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the table gives a set of outcomes and their probabilities. let a be the…

Question

the table gives a set of outcomes and their probabilities. let a be the event \the outcome is a divisor of 4\. find p(a).

outcomeprobability
20.01
30.1
40.02
50.06
60.09
70.07
80.02
90.3
100.03

Explanation:

Step1: Identify the divisors of 4

The divisors of 4 are 1, 2, 4.

Step2: Sum their probabilities

$$P(A)=0.3 + 0.01+0.02$$
$$P(A)=0.33$$

Answer:

\(0.33\)