Giving a test to a group of students, the grades and gender are summarized below

A B C Total
Male 17 5 2 24
Female 7 11 12 30
Total 24 16 14 54

If one student was chosen at random,

find the probability that the student was female.

30/54

evaluate the integral sin(x^2)dx

you cannot do that integral with elementary functions. Here's what wolframalpha says:

http://www.wolframalpha.com/input/?i=integral+sin(x%5E2)+dx

there answer is in infinite series

that how they solve it

To find the probability that the student chosen at random is female, we need to use the following formula:

Probability (P) = Number of desired outcomes / Total number of outcomes

In this case, the number of desired outcomes is the total number of females, which is 30. The total number of outcomes is the sum of all students, which is 54.

So, using the formula, we can calculate the probability:

P (female) = 30 / 54

Therefore, the probability that the student chosen at random is female is 30/54, which simplifies to 5/9 or approximately 0.56.