Histogram of Probability Distribution

A survey was conducted on the number of cups of coffee consumed by each client with a meal. The results are tabulated in the table on the left. Let the random variable X be the number of cups of coffee. What is the probability distribution of X?

• 
• 
• 
• 

Let the random variable X be the number of best friends each of a Grade 3 student. The probability distribution of X is shown on the left. What is the probability histogram of this distribution?

• 
• 
• 
• 

Let the random variable X be the number of tails in a probability experiment of tossing a coin thrice.

The probability distribution of X is shown on the left. What is the probability histogram for this distribution?

• 
• 
• 
• 

Does the table represent a probability distribution?

• Yes, it satisfies both properties of a probability distribution.

• No, the sum of all probabilities is not equal to 1.

• No, the probability values are not between 0 and 1, inclusive.

• No, it does not satisfy both properties of a probability distribution.

In a survey of Grade 3 students, the table on the left was obtained for the number of best friends each student had. Let the random variable X be the number of best friends. What is the probability distribution of X?

• 
• 
• 
• 

Does the table represent a probability distribution?

• Yes, it satisfies both properties of a probability distribution.

• No, the sum of all probabilities is not equal to 1.

• No, the probability values are not between 0 and 1, inclusive.

• No, it does not satisfy both properties of a probability distribution.

Let the random variable X be the number of tails in a probability experiment of tossing a coin thrice.
The probability histogram of X is shown on the left.
Determine the following probability (decimal form/don't round off): P(1≤X≤2)

Let the random variable X be the number of best friends each of a Grade 3 student. The probability histogram of X is shown on the left. Determine the following probability (decimal form/don't round off): P(X≤1)