Answer to Question #322803 in Statistics and Probability for Mil

Question

Activity #1

Suppose that a coin is to be tossed five times, and let X represent the number of tails that occur. Based on the problem, observe, analyze, and answer the following questions:

How many outcomes are possible?

Construct a table showing the number of tails appear in each outcome and assign this number to this outcome. What is the value of the random variable X?

> Illustrate a probability distribution. What is the probability value P(X) to each value of the random variable? (Use table)

What is the sum of the probabilities of all values of the random variable?

Answer 1

There are $2^5=32$ possible outcomes.

The values of X are 0,1,2,3,4,5.

The sum of probabilities is 0.03125+0.15625+0.3125+0.3125+0.15625+0.03125=1