Question

In: Statistics and Probability

The number of students in the MPH program by county is given below. If a student...

The number of students in the MPH program by county is given below. If a student is selected at random from this dataset, find the probability that:

county	# of students	percentage
escambia	106	21.2
walton	151	30.2
santa rosa	150	30
okaloosa	93	18.6
total	500	100

MPH program (Show your work)

The student is from Escambia county
The student is from Santa Rosa county
The student is from either Escambia or Santa Rosa county
The student is not from Santa Rosa county

(Show your work)

Expert Solution

(A) P(Escambia county) = (number of students from Escambia county)/(total students)

where number of students from Escambia county= 106 and total students = 500

P(Escambia county) = 106/500 = 0.212

(B) P(Santa Rosa county) = (number of students from Santa Rosa county)/(total students)

where number of students from Santa Rosa county= 150 and total students = 500

P(Santa Rosa county) = 150/500 = 0.300

(C) P(Santa Rosa county or Escambia county) = P(Santa Rosa county) + P(Escambia county)

use answer from part A and B, we get

P(Santa Rosa county or Escambia county) = 0.212 + 0.300

or

P(Santa Rosa county or Escambia county) = 0.512

(D) P(not from Santa Rosa county) = 1- P(Santa Rosa county) [Using complement rule]

use answer from part B to get P(Santa Rosa county) = 0.3

this gives us

P(not from Santa Rosa county) = 1- P(Santa Rosa county) = 1 - 0.3

or

P(not from Santa Rosa county) = 0.700

orchestra answered 2 years ago

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