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elena-14-01-66 [18.8K]
2 years ago
14

A chef boiled 4 eggs and put them in a basket with 8 eggs that were not boiled. All of the eggs look the same. Randy selects an

egg, keeps it, and then selects another egg. Which expression gives the probability that he selects 2 boiled eggs?
A. 4/12*3/11
B. 4/12*4/12
C.4/12*3/12
D.4/12*4/11
Mathematics
2 answers:
tamaranim1 [39]2 years ago
7 0

Answer:

i took the test and its A

Step-by-step explanation:

All together there are 12 eggs total with 4 that are non boiled and 8 that are boiled. If he takes out 2 eggs, it then goes from 12 total eggs to 11 then take 1 away from 4 to have 3 so its A. 4/12 * 3/11

oee [108]2 years ago
5 0
Expression A gives the correct probability.

On the first draw, there is a 4/12 chance of choosing a boiled egg because there are 4 boiled eggs and a total of 12 eggs to choose from.

On the second draw, there is a 3/11 chance of choosing a boiled egg because there are 3 boiled eggs and a total of 11 eggs to choose from.
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A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose pe
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Using the normal distribution, it is found that:

a) 0.8599 = 85.99% probability that x is more than 60.

b) 0.1788 = 17.88% probability that x is less than 110.

c) 0.6811 = 68.11% probability that x is between 60 and 110.

d) 0.0643 = 6.43% probability that x is greater than 125.

In a normal distribution 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 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 87, thus \mu = 87.
  • The standard deviation is of 25, thus \sigma = 25.

Item a:

This probability is <u>1 subtracted by the p-value of Z when X = 60</u>, thus:

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

Z = \frac{60 - 87}{25}

Z = -1.08

Z = -1.08 has a p-value of 0.1401.

1 - 0.1401 = 0.8599

0.8599 = 85.99% probability that x is more than 60.

Item b:

This probability is the <u>p-value of Z when X = 110</u>, thus:

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

Z = \frac{110 - 87}{25}

Z = 0.92

Z = 0.92 has a p-value of 0.8212.

1 - 0.8212 = 0.1788.

0.1788 = 17.88% probability that x is less than 110.

Item c:

This probability is the <u>p-value of Z when X = 110 subtracted by the p-value of Z when X = 60</u>.

From the previous two items, 0.8212 - 0.1401 = 0.6811.

0.6811 = 68.11% probability that x is between 60 and 110.

Item d:

This probability is <u>1 subtracted by the p-value of Z when X = 125</u>, thus:

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

Z = \frac{125 - 87}{25}

Z = 1.52

Z = 1.52 has a p-value of 0.9357.

1 - 0.9357 = 0.0643.

0.0643 = 6.43% probability that x is greater than 125.

A similar problem is given at brainly.com/question/24863330

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