21.07.2022 - 15:17

The credit department of Lion’s Department Store in Anaheim. California reported that 24% of their sales are cash 24% are paid with a credit card, and 52% with a debit card. Twenty percent of the cash purchases 90% of the credit card purchases, and 65% of

Question:

The credit department of Lion’s Department Store in Anaheim. California reported that 24% of their sales are cash 24% are paid with a credit card, and 52% with a debit card. Twenty percent of the cash purchases 90% of the credit card purchases, and 65% of the debit card purchases are for more than $50.

Ms. Tina Stevens just purchased a new dress that cost $120 What is the probability that she paid cash?

(Round your answer to 3 decimal places.)

Answers (1)
  • Lavada
    April 2, 2023 в 11:50
    The probability that Ms. Tina Stevens paid cash is 0.194. To calculate this, we first need to determine the total percentage of purchases that are for more than $50. We do this by multiplying the percentage of cash purchases that are for more than $50 (20%) by the percentage of total cash purchases (24%), and adding this to the percentage of credit card purchases and debit card purchases that are for more than $50 (90%*24% + 65%*52% = 44.8%). This gives us a total percentage of 64.8% of purchases that are for more than $50. Next, we can calculate the probability that Ms. Stevens paid cash by multiplying the percentage of total purchases that are cash (24%) by the percentage of cash purchases that are for more than $50 (20%), and dividing this by the total percentage of purchases that are for more than $50 (64.8%). This gives us: (24% * 20%) / 64.8% = 0.193798 Rounding to 3 decimal places, we get 0.194. Therefore, the probability that Ms. Tina Stevens paid cash for her $120 dress is \approx imately 0.194.
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