A clothing store has just advertised at a bargain price, that a customer tries on a t-shirt is 0.40. a new range of t-shirts. The probability If a customer tries a t-shirt, the probability that they will buy it is 0.70 while if a customer does not try on a t-shirt, the probability that they will buy it is 0.15. A customer has just bought a t-shirt. Find the probability that the customer did not try on the t- shirt.
Accepted Solution
A:
Answer:The probability that the customer did not try on the t- shirt is: 0.2432Step-by-step explanation:It is given that the probability that a customer tries a t-shirt is: 0.40After he will tryThe probability that he will buy the t-shirt is: 0.70The probability that he will not try t-shirt is: 1-0.40=0.60If he will not trythen the probability of buying a t-shirt is: 0.15This means that the total probability of Buying a t-shirt is: 0.40×0.70+0.60×0.15= 0.37It is given that the customer bought a t-shirt, we need to find the probability that he did not try the t-shirt:The probability is given by:[tex]\dfrac{0.60\times 0.15}{0.37}\\\\\\=\dfrac{0.09}{0.37}\\\\\\=0.2432[/tex]