Question

38 fill in the blank 1 point a couple plans to have 5 children. how many gender sequences are possible? type your answer... 39 fill in the blank 3 points use the bivariate table to answer the following questions. find the probability that the student is female given the student is a nursing major. (round to the nearest thousandth as needed) type your answer...

Explanation:

Step1: Recall the formula for conditional probability

The formula for conditional probability is \(P(A|B)=\frac{P(A\cap B)}{P(B)}\). In the context of a contingency table, if \(A\) is the event that a student is female and \(B\) is the event that a student is a nursing major, then \(P(A|B)=\frac{\text{Number of female nursing majors}}{\text{Total number of nursing majors}}\)

Step2: Identify the values from the table

From the table, the number of female nursing majors is \(600\), and the total number of nursing majors is \(698\)

Step3: Calculate the probability

\(P=\frac{600}{698}\approx 0.860\)

Answer:

\(0.860\)