The probability of getting an A is 0.15. Find the following if there are 20 students.

a) mean

b) standard deviation

c) atleast 2 get an A

d) No less than 5 get an A

The probability function of a random variable Y is given as follows. ?(? = ?) = { 0.20, ? = 48 // 0.45, ? = 15 /// 0.14, ? = 32 // 0.05, ? = 43 /// 0.16, ? = 54 /// 0, ?. ?.

a) Find the range of the random variable Y.

b) Find the expected value and standard deviation of Y.

c) Let ? = ? 10 + 2.70,

Find the expected value and variance of X

Find the probability of rolling a sum of two dice that is a 7 or a 12. Round answer to 4 decimal places.

Homework:

Give an example of a probability that informs a business decision.

If 58% of the students at a university commute by bus, what is the probability that in a class of 15 students

(a) fewer than 8 students commute by bus ? Answer

(b) more than 10 students commute by bus ? Answer

(c) at least 8 students don't commute by bus ? Answer

Round your final answer to 4 decimal places.

A pair of the die is rolled once. What is the probability that the sum of the value' on the two die  faces is not a 7?

What are the impacts of probability analyses on the various forms of competitions?