A salesman has scheduled two appointments to sell Al humidifier. His first appointment will lead to a sale with probability 0.38 and his second appointment will lead independently to a sale with probability 0.68. Any sale made is equally likely to be either for the deluxe model with a selling price of $800 per unit, or the standard model, with a selling price of $400 per unit. Determine the probability mass function of X, the total dollar value of all sales. Write your answer in a probability distribution table form. X P(x) 0.1984 400 0.2716 800 0.3362 1200 0.1292 1600 0.0646

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A salesman has scheduled two appointments to sell Al humidifier. His first
appointment will lead to a sale with probability 0.38 and his second appointment
will lead independently to a sale with probability 0.68. Any sale made is equally
likely to be either for the deluxe model with a selling price of $800 per unit, or the
standard model, with a selling price of $400 per unit. Determine the probability
mass function of X, the total dollar value of all sales. Write your answer in a
probability distribution table form.
D
X
P(x)
0
0.1984
400
0.2716
800
0.3362
1200
0.1292
1600
0.0646
Transcribed Image Text:A salesman has scheduled two appointments to sell Al humidifier. His first appointment will lead to a sale with probability 0.38 and his second appointment will lead independently to a sale with probability 0.68. Any sale made is equally likely to be either for the deluxe model with a selling price of $800 per unit, or the standard model, with a selling price of $400 per unit. Determine the probability mass function of X, the total dollar value of all sales. Write your answer in a probability distribution table form. D X P(x) 0 0.1984 400 0.2716 800 0.3362 1200 0.1292 1600 0.0646
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