The effect of cloud seeding on suppression of damaging hail is being studied in your area by randomly seeding or not seeding equal numbers of candidate storms. Suppose the probability of damaging hail from a seeded storm is 0.10, and the probability of damaging hail from an unseeded storm is 0.40. If one of the candidate storms has just produced damaging hail, what is the probability that it was seeded

The effect of cloud seeding on suppression of damaging hail is being studied in your area by randomly seeding or not seeding equal numbers of candidate storms. Suppose the probability of damaging hail from a seeded storm is 0.10, and the probability of damaging hail from an unseeded storm is 0.40. If one of the candidate storms has just produced damaging hail, what is the probability that it was seeded

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...

See similar textbooks

Similar questions

A company has 3 factories (factory 1, factory 2 and factory 3) that manufacture the same chip. Each produces 15%, 35% and 50% of the total production. The probability that the manufacturing chip is defective from factories 1,2 and 3 are 0.01, 0.05, and 0.02, respectively. Suppose then that someone finds a manufacturing defect in the chip, what is the probability that the defective chip came from factory 1?
In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and 2500 smokers of more than one pack per day. During any month, there is a 6% probability that a nonsmoker will begin smoking a pack or less per day, and a 4% probability that a nonsmoker will begin smoking more than a pack per day. For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a 10% probability of increasing to more than a pack per day. For smokers who smoke more than a pack per day, there is an 8% probability of quitting and a 10% probability of dropping to a pack or less per day. How many people will be in each group in 1 month, in 2 months, and in 1 year? (Round your answers to the nearest whole number.) (a) in 1 month nonsmokers people 1 pack/day or less people more than 1 pack/day people (b) in 2 months nonsmokers people 1 pack/day or less people more than 1 pack/day…
The patients were grouped in 4 categories: one for each drug, and a control group. The patients in the control group were not given any drug to treat the disease. The following table shows the results of the study: Suppose we randomly select a patient from this study, 1. If you know that the patient we selected was cured in less than three months, what is the probability that she was treated with drug 1? 2. What is the probability that the patient was treated with any of the drugs and was cured between 6 and 12 months from the start of the treatment?
What is the expected value for the number of defective LCDs3 10 2) 0.1 3) 0.45 4) 0.5 5) 0.9 06) 1
In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and 2500 smokers of more than one pack per day. During any month, there is a 5% probability that a nonsmoker will begin smoking a pack or less per day, and a 4% probability that a nonsmoker will begin smoking more than a pack per day. For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a 10% probability of increasing to more than a pack per day. For smokers who smoke more than a pack per day, there is a 7% probability of quitting and a 10% probability of dropping to a pack or less per day. How many people will be in each group in 1 month?
An Insurance company study shows that 70% of the auto insurance claims submitted for property damage were submitted by males user 25 years of age. Suppose 6 property damage claims involving automobiles are selected at random. Let X be the number of claims (among 6 the selected) that are made by males under age 25. Question 1 Find the probability that all 6 claims are made by males under age 25.
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)
Bryan is performing data entry for an insurance company by taking handwritten records and entering them into the database. Thus far, 15.6% of the handwritten records have had missing data that prevented them from being entered into the database. If Bryan takes 10 handwritten records, what is the probability that at most three records will be incomplete?
A web server's visit always comes from five sites. The percentages of known visits from sites 1, 2, 3, 4 and 5 are 20%, 30%, 15%, 10% and 25% respectively. The probability of visits from five sites lasting more than 2 minutes is 0.4, 0.6, 0.8, 0.2 and 0.9 respectively. Now randomly select a visit. What is the probability that the visit lasts more than 2 minutes? If the selected visit last more than 2 minutes, which sites does it most likely come from?
The genotype of an organism can be either normal (wild type, W) or mutant (M). Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring.
A pharmaceutical company is running trials on a new test for anabolic steroids. The company uses the test on 400 athletes known to be using steroids and 200 athletes known not to be using steroids. Of those using steroids, the new test is positive for 375 and negative for 25. Of those not using steroids, the test is positive for 25 and negative for 175. What is the relative frequency of a false negative result (the probability that an athlete using steroids will test negative)? (Round your answer to two decimal places.) What is the relative frequency of a false positive result (the probability that an athlete not using steroids will test positive)? (Round your answer to two decimal places.)
Question 2: You are appointed as a quality engineer in a telecommunication company. Your manager asks you to enhance the company quality of service, by increasing the success rate for customers to get hold of tech support representatives. Assume that customers will call three times is an attempt to ask for tech support then give up. You want to make sure that you are able to serve at least 97% of the people who ask for tech support. Let p be the probability that a caller get hold of a tech support representative. What is the minimum value of p necessary to meet your goal?