a) A certain company sends 40% of its overnight mail parcels via express mail service E₁. Of these parcels,2% arrive after the guaranteed delivery time( L - the event late delivery). If a record of overnight mailing israndomly selected from the company's file, what is the probability that the parcel went via E, and was late?Suppose that 50% of the overnight parcels are sent via express mail E, and the remaining 10% are sent viaE3 Of those sent via E₂, only 1% arrive late, whereas 5% of the parcels handled by E, arrive late.b) What is the probability that a randomly selected parcel arrived late?c) If a randomly selected parcel has arrived on time, what is the probability that it was not sent via E₁.

Probability is the likelihood of the occurrence of an event. If an event is the occurrence based on…

Answered: a) A certain company sends 40% of its…

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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A manufacturer of laptops reports that among a shipment of 5000 sent to a local distributor, 1000 are slightly defective. If one purchases 10 of these laptops at random from the distributor, what is the probability that exactly 3 are slightly defective?
One student is selected at random from a group of 200 known to consist of 140 full-time (80 female and 60 male) student and 60 part-time (40 female and 20 male) students. Event A is "the student selected is full-time" and event C is "the student selected is female". (a) Are events A and C independent? (b) Find the probability of one student selected is full-time, that should be female.
Suppose that 55% of all adults regularly consume coffee, 45% regularly consume carbonated soda, and 70% regularly consume at least one of these two products. (a) What is the probability that a randomly selected adult regularly consumes both coffee and soda? (b) What is the probability that a randomly selected adult doesn't regularly consume at least one of these two products?
Suppose that 50% of all adults regularly consume coffee, 40% regularly consume carbonated soda, and 65% regularly consume at least one of these two products. (a) What is the probability that a randomly selected adult regularly consumes both coffee and soda? (b) What is the probability that a randomly selected adult doesn't regularly consume at least one of these two products?
A company sends its products from 3 warehouses, namely from warehouse A=30%, warehouseB=20% and from warehouse C=50%. Based on complaints from customers, it is known thatthe percentage of defective products sent from each warehouse is as follows: A=3% , B= 5% and from warehouse C= 2%.a. Suppose a customer after ordering the product, the next dayComplained that the item was defective. What is the probability that the product receivedthe customer is from warehouse C? b. If another customer who also orders the product and getsthe goods are in good condition, what is the probability that the product received by the customerdoes it come from warehouse A?
Suppose that a bread manufacturing industry has three inspectors to stamp the expiration date on each package of bread. Ken, who stamps 20% of the packages, fails to stamp the expiration date once every 100 packages. Jen, who stamps 60% of the packages, fails to stamp once in every 200 packages. Kat, who stamps 20% of the packages, fails to stamp once in every 150 packages. If a package has no expiration date, what is the probability that it was inspected by Jen? 4/19 6/10 O 6/19 O 9/19
9. When Olympic athletes are tested for illegal drug use (i.e., doping), the result of a single test are used to ban the athlete from competition. In a population of 1,000 athletes, suppose 120 are illegally using testosterone. Of the users, suppose 66 would test positive for testosterone. Of the nonusers, suppose 11 would test positive.(a)Given that the athlete is a nonuser, find the probability that a drug test for testosterone will yield a negative result.(b)If an athlete tests positive for testosterone, find the probability that the athlete is really doping.
Suppose a car rental agency has a fleet of 50 cars, of which 25 are compact cars and 25 are SUVs. If 60% of the compact cars and 80% of the SUVs are currently rented out, what is the probability that a randomly selected rented car from the agency is a compact car? If a rented car is selected at random, what is the probability that it is an SUV?
1. Assume your computer network may have been hacked and computers may have 2 different types of viruses (virus type-A and virus type-B). The current situation shows that 15% of computers end up with type-A virus, 10% end up with type-B virus, and 10% of the computers infected with type-A or type-B virus have both viruses. 1.a) Compute the probability that a computer is infected with both viruses 1.b) Compute the probability that a computer has type-B virus given that it has type-A virus
Suppose that a factory has two machines, Machine A and Machine B, both producing jPhone touch screens. Forty percent of their touch screens come from Machine A and 60% of their touch screens come from Machine B. Ten percent of the touch screens produced by Machine A are defective and five percent of the touch screens from Machine B are defective. If I randomly choose a touch screen from those produced by both machines and find that it is defective, what is the probability that it came from machine A?

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