ZuoTi.Pro
Question

A company that develops motorbike batteries knows that 10% of the batteries are defective. 300 batteries are randomly sampled: (a) Show that X number of defective batteries out of 300, follows a binomial distribution. (b) What is the probability that of the next 300 batteries, 20 or less will be defective?

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

age Civen tnat as) e, 2 S. oo, o. ミ 0.02867 h afor yhen using this PLそく 4

0 0
Add a comment
Know the answer?
Add Answer to:
A company that develops motorbike batteries knows that 10% of the batteries are defective. 300 batteries...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Suppose there are 4 defective batteries in a drawer with 10 batteries in it. A sample...

    Suppose there are 4 defective batteries in a drawer with 10 batteries in it. A sample of 3 is taken at random without replacement. Let X denote the number of defective batteries in the sample. Find the probability that the sample contains a) Exactly one defective battery b) at most one defective battery. c) at least one defective battery.

  • A manufacturer of metal pistons claims that on average, about 10% of their pistons are defective...

    A manufacturer of metal pistons claims that on average, about 10% of their pistons are defective (either oversize or undersize). This month, there are 100,000 pistons produced. The quality control staffs randomly selected 150 pistons to examine the size, and 20 pistons are found to defective? (No points will be given without proper steps) (1) (1pt) If we define variable x = number of defective pistons out of the 150 pistons selected, what distribution does x follow? (2) (1pt) Check...

  • Approximately 20% of the lightbulbs produced by a company are defective (and the rest are non-defective)....

    Approximately 20% of the lightbulbs produced by a company are defective (and the rest are non-defective). Suppose 3 lightbulbs are selected randomly. Let Y be the random variable showing number of defective lightbulbs. a)Complete the following probability distribution given in the following table. (You can use binomial distribution formula) y p(y) 0 0.512 1 2 3 0.008 Find the mean and variance of the above probability distribution

  • Quick Start Company makes 12-volt car batteries. After many years of product testing, the company knows...

    Quick Start Company makes 12-volt car batteries. After many years of product testing, the company knows that the average life time(x) of a Quick Start battery is normally distributed with a mean of 45 months and a standard deviation of 8 months. What is the probability that a randomly picked 12-volt car battery that was produced by Quick Start Company has a life time that is less than 36 months?

  • 4. Suppose the event of a student’s application to a university being accepted follows the binomial...

    4. Suppose the event of a student’s application to a university being accepted follows the binomial probability. The successful rate is 80%. Please finish the following tasks? (1) Determine the expected number of acceptances for the next nine applicants and the standard deviation. (2) What is the probability that among the next 10 applicants exactly 6 will be accepted? (Please show the detail computation steps. Please don’t just give an answer from Excel functions or calculator functions. Otherwise, you will...

  • 10 point A box contains three defective and seven non defective chips. Three chips are drawn...

    10 point A box contains three defective and seven non defective chips. Three chips are drawn randomly without replacement one after the other. Let X be the # of defective chips. Using hyper geometric model construct the probability distribution of X and show that it fulfills the two conditions of probability distribution. Also find E(X) 1 Add file Page 2 Back Submit LALAR

  • A company that produces car breaks has a 15% defective rate. Suppose we are interested in...

    A company that produces car breaks has a 15% defective rate. Suppose we are interested in the number of defectives in a random sample of size 8 of their products. (If we think of getting a defective break as a “success” then this is an example of a binomial experiment!) What is the probability that the number of defective breaks in the random sample is 2 or less? Hint: You will need to use p(x) = n x p x...

  • A crate contains 30 light bulbs, five of which are defective. A quality control officer randomly...

    A crate contains 30 light bulbs, five of which are defective. A quality control officer randomly selects a committee of three bulbs without replacement. a. Find the probability distribution for X = the number of bulbs (out of three) that are defective. (Please round your probabilities to three decimals.) b. Use your distribution to find the probability that at most one (out of the three) bulbs is defective. c. Use your distribution to find the probability that at least two...

  • A company makes auto batteries. They claim that 81% of their LL70 batteries are good for 70 month...

    1. 2. 3. A company makes auto batteries. They claim that 81% of their LL70 batteries are good for 70 months or longer. Assume that this claim is true. Let p be the proportion in a random sample of 70 such batteries that are good for 70 months or more. a. What is the probability that this sample proportion is within 0.02 of the population proportion? Round your answer to two decimal places b. What is the probability that this...

  • Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests that 69.7% of...

    Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests that 69.7% of 18-20 year olds consumed alcoholic beverages in 2008 (a) Suppose a random sample of 10, 18-20 year olds is taken. Is the use of binomial distribution appropriate for calculating the probability that exactly six consumed alcoholic beverages? (b) Calculate the probability that exactly 6 out of 10 randomly sampled 18-20 year olds consumed an alcoholic beverage? (c) What is the probability that at most...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT