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nlexa [21]
3 years ago
10

Bob and mark talk about their families.bob says he has three kids, the product of Their age is 72. He gives another clue: the su

m of the ages of his children. Mark points out there is still not enough information to accurately guess. Finally bob says, my youngest called justice. Mark then correctly determine the ages of bobs children. What are the ages.
Mathematics
1 answer:
drek231 [11]3 years ago
8 0
<span>Bob says he has 3 kids, the product of their age is 72.
So the possible ages of Bob's kids can be taken from the factors of 72

72 = 2 * 2 * 2 * 3 * 3

</span><span>Finally, bob says, my youngest child called justice.
</span>So meaning, Bob has a youngest child. He didn't mention about a twin.

So the possible ages the following:
1, 2, 36 --> sum: 39
1, 4, 18 --> sum: 23
1, 8, 9 --> sum: 18

<span>Once the sum of the ages will be revealed, then the possible ages are mentioned above.</span>
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Consider the following sample set of scores. Assume these scores are from a discrete distribution. 21 29 32 38 38 45 50 64 72 10
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Original data: 21 29 32 38 38 45 50 64 72 100

\bar X = \frac{21+29+32+38+38+45+50+64+72+100}{10}=48.9

Mode =38.

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Change 1: 2 29 32 38 38 45 50 64 72 100

\bar X = \frac{2+29+32+38+38+45+50+64+72+100}{10}=47

Mode =38.

Median = \frac{38+45}{2}=41.5

Change 2: 29 32 38 38 45 50 64 72 100

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Median = 45

Step-by-step explanation:

Original data: 21 29 32 38 38 45 50 64 72 100

The mean is calculated with the following formula:

\bar X = \frac{\sum_{i=1}^{10} X_i}{10}

And if we replace we got:

\bar X = \frac{21+29+32+38+38+45+50+64+72+100}{10}=48.9

The mode is the most repeated value in the sample and on this case is Mode =38.

Since we have an even number of points the median is calculated as the average between the observations 5 and 6 from the dataset ordered.

Median = \frac{38+45}{2}=41.5

Change 1: 2 29 32 38 38 45 50 64 72 100

The mean is calculated with the following formula:

\bar X = \frac{\sum_{i=1}^{10} X_i}{10}

And if we replace we got:

\bar X = \frac{2+29+32+38+38+45+50+64+72+100}{10}=47

The mode is the most repeated value in the sample and on this case is Mode =38.

Since we have an even number of points the median is calculated as the average between the observations 5 and 6 from the dataset ordered.

Median = \frac{38+45}{2}=41.5

Change 2: 29 32 38 38 45 50 64 72 100

Now the sample size is 9 instead of 10

The mean is calculated with the following formula:

\bar X = \frac{\sum_{i=1}^{9} X_i}{9}

And if we replace we got:

\bar X = \frac{29+32+38+38+45+50+64+72+100}{9}=52

The mode is the most repeated value in the sample and on this case is Mode =38.

Since we have odd number of points the median is calculated from the 5 position of the dataset ordered.

Median = 45

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Step-by-step explanation:

Let <em>X</em> = a woman has red/green color blindness.

It is provided that, in a certain group of women the rate of red/green color blindness is <em>P</em> (<em>X</em>) = 0.0055.

A complement of an event <em>E</em>, is defined as the event of not <em>E</em>.

The probability of complement of an event <em>E</em> is:

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Thus, the probability of the complement of the event of a woman having red/green color blindness is 0.9945.

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