# Random Variables and Their Probability Distributions

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- Q1
Classify if the random variables is discrete or continuous.

**The number of cars sold during a given month**Users enter free textType an Answer30s - Q2
Classify if the random variables is discrete or continuous.

**The price of a shirt.**Users enter free textType an Answer30s - Q3
Classify if the random variables is discrete or continuous.

**The number of customers who visit a hospital during any given hour.**Users enter free textType an Answer30s - Q4
Classify if the random variables is discrete or continuous.

**The number of customers who visit a hospital during any given hour.**Users enter free textType an Answer30s - Q5
Classify if the random variables is discrete or continuous.

**The number of accidents that recorded during a certain day.**Users enter free textType an Answer30s - Q6
Each of the following tables lists certain values of X and their probabilities. Verify which table represents a valid probability.

Users enter free textType an Answer30s - Q7
The table gives the probability distribution of a discrete random variable X. Find the probability that X assumes a value in the closed interval 0 to 4.

Users enter free textType an Answer30s - Q8
The table gives the probability distribution of a discrete random variable X. Find the probability that X assumes a value in the interval 2 to 5.

Users enter free textType an Answer30s - Q9
Suppose that two balanced dice are rolled. Let X be a random variable denotes the absolute value of the difference of the two numbers. What are the possible values of the random variable X ?

0, 1, 2, 3, 4, 5, 6

-5,-4,-3,-2,-1, 0, 1, 2, 3, 4, 5

1, 2, 3, 4, 5

0, 1, 2, 3, 4, 5

30s - Q10
The table gives the probability distribution of a discrete random variable X. Find the missing value?

Users enter free textType an Answer30s - Q11
A random variable can assume five values: 0,1,2,3,4 . A portion of the probability distribution is shown below.

**Find P(X=3).**Users enter free textType an Answer30s - Q12
A random variable can assume five values: 0,1,2,3,4 . A portion of the probability distribution is shown below.

**Calculate the mean of X. Express your answer in two decimal places.**Users enter free textType an Answer30s - Q13
A random variable can assume five values: 0,1,2,3,4 . A portion of the probability distribution is shown below.

**Calculate variance of X.****Express your answer in two decimal places.**Users enter free textType an Answer30s - Q14
A random variable can assume five values: 0,1,2,3,4 . A portion of the probability distribution is shown below.

**Calculate standard Deviation of X.****Express your answer in two decimal places.**Users enter free textType an Answer30s - Q15
A normal random variable X has mean 10 and standard deviation 2, find the Z value o f

**X= 13.5.****Express your answer in two decimal places.**Users enter free textType an Answer30s