Question

an employee is selected from a staff of 10 to super- vise a certain project by selecting a tag at random from a box containing 10 tags numbered from 1 to 10. find the formula for the probability distribution of x rep- resenting the number on the tag that is drawn. what is the probability that the number drawn is less than 4?

Answer 1

Probability that the number drawn is less than 4 is given by 0.3

What is probability?

The likelihood of an event happening is gauged by probability.

The probability might be between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty.

The overall chance of every event in a sample space is 1.

Let random variable X represent the number of the drawn tag.

Since the simple space consists of 10 equally likely events

S = {1,2,3,4,5,6,7,8,9,10}

The formula for probability distribution is given by:

f(x) = { (1/10) for x = 1,2....10,    else 0 elsewhere

since, each number can equally likely occur, therefore

P(x) = 1/10 = 0.1

Probability that the number drawn is less than 4 is given by:

P(x<4) = P(1) + P(2) + P(3)

           = 0.1 + 0.1 + 0.1

           = 0.3

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