Question #209146

In a component manufacturing industry, there is a small probability for any

component to be defective. The components are supplied in packets of . Use

Poisson approximation to calculate appropriately the number of packets containing

(i) at least one defective (ii) at most one defective in a consignment of 100 packets

Expert's answer

The number of defective blades in a packet has binomial distribution 𝐵(𝑛, 𝑝) with

parameters 𝑛 = 100 and 𝑝 = 0.0002

The binomial distribution can be approximated using Poisson with parameter 𝑚 =

𝑛𝑝 = 0.02

Let 𝑋 equals the number of defective blades in a packet.

Using the formula

we have:

Thus expected frequencies are:

(i) at least one defective

ii) at most one defective

Learn more about our help with Assignments: Chemical Engineering

## Comments

## Leave a comment