![kevin72937](/avatars/36495.jpg)
kevin72937
01.04.2021 •
Mathematics
Tennis Replay In the year that this exercise was written, there were 879 challenges made to referee calls in professional tennis singles play. Among those challenges, 231 challenges were upheld with the call overturned. Assume that in general, 25% of the challenges are successfully upheld with the call overturned. a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231. b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high
Solved
Show answers
More tips
- A Art and Culture How to Learn to Sing? A Complete Guide for Beginners...
- H Health and Medicine How to Get Rid of Dandruff?...
- S Sport How to Choose Tennis Rackets?...
- H Health and Medicine AKDS Vaccination: Ensure Your Child s Safety...
- H Health and Medicine Naskol ko Opasen Ukus Kleshcha i Kak Ego Raspoznat...
- C Computers and Internet How to Delete Your Account on Odnoklassniki...
- H Health and Medicine What to Do When Your Jaw Locks Up?...
- G Goods and services What Are the Most Popular Services?...
- P Philosophy How did the concept of module arise in computer science?...
Answers on questions: Mathematics
- M Mathematics 11. meg is 6 years older than victor. meg s age is 2 years less than five times victor s age. the equations below model the relationship between meg s age (m) and victor...
- M Mathematics Free points and Brainliest for people who don’t have none...
- M Mathematics May someone help me with this? Divide. (2x3−5x2+7)÷(x−2) A. 2x2+x+2+3x−2 B. 2x2−x+2+3x−2 C. 2x2−x−2−3x−2 D. 2x2−x−2+3x−2...
- M Mathematics According to a zoologist s study, the equation yˆ=0.1651x+149.5738 models the weight of a baby giraffe, in pounds, during the giraffe s first 1000 days, where x is the...
- M Mathematics 1. Find the effective rate of the compound interest rate or investment. (Round your answer to two decimal places.) 24% compounded monthly. [Note: This rate is a typical...
- M Mathematics Vinh bought 412 gallons of ice-cream to serve. If a pint is 18 gallons, how many pint-sized servings can be made?...
- M Mathematics Find the equation of the linear function represented by the table below in slope-intercept form....
- M Mathematics Write the decimal as a percent 0.0371...
- M Mathematics THIS IS QUESTION 4 OF A 30 QUESTION TEST...
- M Mathematics Multiplying by which number is equivalent to finding 9%?...
Ответ:
a. 0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.
b. 231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.
Step-by-step explanation:
For each challenge, there are only two possible outcomes. Either it was overturned, or it was not. The probability of a challenge being overturned is independent of any other challenge. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Significantly high:
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
If a value is more than 2.5 standard deviations above the mean, this value is considered significantly high.
25% of the challenges are successfully upheld with the call overturned.
This means that![p = 0.25](/tpl/images/1234/7316/61d4a.png)
879 challenges
This meas that![n = 879](/tpl/images/1234/7316/b4c3e.png)
a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231.
This is P(X = 231). So
0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.
b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high
The mean is:
The standard deviation is:
231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.
Ответ:
Step-by-step explanation: