HELP ME PLEASE HELP HELP I NEED HELP I NEED TO TURN THIS US TOMMOROW
1 answer:
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Answer:
This value means that his shoe size is 2.9 deviations above the population mean.
And we can find the approximate percentile for his measure like this:
This correspond to the 99.8 percentile, so then his shoe size is 99.8% above all the shoe sizes.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the shoe size of a population, and for this case we know the distribution for X is given by:
Where represent the mean and
the population standard deviation.
For this case we know that a man obtain a z score of z=2.9
This value means that his shoe size is 2.9 deviations above the population mean.
And we can find the approximate percentile for his measure like this:
This correspond to the 99.8 percentile, so then his shoe size is 99.8% above all the shoe sizes.
The expected value of the game is $8.75.
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- The expected value is the <u>sum of each outcome multiplied by it's probability</u>.
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- The probability of spinning a 2 and a vowel is:
.
- Thus,
probability of getting $50.
- The probability of spinning 2 and a consonant is:
- Thus,
probability of getting $25.
- The probability of spinning 1 and a vowel is:
.
- Thus,
- 32 - (6 + 6 + 2) = 18, thus,
probability of earning $0.
The expected value is:
The expected value of this game is of $8.75.
A similar problem is given at brainly.com/question/24961584