i need help A certain county health department has received 25 applications fr a

Question

i need help A certain county health department has received 25 applications fr an opening that exists for u public health mnsc. these applicants. 10 arc over the age of 30 and 15 arc under the age oi 30. Seventeen of the applicants hold bachelor's degree and eight has masters degree. Of tluxse under '.0 years age, six haw masters degrees. 11 a selection (nan among these 25 applicants is made at random, what is the probability that a person over age ol 30 or a person with a masters degree will be selected?

Explanation / Answer

Among the 25 applicants, 10 are over the age of 30.

Therefore, P(greater than 30) is 10/25.

Among the 25 applicants, 8 has masters degree.

Therefore, P(master degree) is 8/25.

Six have master degrees thoese are under 30. Therefore, master degree those over the age of 30 is 2.

Therefore, P( greater than 30 and master degree) is 2/25.

So,

P(master degree) + P(master degree) - P( greater than 30 and master degree) = (10/25)+(8/25)-(2/25) = (16/25) = 0.64.

Hence, the probability that a person over 30 or a person with a master's degree will be selected is 0.64.

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