Consider a statistical experiment where you flip two coins and you are interested in how many heads flipped. (1) Write a description of the random variable describing this experiment, i.e. X = ”some description” (2) Write a probability distribution describing the probability of the outcomes of this event. (3) What is the expected number of heads flipped?

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Consider a statistical experiment where you flip two coins and you are interested in how many heads flipped.

(1) Write a description of the random variable describing this experiment, i.e. X = ”some description”

(2) Write a probability distribution describing the probability of the outcomes of this event.
(3) What is the expected number of heads flipped?
(4) What is the variance and standard deviation of the number of heads flipped?

 

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(1) Random variable : A random variable is defined as a function which assigns numerical value to every possible outcomes of a random experiment. 

For example : Number of times getting a six when in a random experiment of rolling a die, Number of times drawing a red ball from the basket containing red ball and white ball, Number of goals in a soccer match etc.

The domain of a random variable is a complete sample space and the range of a random variable is a set of real numbers. 

 

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