What are the possible values of the random variable Z?
The possible values for Z will thus be 1, 2, 3, 4, 5, and 6. The probability of each of these values is 1/6 as they are all equally likely to be the value of Z.
What are the possible values of random variable for the number of heads?
X = “The number of Heads” is the Random Variable. In this case, there could be 0 Heads (if all the coins land Tails up), 1 Head, 2 Heads or 3 Heads. But this time the outcomes are NOT all equally likely.
Which of the following are the values of random variable z representing the number of heads that occur if four coins are tossed?
Any 1 of the 4 outcomes is ‘Tail’ and the remaining three are ‘Head’ Hence, Z = 3 Z=3 Z=3 in this case. All the four outcomes are ‘Head’. So number of heads is 4.
How do you find the possible values of a random variable?
Step 1: List all simple events in sample space. Step 2: Find probability for each simple event. Step 3: List possible values for random variable X and identify the value for each simple event. Step 4: Find all simple events for which X = k, for each possible value k.
What is the random variable What are its possible values and are its values numerical?
What is the random variable, what are its possible values, and are its values numerical? The random variable is x, which is the number of girls in three births. The possible values of x are 0, 1, 2, and 3. The values of the random value x are numerical.
What does the expected value of a random variable represent?
The expected value of a random variable is the weighted average of all possible values of the variable. The weight here means the probability of the random variable taking a specific value.
What must be the value of the probability of each random variable?
The probability of each value of a discrete random variable is between 0 and 1, and the sum of all the probabilities is equal to 1.
What are the possible values of the random variable for the number of heads when you tossed two coins?
The probability of getting two heads on two coin tosses is 0.5 x 0.5 or 0.25.
What is possible value?
Enter ‘possible values’: the suggested notation is that denotes the set of values which variable y contains during the execution of the operation in whose specification is written.
What are the types of random variables?
There are two types of random variables, discrete and continuous.
Which of the following is a random variable whose possible values can be counted?
A discrete random variable has a countable number of possible values.
What is the expected value of the random variable Mcq?
Explanation: The expectation of a random variable X is given by the summation (integral) of x times the function in its interval. If it is a continuous random variable, then summation is used and if it is discrete random variable, then integral is used.
What is the probability of number of heads on a coin?
For a fair coin ipped twice, the probability of each of the possible values for Number of Heads can be tabulated as shown: Number of Heads 0 1 2 Probability 1/4 2/4 1/4 Let X \# of heads observed. X is a random variable. 3/23 Discrete Random Variables
What is the random variable in the coin toss?
X = “The number of Heads” is the Random Variable. In this case, there could be 0 Heads (if all the coins land Tails up), 1 Head, 2 Heads or 3 Heads. But this time the outcomes are NOT all equally likely.
Is flipping a coin twice a discrete or continuous random variable?
Flipping a coin twice, the random variable Number of Heads 2f0;1;2gis a discrete random variable. Number of aws found on a randomly chosen part 2f0;1;2;:::g. Proportion of defects among 100 tested parts 2f0=100;1=100;…;100=100g.
What is the number of heads in a random variable?
For example, the Number of Heads obtained is numeric in nature can be 0, 1, or 2 and is a random variable. De\\fnition (Random Variable) A random variable is a function that assigns a real number to each outcome in the sample space of a random experiment. 2/23 Random Variables De\\fnition (Random Variable)