Padini Concept, a local retail store in Malaysia, recorded the number of shoes purchased by customers (1 pairs, 2 pairs and 3 pairs) based on the number of clothes purchased (1, 2, and 3) for a random sample of 250 customers. The following data was recorded:

a. What is the probability of customers purchasing 2 pairs of shoes?

b. What is the probability of customers purchasing 3 items of clothing?

c. Construct a cumulative probability distribution for the purchase of shoes. What is the probability of the number of shoes purchased being less than 3? What is the probability of number of pairs of shoes purchased being between 2 and 3?

d. Find the expected value and standard deviation for the number of pairs of shoes purchased.

Number of Customers 62 80 110 21 18 31 24 32 Pairs of Shoes 1 3 23 1 3 2 Clothes 2 1 1223