In the population of young children eligible to participate in a study of whether or not their calcium intake is adequate, 52% are 5 to 10 years of age and 48% are 11 to 13 years of age. For those who are 5 to 10 years of age, 17% have inadequate calcium intake. For those who are 11 to 13 years of age, 54% have inadequate calcium intake. Use Bayes's rule to find the probability that a child from this population who has inadequate intake is 11 to 13 years old.

0.7457 = 74.57% probability that a child from this population who has inadequate intake is 11 to 13 years old.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Inadequate intake

Event B: Is 11 to 13 years old.

48% are 11 to 13 years of age.

This means that

For those who are 11 to 13 years of age, 54% have inadequate calcium intake.

This means that

Probability of inadequate calcium intake:

0.17 of 0.52(5 to 10 years old)

0.54 of 0.48(11 to 13 years old). So

Find the probability that a child from this population who has inadequate intake is 11 to 13 years old.

0.7457 = 74.57% probability that a child from this population who has inadequate intake is 11 to 13 years old.

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: