Q. 225.0( 1 Vote )

An experiment suc

Answer :

Let p be probability of success and q be probability of failure of experiment


Given that p = 3q


As we have only two possibilities success or failure hence the distribution is binomial


And in binomial distribution p + q = 1


3q + q = 1


q = 1/4


Put q = 1/4 in p + q = 1


p + 1/4 = 1


p = 1 – 1/4


p = 3/4


Now for binomial distribution the probability P(X=x) is given by



Where n is the total number of trials and x is the required result


In 5 trials we require at least 3 success


Hence n = 5 and at least 3 means 3 success, 4 success or 5 success which means x = 3, 4 or 5


Hence required probability


required probability = P(X = 3) + P(X = 4) + P(X = 5)



Using










Hence the probability of at least 3 success in 5 trials 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