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Laptop buyers can pay their purchases in cash, or using a credit card, or a debit card. The manager observed that55% of the shoppers used credit cards, 15% paid in cash, and the rest paid with their debit cards.a. Write the sample space:b. Assign the probability for each sample space.

Question

Laptop buyers can pay their purchases in cash, or using a credit card, or a debit card. The manager observed that55% of the shoppers used credit cards, 15% paid in cash, and the rest paid with their debit cards.a. Write the sample space:b. Assign the probability for each sample space.

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Solution

a. The sample space, which is the set of all possible outcomes, can be written as: S = {Credit Card, Cash, Debit Card}

b. The probability for each outcome in the sample space is as follows:

  • P(Credit Card) = 0.55 (or 55%)
  • P(Cash) = 0.15 (or 15%)
  • P(Debit Card) = 1 - P(Credit Card) - P(Cash) = 1 - 0.55 - 0.15 = 0.30 (or 30%)

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