Mario sells men’s and women’s shoes in his shoe store. He is considering selling children’s shoes. He randomly selected 120 customers to participate in a survey. The survey results are shown below. o 42 customers said they would shop for children’s shoes o 78 customers said they would not shop for children’s shoes Mario has an average of 440 customers per month. Based on the survey results, which value is the best estimate of the number of customers that would shop for children’s shoes during an average month?

126 maybe. sorry

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560