I need help with these short questions 8What properties must

I need help with these short questions

8.What properties must be satisfied by a probability distribution?

9.What is certain event?

10.What is an impossible event?

11.What is the probability of each simple event in a sample space if there are n equally likely simple events?

12.Name the four characteristics of binomial experiment.

13.Give an example of binomial experiment.

14.Give the formula for calculating binomial probabilities.

8.What properties must be satisfied by a probability distribution?

the sum of its probabilities needs to be 1

the probability ranges always is between 0 and 1

9.What is certain event?

some event that his probability is 1

10.What is an impossible event?

an event that have a probability of 0

11.What is the probability of each simple event in a sample space if there are n equally likely simple events?

1 / n

12.Name the four characteristics of binomial experiment.

1) it consists of a sequence of n identical trials;

2) two outcomes, success or failure, are possible on each trial;

3) the probability of success on any trial, denoted p, does not change from trial to trial;

4) the trials are independent.

13.Give an example of binomial experiment.

some experiment that you have a probability of suceess and fail

and you have some sample (n)

14.Give the formula for calculating binomial probabilities.

P(x=X) = nCx * p^x * q^(n-x)