Determine whether the following value could be a probability. 0.56

Mathematics

1 answer:

raketka [301]3 years ago

7 0

Answer: Yes 0.56 could be a probability

Explanation:

The value 0.56 is between 0 and 1, which is a key important characteristic of any probability. It's the same as saying 56% is between 0% and 100%; where 0% represents the event not happening and 100% means the event is guaranteed to happen.

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Apple weights are normally distriuted with a mean 0.33 pounds and and standard deviation of 0.06 pounds. Jermaine went to the st

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Using the normal distribution, it is found that 10.56% of the apples weigh less than Jermaine's apple.

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In a <em>normal distribution</em> with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure X is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X, that is, the proportion of measures that are less than X.

In this problem:

Mean of 0.33 pounds, thus $\mu = 0.33$ .
Standard deviation of 0.06 pounds, thus $\sigma = 0.06$ .
The proportion that is less than 0.25 pounds is the p-value of Z when X = 0.25, thus: