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An engineering school reports that 53% of its students were male (M), 35% of its students were between the ages of 18 and 20 (A), and that 21% were both male and between the ages of 18 and 20. What is the probability of choosing a random student who is a female or between the ages of 18 and 20? Assume P(F) = P(not M). Your answer should be given to two decimal places.

Respuesta :

The probability of selecting a random student who is a female or between the ages of 18 and 20 is 0.65.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Given

An engineering school reports that 53% of its students were male (M), 35% of its students were between the ages of 18 and 20.

                  18-20                         not 18-20                      Total

Male            0.23                             0.35                           0.58

Female        0.16                             0.26                            0.42

Total            0.39                             0.61                               1

Then the probability of females or between 18-20 will be.

[tex]\rm P (female\ or \ between \ 18 \ to \ 20) = P(female) + P(18\ to\ 20) -P(female \ and\ 18 \ to \ 20)\\\\P (female\ or \ between \ 18 \ to \ 20) =0.42 + 0.39 - 0.16 \\\\P (female\ or \ between \ 18 \ to \ 20) = 0.65[/tex]

Thus, the probability of choosing a random student who is a female or between the ages of 18 and 20 is 0.65.

More about the probability link is given below.

https://brainly.com/question/795909

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