Question

ILL Give Brainiest, Look at the relative frequency table below of the probability distribution of the discrete random variable X, with X = "the number of pencils in your backpack on any given day."

x P(X = x)
0 .09
1 .29
2 .42
3 .02
4 .18
What is the relative frequency that your backpack will have at least 3 pencils inside of it on any given day of the week?

2%
18%
42%
20%

Answer 1

Relative frequencies are frequencies represented as percentages

The relative frequency that your backpack will have at least 3 pencils is 20%

How to determine the relative frequency

The relative frequency that your backpack will have at least 3 pencils is represented as:

P(x >= 3)

From the table, we have:

P(x >= 3) = P(x = 3) + P(x = 4)

So, we have:

P(x >= 3) = 0.02 + 0.18

Add the expressions

P(x >= 3) = 0.20

Express as percentage

P(x >= 3) = 20%

Hence, the relative frequency that your backpack will have at least 3 pencils is 20%

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