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?

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.