Math, asked by pandeyuday0703, 5 months ago

is
0.005
The probability of getting an item defective
What is the probability that exactly 3 items in
sample of 200 are defective
Given
é^_1 '= 0.3679)
a
© 0:8569 @
O 0613
3
items
in
a
200
0.0127 ©​

Answers

Answered by dipteshkumar7naha32
5

Answer:

not clear

Step-by-step explanation:

please send the question properly giving an attachment....

Answered by amitnrw
2

Given : The probability of getting an item defective is 0.005.

To Find : the probability  that exactly 3 items in a sample of 200 are defective.

Solution:

Using Normal Distribution :

The probability of getting an item defective is 0.005

p = 0.005

1 - p = 1 - 0.005 = 0.995

n = 200

x= 3

P(x) = ⁿCₓpˣ(1-p)ⁿ⁻ˣ

=> P(x) = ²⁰⁰C₃(0.005)³(0.995)¹⁹⁷

=> P(x) =  0.06116

the probability  that exactly 3 items in a sample of 200 are defective. is 0.06116

or using position distribution

np = 200 * 0.005 = 1  = Mean

λ = 1

P(x)  = λˣ  e^(-λ) / x!

P(3) = 1³ e⁻¹/3!  

= e⁻¹/6

= 0.3679/6

= 0.061316

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