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Answer:
a) Ann has a 1/3 chance of winning in the first round
b) The chance of Ann winning for the first time in the fourth round is 8/81
c) The probability that Ann's first win occurs after the fourth round is 16/81
Step-by-step explanation:
a) Each strategy is played with a probability of 1/3. Given any strategy, there’s a 1/3 chance that Bill will choose the strategy that allows Ann to win. Consequently, the probability of Ann securing a victory in the first round (or any round) is
1/3 * 1/3 + 1/3 * 1/3 + 1/3 * 1/3 = 1/9 + 1/9 + 1/9 = 1/3.
Thus, the likelihood of Ann winning the initial round is 1/3.
b) The chances of Ann winning a round stand at 1/3; therefore, her chances of not winning are 2/3. This must happen three times before her first victory. Thus, the probability that Ann's first win occurs in the fourth round is
(2/3)³ * 1/3 = 8/81.
c) The first victory happens after the fourth round if she remains unsuccessful in the first four rounds, translating to a possibility of (2/3)⁴ = 16/81.
The response indicates that the test comprises 10 questions worth 3 points each and 14 questions worth 5 points. If there are any queries, feel free to ask!!! Thank you!
Answer:
Step-by-step explanation:
A survey of 8225 Americans included age data collection.
The mean age was recorded as 42, whereas the median was noted as 37.
This indicates median < mean.
When the mean exceeds the median, it suggests the presence of right skewness in the data.
In a symmetrical distribution, mean and median align. If there is a discrepancy, the distribution is skewed.
Consequently, with the mean > median, the data is skewed to the right.
Answer:
This situation illustrates Extrapolation.
Step-by-step explanation:
Extrapolation involves predicting the future based on the premise that current or historical trends will persist.
This also entails assuming the methodologies employed to gauge past trends will apply in the future.
For instance, consider projections regarding global population.
In this case, the number of Elvis Presley impersonators has risen from 48 at his death in 1977 to 7,328 today. If we estimate that by 2016, one in four individuals will become an Elvis impersonator based on the growth trend, this exemplifies Extrapolation.
