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Kisachek [45]
3 years ago
7

HELP!! Which table is a probability distribution table?

Mathematics
1 answer:
fomenos3 years ago
3 0

Answer:

Table 1 is the only table which represents PROBABILITY DISTRIBUTION table.

Step-by-step explanation:

In any given probability distribution:

1) The probability of each event should be strictly POSITIVE.

2) Sum of all events in a a distribution should be 1.

Now, here

A) All of the values of probability (0.11, 0..5, 0.49,0.35)  are positive.

Also, 0.11 +  0.5 +  0.49 + 0.35  = 1

So, the given table is a PROBABILITY DISTRIBUTION.

B)The table is NOT a PROBABILITY DISTRIBUTION as here

P(Blue) =  -1, which is negative.

C)The table is NOT a PROBABILITY DISTRIBUTION as here

P(Green) =  -0.49, which is negative.

D)The table is NOT a PROBABILITY DISTRIBUTION as here

P(Purple) =  -0.1, which is negative.

Hence, table 1 is the only table which represents  PROBABILITY DISTRIBUTION table.

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Answer:

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3 years ago
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we know the chord is 10 units long, so 5 + 5, since is perpendicularity with the radius will also cut the chord in two equal halves.

anyhow, all that said, we end up with triangle you see on the right-hand-side, and then we can just use the pythagorean theorem.

\bf \textit{using the pythagorean theorem}
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c^2=a^2+b^2
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-------\\
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\bf (2^2a^2)=a^2+25\implies 4a^2=a^2+25\implies 3a^2=25
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\\\\\\
\textit{and then we can \underline{rationalize the denominator} }
\\\\\\
a=\cfrac{5}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies a=\cfrac{5\sqrt{3}}{\sqrt{3^2}}\implies a=\cfrac{5\sqrt{3}}{3}

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