(1 point) An information technology company produces 41% of its computer chipsat a plant in St. Louis and the remainder of its chips at a plant in Chicago. It is knownthat 1.05% of the chips produced in St. Louis are defective, while 0.8 % of the chipsproduced at the plan in Chicago are defective. What is the probability that arandomly chosen computer chip produced by this company is defective and wasproduced in St. Louis?

Given, The company produces 41% of computer chips at a plat in St. Louis and remainder of its chips…

Answered: (1 point) An information technology…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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An insurance company found that 2.4% of male drivers between the ages of 18 and 25 are involved in serious accidents annually. To simplify the analysis, assume that every such accident costs the insurance company $62,000 and that a driver can only have one of these accidents in a year. Complete parts (a) through (c). (a) If the company charges $2,600 for such coverage, what is the chance that it loses money on a single policy? P(loses money)= .024 (Type an integer or a decimal.) (b) Suppose that the company writes 1,000 such policies to a collection of drivers. What is the probability that the company makes a profit on these policies? Assume that the drivers don't run into each other and behave independently. P(profit) = .976 (Round to five decimal places as needed.)
This problem involves students who have taken Calculus in high school. Assume that 35 percent of students have taken calculus in high school. Of those who have taken calculus in high school, 75 percent plan to major in science. Of those who did not take calculus in high school, only 20 percent plan to major in science. What is the probability that a randomly selected student plans to major in science?
Part C: At the Iron Bank, 62% of customers have checking accounts, 24% have savings accounts, and 17% have both checking and savings accounts. Of the Iron Bank customers who hold checking accounts, what percentage also have a savings account? • Part D: With the same numbers from Part C, what is the probability that an Iron Bank customer has neither a checking account nor a savings account? • Part E: Again with the same numbers from Part C, what proportion of Iron Bank customers have a savings account but not a checking account?
Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?
A group of friends plans to have a picnic in the park, but the weather forecast shows a 60% chance of rain. If three friends decide to go ahead with the picnic regardless of the weather, what is the probability that exactly two of them will get rained on?
An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in a profit of $40,000. If the economy grows at a moderate pace, the investment will result in a profit of $10,000. However, if the economy goes into recession, the investment will result in a loss of $40,000. You contact an economist who believes there is a 20% probability the economy will remain strong, a 70% probability the economy will grow at a moderate pace, and a 10% probability the economy will slip into recession. What is the expected profit from this investment?
A PC manufacturer buys 38% of its chips from Japan, and the rest from the US. Of the Japanese chips, 1.7% are defective; meanwhile, 1.1% of the American chips are defective. Find the probability that a chip is defective.
Two machines turn out all the paper bags produced in the plant. Machine A produces 38% of the bags and machine B produces 62% of the bags. Machine A produces defective bags 1.9% of the time and machine B produces defective bags 3.8% of the time. Given a defective bag, what is the probability that it came from machine B?
A newspaper sports reporter has a 58% accuracy for predicting the winners in NHL hockey games. A radio sports reporter has a 65% accuracy for predicting the winners. For a particular game, what is the probability that at least one of these reporters will make a correct prediction?
Suppose that the prevalence of diabetes in the U.S. is 10% and that the prevalence of cardiovascular disease is 20%. Suppose also that 5% of people in the U.S. have both diabetes and cardiovascular disease. Suppose Jack has diabetes. What is the probability that he also has cardiovascular disease?
An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in a profit of $40,000. If the economy grows at a moderate pace, the investment will result in a profit of $20,000. However, if the economy goes into recession, the investment will result in a loss of $40,000. You contact an economist who believes there is a 20% probability the economy will remain strong, a 70% probability the economy will grow at a moderate pace, and a 10% probability the economy will slip into recession. What is the expected profit from this investment?

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