A large company has an inspection system for the batches of small compressors purchased from vendors. A batch typically contains 15 compressors. Past inspection shows that 3% are faulty. (i) What is the probability that there will be exactly 2 faulty compressor from the batch? (ii) How many faulty compressors are from 10 batches?

A large company has an inspection system for the batches of small compressors purchased from vendors. A batch typically contains 15 compressors. Past inspection shows that 3% are faulty. (i) What is the probability that there will be exactly 2 faulty compressor from the batch? (ii) How many faulty compressors are from 10 batches?

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

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. Click the icon to view the data on business degrees. (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.) (b) Find the probability that a randomly selected student received a business degree, given that the student is female. The probability that a randomly selected student received a business degree, given that the student is female, is (Round to three decimal places as needed.) Business graduates Business degrees Nonbusiness degrees Total Male 192,167 616,454 808,621 1,056,907 1,865,528 Female 173,249 883,658 Total 365,416 1,500,112
Assume it was determined from a random sample of customers that the probability of buying cake is 40%; the probability of buying ice cream is 62%; and the probability of buying cake or ice cream is 86%. What is the probability of buying chocolate ice cream and frozen yogurt? (Round your answer to 2 decimals)
Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
The probability that a randomly chosen sales prospect will make a purchase is 20%. What is the probability (to three decimal places) that the salesperson will make four or more sales if six sales calls are made on a given day?
Suppose 58% of the children in a school are girls. If a sample of 425 children is selected, what is the probability that the sample proportion of girls will be greater than 63%? Round your answer to four decimal places.
Q1. It is reported that the percentage of people in a small village that have health insurance is 80%. If 17 people are randomly selected, the find the following (a) The probability that 7 of them have health insurance. (b) The probability that at least 10 have health insurance.
Suppose 49% of the registered voters in a country are Republican. If a sample of 701 voters is selected, what is the probability that the sample proportion of Republicans will differ from the population proportion by greater than 4%? Round your answer to four decimal places.
A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive) Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. a. Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. b. Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.
If the probability that an individual will suffer a bad reaction to a given vaccine is 0.13. Determine the probability that out of 4 individuals, none will suffer a bad reaction. [The answer should be a number rounded to five decimal places, don't use symbols such as %]
Suppose 59% of the students in a university are baseball players. If a sample of 632 students is selected, what is the probability that the sample proportion of baseball players will be greater than 63%? Round your answer to four decimal places.
Nissa is randomly pulling the medical records of a hospital's patients and collecting the records of those who have multiple stays at this hospital. Assume that 27% of all patients who have ever stayed at this hospital have multiple stays. What is the probability that the first multiple stays patient record that Nissa comes across is the fourth one she pulls? Use a TI-83, TI-83 Plus, or TI-84 calculator to find the probability. • Round your answer to three decimal places.
a. What is the probability of seeing positive change? b. What is the probability of seeing positive change given that the tree is oak? c. Do the data suggest effect and tree type are independent events? yes or no