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Construct such an experiment. Write all letters from your name and surname on the separates sheets...

Construct such an experiment. Write all letters from your name and surname on the separates sheets of paper. My name is Mazen Soliman

If this letter is from your name and it is a vowel, then it has value 5.

If this letter is from your name and it is a consonant, then it has value -3.

If this letter is from your surname and it is a vowel, then it has value 2.

If this letter is from your surname and it is a consonant, then it has value -1.

(For example, my name is VILMA and surname NEKRASAITE-LIEGE, thus V has the value -3, I has the value 5, but the second I, which is in my surname has value 2.)

Now you have to mix all these sheets, and randomly select one. Let X is the value on that selected sheet.

1. (1 point) Find the probability density and cumulative distributional function of X.

2. (1 point) What is the mean and variance of X?

3. (0.5 points) What is the mode of X and what it means?

Math   Statistics-And-Probability   
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