In the population of young children eligible to participate in a study of whethe

Question

In the population of young children eligible to participate in a study of whether or not their calcium intake is adequate, 53 % are 5 to 10 years of age and 47 % are 11 to 13 years of age.
For those who are 5 to 10 years of age, 15 % have inadequate calcium intake. For those who are 11 to 13 years of age, 57 % have inadequate calcium intake.

Let A= "5 to 10 years old" and Ac= "11 to 13 years old" (these are the only two age groups under consideration).

Let C= "adequate calcium intake" and C^c= "inadequate calcium intake".

Calculate (Enter all answers to 2 decimal places, unless otherwise specified.) :

P(A)=

P(A^c) =

P(C^c | A^c) =

P(C^c | A^c) =

Enter to 4 decimal places.

P(C^c)=

Explanation / Answer

a) P(A) = P(5 to 10 years of age) = 0.53

b) P(A^c) = P(11 to 13 years old) = 0.47

c) P(C^c | A^c) = P(Inadequate calcium intake | 11 to 13 years old) = 0.57 (Since it is given that 57% under the age of 11 to 13 years old have inadequate calcium intake.)

d) Same question has been written twice.

e) P(C^c) = P(Inadequate calcium intake) = 0.53*0.15 + 0.47*0.57 = 0.3474

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