The table shows the results of a survey asking 2,850 people whether they were involved in any type of charity work. Fill in the missing values in the contingency table, then use the table to find the following probabilities. Express all probabilities as decimals to three decimal places.
Frequently Occasionally Not at All Total
Males 221 456 795 1472
Females 207 430 741 1378
Total 428 886 1536 2850
A person is selected at random from the sample. Find the probability that the person...
1.) is not at all involved in charity work-
2.) is female and occasionally involved in charity work-
3.) is male or is frequently involved in charity work-
4.) is female given they are frequently involved in charity work-
5.) is frequently involved in charity work given the are female-