the sample space for an experiment contains five sample - points with probabilities as shown in the table to…

the sample space for an experiment contains five sample - points with probabilities as shown in the table to the right. find the probability of each of the following events. a: {either 1, 2, or 4 occurs} b: {either 1, 3, or 5 occurs} c: {4 does not occur} p(a)= (type an exact answer in simplified form.) sample points probabilities 1 0.08 2 0.18 3 0.29 4 0.31 5 0.14

the sample space for an experiment contains five sample - points with probabilities as shown in the table to the right. find the probability of each of the following events. a: {either 1, 2, or 4 occurs} b: {either 1, 3, or 5 occurs} c: {4 does not occur} p(a)= (type an exact answer in simplified form.) sample points probabilities 1 0.08 2 0.18 3 0.29 4 0.31 5 0.14

Answer

Explanation:

Step1: Identify sample - points in event A

Event A is {Either 1, 2, or 4 occurs}. The sample - points 1, 2, and 4 have probabilities 0.08, 0.18, and 0.31 respectively.

Step2: Calculate P(A)

We use the addition rule for mutually - exclusive events. Since the sample - points are mutually exclusive, (P(A)=0.08 + 0.18+0.31). (P(A)=0.57)

Answer:

0.57