Question

Asked Sep 20, 2019

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400 randomly selected people are surveyed about income and education. Results are presented below:

Low Income (L) | Middle Income (M) | High Income (H) | |

College Degree (C) | 32 | 73 | 120 |

No College Degree (N) | 70 | 64 | 41 |

Based on this sample, find the probability that a randomly selected individual

a. is high income, P(H)

b. is a college graduate and is in the middle income bracket, P(C and M)

c. is not a college graduate or is in the low income bracket, P(N or L)

d. is in the high income bracket given that the individual has a college degree, P(H | C)

e. has no college degree given the individual is in the middle income bracket, P(N | M)

Step 1

**Note:**

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Step 2

**Marginal values:**

The following table shows the marginal distribution of the survey result.

Step 3

**a. Computation of probability that a randomly selected individual has high income, P(H):**

Let the event *H* denote high income.

From the marginal table, it is observed that out of 400 observations, 161 has high income.

The ...

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