Problem 3E

The sample space for an experiment contains five sample points with probabilities as shown in the table. Find the probability of each of the following events:

Sample Points |
Probabilities |

1 |
0.05 |

2 |
0.20 |

3 |
0.30 |

4 |
0.30 |

5 |
0.15 |

A: {Either 1, 2, or 3 occurs}

B: {Either 1, 3, or 5 occurs}

C: {4 does not occur}

Solution

Step 1 of 1

We have to find the probabilities of the given events

Here given that

Sample point |
1 |
2 |
3 |
4 |
5 |

Probability |
0.05 |
0.2 |
0.3 |
0.3 |
0.15 |

A:{Either 1, 2 or 3 occurs}

Then P(A)=P(1)+P(2)+P(3)

=0.05+0.2+0.3

=0.55

B:{Either 1, 3 or 5 occurs}

Then P(B)=P(1)+P(3)+P(5)

=0.05+0.3+0.15

=0.5

C:{4 does not occur}

Then P(C)=P(1)+P(2)+P(3)+P(5)

=0.05+0.2+0.3+0.15

=0.7

Hence P(A)=0.55, P(B)=0.5 and P(C)=0.7