Sales data have been collected over several months at the Cozi Real Estate Agent. In particular, the agency has been interested in the probability of selling 0, 1, 2, 3, 4, or 5 properties in one week. They have found the following probabilities for weekly new property sales: • The probability of selling at least one property is 0.91. • The agency never sells more than 5 properties in one week. • The probability of selling 5 properties is half the probability of selling 2 properties. • The probability of selling 1 property is the same as the probability of selling 4 properties. • The probability of selling 3 properties is three times the probability of selling zero properties. • The probability of selling 2 properties is 0.24. a) Write out the pmf (in table form) of the weekly property sales at the Cozi Real Estate Agent. Let X be the number of new properties sold in one week at Cozi. b) What is the probability that the agency sells at most 2 properties in one week?

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Chapter1: Functions And Models
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Sales data have been collected over several months at the Cozi Real Estate Agent.
In particular, the agency has been interested in the probability of selling 0, 1, 2, 3, 4,
or 5 properties in one week. They have found the following probabilities for weekly
new property sales:
• The probability of selling at least one property is 0.91.
• The agency never sells more than 5 properties in one week.
• The probability of selling 5 properties is half the probability of selling 2
properties.
• The probability of selling 1 property is the same as the probability of selling 4
properties.
• The probability of selling 3 properties is three times the probability of selling
zero properties.
• The probability of selling 2 properties is 0.24.
a) Write out the pmf (in table form) of the weekly property sales at the Cozi Real
Estate Agent. Let X be the number of new properties sold in one week at Cozi.
b) What is the probability that the agency sells at most 2 properties in one week?
Transcribed Image Text:Sales data have been collected over several months at the Cozi Real Estate Agent. In particular, the agency has been interested in the probability of selling 0, 1, 2, 3, 4, or 5 properties in one week. They have found the following probabilities for weekly new property sales: • The probability of selling at least one property is 0.91. • The agency never sells more than 5 properties in one week. • The probability of selling 5 properties is half the probability of selling 2 properties. • The probability of selling 1 property is the same as the probability of selling 4 properties. • The probability of selling 3 properties is three times the probability of selling zero properties. • The probability of selling 2 properties is 0.24. a) Write out the pmf (in table form) of the weekly property sales at the Cozi Real Estate Agent. Let X be the number of new properties sold in one week at Cozi. b) What is the probability that the agency sells at most 2 properties in one week?
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