Probabilities

Which is not a property of a Probabilityt Mass Function?

• f(x) = P(X=x)

• 0 < f(x) < 1

• the sum of f(x) is equal to 1

• f(x) = P(x)

Study the distribution and identify whether it is a valid probability distribution or not valid probability distribution. (Your answer will either be valid or not valid in small letters only)

Study the distribution and identify whether it is a valid probability distribution or not valid probability distribution. (Your answer will either be valid or not valid in small letters only)

Study the distribution and identify whether it is a valid probability distribution or not valid probability distribution. (Your answer will either be valid or not valid in small letters only)

Study the distribution and identify whether it is a valid probability distribution or not valid probability distribution. (Your answer will either be valid or not valid in small letters only)

Study the distribution and identify whether it is a valid probability distribution or not valid probability distribution. (Your answer will either be valid or not valid in small letters only)

Consider rolling a single die. The table shows the probability distribution of rolling a fair die where the random variable X is the number of dots. the mean was already solved. What is the implication of the value of the mean towards the given probability distribution? (5 points)

The table shows a probability distribution of 𝑋. Find P(less than 5)

• 3/7

• 4//7

• 5/7

• 6/7

A box contains 4 colored facemasks. Each mask is labeled with numbers 1, 2, 3, 4. A person randomly pick one facemask to ware. Let 𝑋 be the random variable for the number on the facemask. What are the possible values for the random variable 𝑋?

• 𝑋 = {0, 1, 2, 3, 4}

• 𝑋 = {0, 2, 4}

• 𝑋 = {0, 1, 3, 5}

• 𝑋 = {1, 2, 3, 4}

Let 𝑋 be the number of encoding errors a student makes on a given page. The table shows a probability distribution of 𝑋.

• 0.02

• 0.04

• 0.10

• 0.09