers in the sample will have balancesbelow the credit card? (5b. Arrivals to a bank automated teller machine (ATM) are distributed according to a Poissondistribution with a mean equal to three per 15 minutes.i. Find the probability that in a given 15-minute segment no customers will arrive at the ATM.Note: e 2.71828.todii. Find the probability that in a given 45-minute segment exactly 8 customers will arrive at theATM. (Note: e 2.71828iii. Find the probability that fewer than 2 customers will arrive in a 30-minute segment.

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Answered: a. Ecobank Ghana has recently examined…

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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Suppose a shipment of 160 electronic components contains 3 defective components. To determine whether the shipment should be accepted, a quality-control engineer randomly selects 3 of the components and tests them. If 1 or more of the components is defective, the shipment is rejected. What is the probability that the shipment is rejected? round to 4 decimals places as needed
1. Of all freshman at a Snow college, 16% made the dean's list in the current year. As part of a class project, students randomly sample 40 freshman and check if those students made the list. Calculate the probability your sample has more than 8 students from the dean's list. Check conditions (if one doesn't check out, note your concern and continue anyway), describe sampling distribution, state probability.
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Twelve doctors work at a clinic, of which 3 were trained at Harvard Medical School. Four doctors are randomly selected from the 12 clinic doctors to attend a special conference. A. What is the probability that at least one of the doctors going to the conference is a Harvard Medical graduate? B. Find the standard deviation for the number of doctors out of the 4 that were trained at Harvard Medical School.
A manufacturing machine has a 5% defect rate. If 10 items are chosen at random, what is the probability that at least one will have a defect?
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