Algebra 1A unit 6 lesson 6
1 answer:
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Answer:
She should be expected to have 2.11 aces.
Step-by-step explanation:
I suppose there was a small typing mistake. It should be: On average she gets an ace of 8.44% of her serves.
Then
For each serve, there are only two possible outcomes. Either there is an ace, or there is not. The probability of there being an ace in a serve is independent of other serves. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
She gets an ace of 8.44% of her serves.
This means that
She attemps 25 serves:
This means that
How many aces would you expect her to have
She should be expected to have 2.11 aces.