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mylen [45]
2 years ago
14

Construct a probability distribution for the data.

Mathematics
1 answer:
lianna [129]2 years ago
5 0

Answer:

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Step-by-step explanation:

From the data, to produce a probability distribution for the data :

X : number of times blood is drawn ;

P(x) : probability that blood is drawn at X times

Hence, the probability distribution table for the data Given goes thus :

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Probability that blood is drawn 0 times = 6/15

Probability that blood is drawn 1 time = 5/15

Probability that blood is drawn 2 times = 3/15

Probability that blood is drawn 3 times = 1/15

(6/15 + 5/15 + 3/15 + 1/15) = 1

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A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

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From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

<h3><u>Answer</u></h3>

<u>\begin{cases} x \in  \mathbb{R} \\ y \geqslant 0 \end{cases}</u>

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<u>Range</u><u> </u><u>is</u><u> </u><u>greater</u><u> </u><u>or</u><u> </u><u>equal</u><u> </u><u>to</u><u> </u><u>0</u><u>.</u>

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