When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan. Randomly select and test 35 batteries and determine whether each is in specifications. The entire shipment is accepted if at most 3 batteries do not meet specifically. A shipment contains 4000 batteries, and 1% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?

When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan. Randomly select and test 35 batteries and determine whether each is in specifications. The entire shipment is accepted if at most 3 batteries do not meet specifically. A shipment contains 4000 batteries, and 1% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?

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 university study involves a simple random sample of 26 students taken from a population of 12,550. Undergraduate students make up 73% of the university's students. Determine the probability of selecting only undergraduate students?
The probability that a house in an urban area will develop a leak is 6%. If 13 houses are randomly selected, what is the probability that none of the houses will develop a leak? Round to the nearest thousandth.
For an outdoor art and craft show, event organizers estimate that 60,000 people will attend if it is not raining. If it is raining, event organizers estimate that 21,000 people will attend. On the day of the show, meteorologists predict a 70% chance or rain. Determine the expected number of people who will attend this show.
In a classroom of 27 students, there are 17 girls and 10 males. Mr. Stover wants to randomly select a student but states that the probability of selecting a female student is a lot larger than selecting a male student. Is this assumption correct? Explain your answer.
A news station polls 405 voters to predict whether a budget will pass. Suppose the budget has support form 55% of voters. What is the probability the news station's smaple will lead to predict defeat?
In a large population, 68 % of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal (to at least 3 places) or fraction.
After high school graduation you decide to become a chicken farmer. You experiment with several types of packaging, but even with the most secure cartons, 4% of your eggs break during shipping. Assuming that all eggs have the same probability of breaking, what is the probability that a carton of 12 eggs has at most 2 that are broken?
A medication is 75% effective against a bacterial infection. Find the probability that if 12 people take the medication, at least 1 person's infection will not improve.
In a large population, 70 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
33% of all college students major in STEM (Science, Technology, Engineering, and Math). If 30 college students are randomly selected, find the probability that exactly 8 of them major in STEM.
31% of all college students major in STEM (Science, Technology, Engineering, and Math). If 44 college students are randomly selected, find the probability that exactly 11 of them major in STEM.
In a large population, 68 % of the people have been vaccinated. If 3 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?Give your answer as a decimal (to at least 3 places) or fraction.