A fair coin is tossed until either a tail occurs or a total of 4 tosses have been made, whichever comes first. Let X denote the number of tosses. a) Build the probability distribution of X. b) Find the mean value of X. c) Find the standard deviation of X.

A fair coin is tossed until either a tail occurs or a total of 4 tosses have been made, whichever comes first. Let X denote the number of tosses. a) Build the probability distribution of X. b) Find the mean value of X. c) Find the standard deviation of X.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 1E

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Question

A fair coin is tossed until either a tail occurs or a total of 4 tosses have been made, whichever comes
first. Let X denote the number of tosses.
a) Build the probability distribution of X.
b) Find the mean value of X.
c) Find the standard deviation of X.

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