During a manufacturing process 15 units are randomly selected each day from the production line to check the percent defective. From historical information it is known thatthe probability of a defective unit is 0.05. Any time that two or more defectives are foundin the sample of 15, the process is stopped. This procedure is used to provide a signal incase the probability of a defective has increased. (a) What is the probability that on any given day the production process will be stopped? (Assume 5% defective.) (b) Suppose that the probability of a defective has increased to 0.07. What is the probability that on any given day the production process will not be stopped?

During a manufacturing process 15 units are randomly selected each day from the production line to check the percent defective. From historical information it is known thatthe probability of a defective unit is 0.05. Any time that two or more defectives are foundin the sample of 15, the process is stopped. This procedure is used to provide a signal incase the probability of a defective has increased. (a) What is the probability that on any given day the production process will be stopped? (Assume 5% defective.) (b) Suppose that the probability of a defective has increased to 0.07. What is the probability that on any given day the production process will not be stopped?

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.)
A local bakary has determined a probability distribution for the number of cheesecakes that they sell in a given day. X= #sold 10 15 20 Probability 0.28 0.36 0.03...? 0.07 What is the probability of selling 15 cheesecakes in a given day? What is the probability of selling at least 10 cheesecakes? What is the probability of selling 5 or 15 chassescakes? What is the peobaility of selling 25 cheesecakes? Give the expected number of cheesecakes sold in a day using the discrete probability distribution? What is the probability of selling at most 10 cheesecakes?
The following frequency table summarizes how many animals are surrendered to a local animal shelter daily. Dogs 6 Cats 13 Rabbits 4 Birds 2 Using experimental probability, what is the probability that a cat will be surrendered tomorrow? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
A group of 11 students' cholesterol levels are tested. Suppose the probability of a student having a healthy cholesterol level is 0.25. What is the probability that exactly seven out of 11 students have healthy cholesterol levels? (Round your answer to three decimal places.)
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
Which one of the following probabilities is cumulative probability? 1.The probability that there are exactly 4 people with o positive blood in a sample of 10 people. 2. The probability of exactly 3 heads in 6 flips of a coin 3. The probability that the accumulated annual rainfall in a certain city next year, rounded to the nearest inch, will be 18 inches. 4. The probability that a randomly selected woman's height is 67 inches or less
All human blood can be "ABO-typed" as one of O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Here is the distribution of blood types for a randomly chosen person in a country. Blood type A National probability 0.43 0.12 AB ? (a) What is the national probability of type AB blood? O 0.41 (b) Maria has type B blood. She can safely receive blood transfusions from people with blood types O and B. What is the probability that a randomly chosen person from this country can donate blood to Maria?
Suppose you want to estimate the probability that a patient will develop an infection while hospitalized at a particular hospital. In the past year, this hospital had 8,650 patients, and 812 of them developed an infection. What is the estimated probability that a patient at this hospital will develop an infection? 812 O P(the patient develops an infection) 8650 1 P(the patient develops an infection) = 8650 5738 O P(the patient develops an infection) 8650 O P(the patient develops an infection) = 812 812 O P(the patient develops an infection) 5738
The difference between a random variable and a probability distribution is that Select one: O a. a random variable include the probability of an event O b. a random variable does not include the probability of an event O c. a probability distribution can only assume whole numbers O d. a random variable can only assume whole numbers
A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. • Let X = the number of years a student will study ballet with the teacher. • Let P(x) = the probability that a student will study ballet x years. Complete the table below using the data provided. (Enter exact numbers as integers, fractions, or decimals.) x P(x) x*P(x) 1 0.10 2 0.10 3 0.20 4 5 0.20 6 0.20 7 0.05
40% of consumers believe that cash will be obsolete in the next 20 years. Assume that 6 consumers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years. The probability is (Round to three decimal places as needed.) ...
The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions,assume these values are not changing from year to year, and that the population of the United States is 312 millionpeople. Cause of Death in US Cause Number of deaths Passenger car occupant 13,100 Motorcycle driver 4,500 Tornado 553 Skydiving 56 What is the probability that you died as a passenger car occupant last year?