Statistics Assignment | Answers to Questions | Doc

Running head: STATISTICS
Statistics
Name of the Student:
Name of the University:
Author note:

STATISTICS
1
Table of Contents
Answer to the question 1............................................................................................................2
Part 1......................................................................................................................................2
Part 2......................................................................................................................................2
Part 3......................................................................................................................................2
Answer to the question 2............................................................................................................3
Part (a)....................................................................................................................................3
Part (b)....................................................................................................................................5
Bibliography...............................................................................................................................6

STATISTICS
2
Answer to the question 1
Given that
N= 10
P= 0.01
(1-P) = 0.99
Let X denote the number of defective components.
Part 1
The required probability that exactly one component is defective is as below
P (X=x) = c x
n * Px * (1-P) (n-x)
P(X=1) = c1
10 * (0.01)1 * (0.99) (10-1)
= 10 * 0.01 *(0.99)9
= 0.09135
Part 2
The required probability that at least two component is defective is as below
P (X=x) = c x
n * Px * (1-P) (n-x)
P(X≥2) = 1 – (P (X = 1) + P (X=0))
= 1 – (c1
10 * (0.01)1 * (0.99) (10-1) + c0
10 * (0.01)0 * (0.99) (10-0))
= 1- (0.09135 + 0.90438)
= 0.0043