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Homework answers / question archive / If sam can purchase up to 3 ice cream cones and the probabilities that he/she purchases 0, 1, 2, or 3, are 0

If sam can purchase up to 3 ice cream cones and the probabilities that he/she purchases 0, 1, 2, or 3, are 0

Statistics

If sam can purchase up to 3 ice cream cones and the probabilities that he/she purchases 0, 1, 2, or 3, are 0.20, 0.45, 0.35, and 0.05 respectively, is this a valid probability distribution?

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Sum of probability = 0.20 + 0.45+ 0.35+ 0.05

= 1.05

This is not a valid probability distribution as sum of all probability do not add to 1. So option (a) No.as they do not add to 1 is correct.