A key ring contains four office keys that are identical in appearance, but only one will open your office door. Suppose you randomly select one key and try it. If it does not fit, you randomly select one of the three remaining keys. If it does not fit, you randomly select one of the last two. (a) List the elements of the sample space S using the letters H and M for “hit” and “miss”, respectively. (b)To each sample point in S, assign a value x of the random variable X representing the number of keys that you try until you find the one that opens the door. (c) Calculate the values of P(X = x) and display them in a table.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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A key ring contains four office keys that are identical in appearance, but only one will
open your office door. Suppose you randomly select one key and try it. If it does not
fit, you randomly select one of the three remaining keys. If it does not fit, you
randomly select one of the last two.
(a) List the elements of the sample space S using the letters H and M for “hit” and
“miss”, respectively.
(b)To each sample point in S, assign a value x of the random variable X representing
the number of keys that you try until you find the one that opens the door.
(c) Calculate the values of P(X = x) and display them in a table.

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