Answer :

Let p be the probability of getting defective items out of 100 items.


And according to the question, the items produced by a company contain 10% defective items.


So, p = 10%




And also, as we know p + q = 1


If p is the probability of getting defective items out of 100, then q is the probability of not getting defective items out of 100.


q = 1 – p





Let X be the number of defective items drawn out of 8 items. (Since 8 is the sample size)


Then, the probability of getting r defective items out of 8 items is given by,


P (X = r) = nCrprqn-r


We know that, n = 8




Put all these values in the previous equation.



Then, the probability of getting two defective items out of a sample of 8 is given by putting r = 2.


Now,








Thus, the probability of getting 2 defective items out of a sample of 8 items is .


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

A box has 100 penMathematics - Exemplar

State True or FalMathematics - Exemplar

A random variableMathematics - Board Papers

How many times muMathematics - Board Papers

A card from a pacMathematics - Board Papers

An experiment sucMathematics - Board Papers

A bag A contains Mathematics - Board Papers

On a multiple choMathematics - Board Papers

Mark the correct RD Sharma - Volume 2