Atwo-way frequency table shows baldness in men over 45 and men under 45.

under 45 over 45 total
bald 24 16 40
not bald 36 24 60
60 40 100

based on this data, are baldness and being over 45 independent events?

a) yes, p(bald | over 45) = p(bald)

b) yes, p(bald | over 45) = p(over 45)

c) no, p(bald | over 45) _ p(bald)

d) no, p(bald | over 45) _ p(over 45)

If , then events A and B are independent, otherwise they are dependent.

Using conditional probabilities this property can be written as:

.

Count the probabilities:

1.

2.

Then and events are independent.

correct choice is A.

Thy answer is "A) Yes, P(bald | over 45) = P(bald)"

Step-by-step explanation:

I knowith thus because me got thowest question right.

Hope thus has helped~

All thowist love, Ya boi Fraser.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled