A telegraphic communications system transmits the signals dot and dash. Assume that the statistical properties of the obstacles are such that an average of 2/5 of the dots and 1/3 of the dashes are changed. Suppose that the ratio between the transmitted dots and the transmitted dashes is 5:3. What is the probability that a received signal will be the same as the trans mitted signal if (a) the received signal is a dot, (b) the received signal is a dash.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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A telegraphic communications system transmits the signals dot
and dash. Assume that the statistical properties of the obstacles
are such that an average of 2/5 of the dots and 1/3 of the dashes
are changed. Suppose that the ratio between the transmitted dots
and the transmitted dashes is 5:3. What is the probability that a
received signal will be the same as the trans mitted signal if (a) the
received signal is a dot, (b) the received signal is a dash.
Transcribed Image Text:A telegraphic communications system transmits the signals dot and dash. Assume that the statistical properties of the obstacles are such that an average of 2/5 of the dots and 1/3 of the dashes are changed. Suppose that the ratio between the transmitted dots and the transmitted dashes is 5:3. What is the probability that a received signal will be the same as the trans mitted signal if (a) the received signal is a dot, (b) the received signal is a dash.
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