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An employee is selected from a staff of 8 to supervise a certain project by selecting a tag at random from a box containing 8 tags numbered from 1 to 8. Find the formula for the probability distribution of X representing the number on the tag that is drawn. What is the probability that the number drawn is less than 3​?

Respuesta :

Answer:

The probability that the number drawn is less than 3​ is 0.25

Step-by-step explanation:

Let us assume that each number is equally likely to be drawn. Let X be the number that is drawn, then

[tex]P(X=i) = \frac{1}{8}[/tex] for [tex]i = 1, \dots, 8[/tex].

Then,

[tex]P(X< 3) = P(X=1)+P(X=2)= \frac{1}{8}+\frac{1}{8} = \frac{1}{4}[/tex]

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