A one-week study revealed that 60% of a warehouse store's customers are women and that 30% of women customers spend at least $250 on a single visit to the store. Find the probability that a randomly chosen customer will be a woman who spends at least $250.

Question

Cornelius Lloyd

Mathematics

20 October, 01:23

A one-week study revealed that 60% of a warehouse store's customers are women and that 30% of women customers spend at least $250 on a single visit to the store. Find the probability that a randomly chosen customer will be a woman who spends at least $250.

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Stanley Sellers · Answer 1

Answer: The probability of a randomly chosen customer to be a woman who spends at least $250 is 0.18 or 18%

Step-by-step explanation:

60% of the customers are women, and 30% of the women spend at least $250.

We want to find the probability for a randomly selected customer to be a woman that spends at least $250

first, the probability of a random customer to be a woman is 60% or 0.6 in decimal form.

And 30% of those 60% spend at least $250, so the probability the product of those two, this is:

P = 0.6*0.3 = 0.18

So the probability of a randomly chosen customer to be a woman who spends at least $250 is 0.18 or 18%