75% of the products produced in a factory are first class products, the rest are ofsecond class. Later all products are double checked. The probability that a first classproduct is evaluated as a second class one is 0.02, while the probability that a secondclass product is found to be a first class one is 0.05. Find the probability that a productevaluated as a first class product is really a first class one.

When one event depends on another event, we use conditional probability. Here, the probability of…

Answered: 75% of the products produced in a…

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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There was a baseball game between Oscar and Gabe. The chance of Oscar winning is 3/5 (60%). The chance of Gabe winning is 2/5 (40%). This game wasn't a one game competition. It's the best of 5 series. This means the first person to win 3 games is the overall champion. What's the probability (% is best) that Oscar is the champion? Don't answer this question as Oscar with a 60% chance and Gabe as a 40% chance. Also, don’t use the equation for finding multiple events for probability.
On the first day of music class, students submitted a survey. One survey question asked students to report which music genre they prefer. Another question asked students how frequently they sing in the shower. The probability that a student prefers metal is 0.7, the probability that a student sings in the shower 1-2 times a week is 0.4 and the probability that a student prefers metal and sings in the shower 1-2 times a week is 0.3. What is the probability that a randomly chosen student prefers metal or sings in the shower 1-2 times a week?
At a local high school, 15% of the students have blue eyes. Each day, 9% of the blue-eyed students wear sunglasses on their way to school, while only 2% of the students with non-blue eyes wear sunglasses. Find the probability that a randomly selected student has blue eyes given that they wore sunglasses on their way to school.
The probability that a certain plant will survive in the month of July is 2/5, and the probability that it will still live up to August is 4/11. Find the probability that this plant will still alive in August.
The Chunky-Wunky Candle Company ships candles all over the world. The probability that a candle is broken during shipment is 3%. In a shipment of 3 candles, what is The probability that all three are broken. The probability that none of the candles are broken. The probability that the first candle unpacked is not broken and the rest are broken.
You are interested in the number of people that will visit your restaurant in the noon hour. Historically, there is a 10% chance that more than 10 customers will visit, a 30% chance that more than 8 customers will visit, a 50% chance that more than 6 customers will visit, a 80% chance that more than 4 customers will visit, and a 95% chance that at least 2 customers will visit during the noon hour. What is the probability that 4 or less customers will visit the restaurant -- the number required to break even financially for the day?Express your answer as a percent value. So if your answer is 100% for example, enter 100. Round your answer to the nearest percent.
Money bills are frequently printed with defects. The probability that a bill's front side has a defect is 2 percent, the probability that a bill's back side has a defect is 4 percent, and the probability that a bill has defects on both sides is 1 percent. What is the probability that a bill will have a defect on the front, given that it has a defect on its back?
If a seed is planted, it has a 80% chance of growing into a healthy plant. If 6 seeds are planted, what is the probability that exactly 2 don't grow?
A vase contains purple, pink and yellow flowers. You and a friend are both allowed to choose one flower each from the vase to take home. You choose a flower first and then your friend chooses a flower. The probability that you choose a purple flower and then your friend chooses a yellow flower is 0.629. The probability your friend picks a yellow flower after you choose a purple is 0.85. The probability, to the nearest hundredth, that you choose a purple flower is A
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?
Machines A and B produce 40% and 60% respectively of the production of a component intended for the motor industry. The probability that machine A produces a defective component is 0.05 while the probability that machine B produces a defective component is 0.09.D. If a component is selected at random and is found to be not defective, find the probability that it was made by machine B.E. What is the probability to find a component that is not defective and it was made by machine A?F. What is the probability to find a component that is not defective and it was made by machine B?
Miss 'X' is fond of seeing films. The probability that she sees a film on the day before the test is 0.7. Miss X is any way good at studies. The probability that she maxes the test is 0.3 if she sees the film on the day before the test and the corresponding probability is 0.8 if she does not see the film. If Miss 'X' maxed the test, find the probability that she saw the film on the day before the test.

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