Mathematics, 28.05.2021 03:10 blueval3tine

The probability that a tennis set will go to a tiebreaker is 16%. In 220 randomly selected tennis sets, what is the mean and the standard deviation of the number of tiebreakers

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Answer from: janneemanoeee

The mean number of tiebreakers is of 35.2 and the standard deviation is of 5.44.

Step-by-step explanation:

For each set, there are only two possible outcomes. Either it goes to a tiebreak, or it does not. The probability of a set going to a tiebreak is independent of any other set, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

The probability that a tennis set will go to a tiebreaker is 16%.

This means that p = 0.16

220 randomly selected tennis sets

This means that n = 220

What is the mean and the standard deviation of the number of tiebreakers?

E(X) = np = 220*0.16 = 35.2

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{220*0.16*0.84} = 5.44$

The mean number of tiebreakers is of 35.2 and the standard deviation is of 5.44.

Answer from: Quest

the clues that signal the reader should change tone are the punctuation marks, the grammatical signs. for example, the quotation marks at the beginning of something someone else said literally or the exclamation marks.

the tone of the first line of dialogue until "gettysburg" is a kind tone, a tone of advise. the narrator is trying to the other person in doing something he or she obviously is finding hard to do by giving a piece of advise and bringing up a memory of a successful similar case.

the clue that the reader understand how to read the word "bang" is the exclamation mark. it gives the word a surprise tone, a strong accent.

the best tone for reading the word "bang" is an exciting tone, a surprise one, even a loud one.

the words that should be read with a formal tone are the ones that give factual information. the sentence: mister lincoln couldn't think of anything to say at the gettysburg" gives information about an event and it needs to be read formally, also, when the narrator wants to transmit calmness, a formal and slow tone is needed, because people also transmit messages with the vibrations of our voices and tones.

Answer from: Quest

step-by-step explanation:

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