Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

if the probability that a certain tennis player will serve an ace is 1 4 , what is the probability that he will serve exactly four aces out of seven serves? (assume that the seven serves are independent. round your answer to four decimal places.)

Sagot :

The probability that he will serve exactly four aces out of seven serves is 5.7 %.

Given :

if the probability that a certain tennis player will serve an ace is 1 / 4 .

If we let p stand for the probability of a succes, then p = 1/4, and ( 1 - p ) = 3/4.  (1-p) is the probability that he will NOT serve an ace.

Formula  for probability:

P (m successes in n trials) = ( nCm ) * p^m * ( 1 - p )^( n - m ).

= 7C4 * ( 1/4 )^4 * ( 3/4 )^( 7 - 4 )

= 7! / ( 7 - 4 )! 4! * 1/256 * 27/64

= 7 * 6 * 5 / 3 * 2 * 1 / 256 * 27/64

= 35/256 * 27/64

= 945/16384

= 0.057

= 0.057 * 100 %

= 5.7 %

Learn more about the probability here:

https://brainly.com/question/11234923

#SPJ4

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.