Using the normal distribution, it is found that 0.0764 = 7.64% of teenagers who will have waist sizes greater than 31 inches.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure 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.
In this problem:
- The mean is of
.
- The standard deviation is of
.
The proportion of teenagers who will have waist sizes greater than 31 inches is <u>1 subtracted by the p-value of Z when X = 31</u>, hence:
has a p-value of 0.9236.
1 - 0.9236 = 0.0764.
0.0764 = 7.64% of teenagers who will have waist sizes greater than 31 inches.
More can be learned about the normal distribution at brainly.com/question/24663213
Im 10 but a big brain
Answer: Prevailing winds actually play an essential role in the Earth's heat distribution by ushering relatively warmer air to higher latitudes, and moving cooler air toward the equator. Prevailing winds tend to primarily blow either from the east or the west, depending on latitude.
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Considering the given discrete probability distribution, it is found that there is a 0.36 = 36% probability that Hugo buys fewer than 3 packs.
<h3>What is the discrete probability distribution?</h3>
Researching on the internet, it is found that the discrete probability distribution for the number of packs that Hugo buys is given by:
The probability that he buys fewer than 3 packs is given by:
P(X < 3) = P(X = 1) + P(X = 2).
Hence:
P(X < 3) = P(X = 1) + P(X = 2) = 0.2 + 0.16 = 0.36.
There is a 0.36 = 36% probability that Hugo buys fewer than 3 packs.
More can be learned about discrete probability distributions at brainly.com/question/24855677
According to the context, Dr. Sabato finds it more interesting to visit museums than a vacation.
<h3>What are museums?</h3>
They are places where collections of objects of artistic, cultural, scientific, historical, etc. interest are kept and exhibited.
These spaces allow to conserve, study, learn and disseminate Heritage, that is, they are dedicated to conserving and exhibiting collections that have cultural value.
Therefore, we can conclude that according to the context, Dr. Sabato finds it more interesting to visit museums than a vacation.
Learn more about museums here: brainly.com/question/13508080
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