James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. the results are shown below. bring lunch: 46 males, 254 females buy lunch: 176 males, 264 females
the events "male” and "buys lunch” are not independent because
p(buys lunch | male) = p(male) = 0.4.
p(male | buys lunch) = p(male) = 0.3.
p(buys lunch | male) = 0.3 and p(male) = 0.4.
p(male | buys lunch) = 0.4 and p(male) = 0.3.

There are 46+176 = 222 males.

There are 254+264 = 518 females.

There are a total of 740 people.

The probability of being male is 222/740 = 0.3

There are 46+254 = 300 people that bring lunch.

There are 176 + 264 = 440 people that buy lunch.

P(male | buy lunch) = 176 / 440 = 0.4

For the events to be independent, P(male) should not depend on whether the person buys lunch or not. Since the probabilities of P(male | buys lunch) = 0.4 and P(male) = 0.3 are different, buying lunch does affect the probability of whether the person is male, so the events are not independent. Answer is D.

The correct answer is:

P(male | buys lunch) = 0.4 and P(male) = 0.3.

Explanation:

If two events A and B are independent, then P(A|B) {read "probability of A given B} is equal to P(A).

There are 176+46 = 222 males. There are 254+264 = 518 females. This is a total of 222+518 = 740 people. This makes P(male) = 222/740 = 111/370 = 3/10.

There are 176+264 = 440 people that buy lunch. Out of these, 176 are male. This makes P(male | buy lunch) = 176/440 = 88/220 = 8/20 = 4/10. This is because we consider only those who buy their lunch, and look at the probability that someone in that group is male.

Since P(male | buy lunch) = 4/10 ≠ P(male) = 3/10, these events are not independent.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.