Answer:
A. P(I'NF') = 148 / 289 = 0.512 and B. P(F'I') = 148 / 289 = 0.512
Explanation:
a. P(I'NF')
P(I'NF') is the probability that a worker does not have employer insurance (I') and is part-time (F'). To calculate this probability, we can use the following formula:
P(I'NF') = P(I' ∩ F') / P(F')
From the table, we can see that P(I' ∩ F') = 148 and P(F') = 289. Therefore,
P(I'NF') = 148 / 289 = 0.512
b. P(F'I')
P(F'I') is the probability that a worker is part-time (F') given that they do not have employer insurance (I'). To calculate this probability, we can use the following formula:
P(F'I') = P(F' ∩ I') / P(I')
From the table, we can see that P(F' ∩ I') = 148 and P(I') = 289. Therefore,
P(F'I') = 148 / 289 = 0.512