Statistics Homework Solutions
Problem
#51525

Normal Approximation

A manufacturer claims that he makes light bulbs each of which has a 0.9 probability
of operating successfully when plugged in.

a. If 1000 light bulbs are tested what is the mean and standard deviation for this binomial probability function?
for this problem I'm getting 900 for the mean and 9.486 for the standard deviation

b. In the test of the 1000 bulbs 117 were defective when plugged in. What is the probability that 117 or fewer would be defective? (Use the normal approximation to the binomial probability function)

I get a really weird answer for this problem. for the z score I'm getting a -82.


Solution
What is this?
By OTA - Overall OTA Rating
Purchase Cost Now
$2.19 CAD (was ~$11.97)
Included in Download
  • Plain text response
  • Attached file(s):
    • Normal Approximation.doc
$2.19 Instant Download
Add to Cart
Why you can trust BrainMass.com
  • Your Information is Secure
  • Best Online Academic Help Service
  • Students find real academic Success
Related Solutions
  • Simple Probability - A factory finds,on average, 20% of the widgets produced by a given machine will be defective for certain specified requirements. If 10 widgets are selected at random from the day's production of this ...
  • Statistics Question - Calculating Probabilities - A manufacturer has two plants that produce the same product...Plant A and Plant B...Plant A has 60% of the total production and has a 5% defective rate...Plant B has 40% of the total production with a ...
  • Double Sampling Plan - Requesting step by step answer for below exercise of the Introduction to Statistical Quality Control 5e by Montgomery chapter 14 Problem description: (a) A double sampling plan is as follows: Sel ...
  • Calculating the probability from the given product defective situation. - 35% of products made by company Z are defective. A sample of 9 products is chosen. Find: a) The probability that 2 are defective b) The probability that 3 are defective c) The probability ...
  • Random Probability - A group of 500 units contain 5 that are defective. Two are selected at random, without replacement from the batch. a.) What is the probability that the second one selected is defective given that ...
Browse