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Complete Table 4.28 using the data provided.

Short Answer

Expert verified

The probability distribution table:

Step by step solution

01

Given Information

A ballet trainer wants to know how many students from each year's class will return the following year so she can prepare what lessons to provide. She's developed a working probability throughout the seasons, where X signifies the number of years a person will learn ballet with the teacher and P(X) denotes the probability of learning for such years.

02

Concept Used

The combination of a Random Variable's chances of values taken adds up to 1.

03

Calculation

Because the total of probability equals 1

0.10+0.05+0.10+P(4)+0.30+0.20+0.10=1

that is, role="math" localid="1648458749075" P(4)+0.85=1

role="math" localid="1648458925787" P(4)=1-0.85=0.15x multiplied with p(x) yields the third column.

that is, (1)(0.10)=0.10,(2)(0.05)=0.10

04

Explanation

The table below is the result of putting in the values of P(4).

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