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)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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)
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