Of the 50 students in an undergraduate statistics class, 60% send email and/or text messages during any given lecture. they have a 50/50 chance of being caught by their professor, who is not amused by such unprofessional conduct. the eagle-eyed professor never charges an innocent student. what is the probability a student sends an email and/or text message during lecture and gets caught?

0.3 or 30%

Step-by-step explanation:

Since no innocent student will ever be caught, the probability that a student sends an email and/or text message during a lecture AND gets caught is given by the product of the probability of a student sending a message (60%) by the probability of the professor catching them (50%) :

The probability is 0.3 or 30%.

37.16

Step-by-step explanation:

Find the area of the square, 8x7=56.

Then use the formula 2πr which is 2x3.14x3=18.84.

And finally, to calculate the area of the shaded region, subtract the area of the square and the area of the circle.

56-18.84=37.16.