Use Both Normal Approximation and Poisson Approximation
Not what you're looking for?
a. Expand the expression (a + b) as a sum of terms in a and b.
b. Steel bolts are produced to a specified length. There is a probability of 5% that a bolt will fall outside of
this range. A sample of 7 bolts is extracted and measured. Assuming the bolt lengths are normally
distributed, use your answer to part (a) to calculate the probability that within the sample:
i. none are faulty
ii. exactly one is faulty
iii. one or less are faulty.
c. Based on the same sample as part (b):
i. Show that it is appropriate to assume a Poisson distribution to analyse this sample.
ii. Recalculate your answers to part (b) (i), (ii) and (iii) assuming a Poisson distribution.
iii. Comment on your results from this calculation comparing it with your answers to part (b).
d. Based on your answers to parts (b) and (c) above:
i. Comment on how effective you think sampling 7 bolts would be in terms of checking that 90% are
within the chosen range for a given batch taken from a production line.
ii. In the light of your answer to (i), state how you would improve the effectiveness of the sampling to
ensure greater confidence in the production process.
Purchase this Solution
Solution Summary
The solution gives detailed steps on finding the probability using both normal approximation and Poisson approximation.
Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Probability Quiz
Some questions on probability
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts