The probability that a random student at elmville college is a freshman is 0.3; a sophomore, 0.25; and a junior or senior, 0.45. the probability that a freshman will major in engineering is 0.15; a sophomore, 0.2; and a junior or senior, 0.3. what is the probability that a random student at this college majors in engineering?

Probability of an event is the measure of its chance of occurrence. The probability that a random student at this college majors in engineering is 0.24

For two events A and B, by chain rule, we have:

Suppose that the sample space is divided in n mutual exclusive and exhaustive events tagged as

Then, suppose there is event A in sample space.

Then probability of A's occurrence can be given as

Using the chain rule, we get

For the given case, let we consider events:

Then, we have:

The needed probability is

P(random student at this college majors in engineering) = P(D)

Using the law of total probability, we get:

P(D) = P(A).P(D|A) + P(B).P(D|B) + P(C).P(D|C)

P(D) = 0.045 + 0.06 + 0.135 = 0.24

Thus,

The probability that a random student at this college majors in engineering is 0.24

Learn more about law of total probability here:

link

c

step-by-step explanation:

it isn't d, because the interquartile range is from 27-57. and the interquartile range is basically half the data, it's pretty obvious.

it isn't b, because like i said earlier, the interquartile range is from 27-57. 57-27 is 30. the real range has to be longer

not a either. although it looks like it, 3/4 of the data is not greater than 27. but if c is wrong than this should be correct

the correct answer is c, because 13 is the point in which the plot starts

2 and 1.

step-by-step explanation:

plug in each answer. 0 doesn't work, 1 does. so does 2. 4 doesn't:

0 = 1 is not true.

2 = 2 is true.

4 = 4 is true.

8 = 16 is not true.

hope this !