A local television station sells 15-second, probability distribution of x is given by the 15 30 60 P(x) 0.1 0.4 0.5 (a) Find the mean length for commerci 43.5 V sec (b) If a 15-second spot sells for $600, Consider a new variable, y - cost, $ 910

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A local television station sells 15-second, 30-second, and 60 second advertising spots. Let x denote the length of a randomly selected commercial appearing on this station, and suppose that the
probability distribution of x is given by the table below.
15
30
60
P(x) 0.1 0.4 0.5
(a) Find the mean length for commercials (in seconds) appearing on this station.
43.5
v sec
(b) If a 15-second spot sells for $600, a 30-second spot for $800, and a 60-second spot for $1,000, find the average amount paid (in dollars) for commercials appearing on this station. (Hint:
Consider a new variable, y - cost, and then find the probability distribution and mean value of y.)
$ 910
Transcribed Image Text:MY NOTES A local television station sells 15-second, 30-second, and 60 second advertising spots. Let x denote the length of a randomly selected commercial appearing on this station, and suppose that the probability distribution of x is given by the table below. 15 30 60 P(x) 0.1 0.4 0.5 (a) Find the mean length for commercials (in seconds) appearing on this station. 43.5 v sec (b) If a 15-second spot sells for $600, a 30-second spot for $800, and a 60-second spot for $1,000, find the average amount paid (in dollars) for commercials appearing on this station. (Hint: Consider a new variable, y - cost, and then find the probability distribution and mean value of y.) $ 910
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