5. Binomial Distribution & Discrete Random Variables

A baker wants to predict how many customers will enter their bakery. Determine which probability distribution they should use given the following information.

(A) There is a 10% chance that any one person who walks by will enter the bakery and 20 people walk by.

A baker wants to predict how many customers will enter their bakery. Determine which probability distribution they should use given the following information.

(B) On average, 2 customers come into the bakery every 15 minutes.

A small electronics retailer tracks the number of customers who arrive to purchase replacement phone chargers. Based on historical data, the store finds that, on average, 3 customers per day buy a charger. The store manager wants to use this information to optimize inventory decisions and reduce the risk of stockouts.

(A) Find the probability that 5 customers buy a charger in a given day.

A small electronics retailer tracks the number of customers who arrive to purchase replacement phone chargers. Based on historical data, the store finds that, on average, 3 customers per day buy a charger. The store manager wants to use this information to optimize inventory decisions and reduce the risk of stockouts.

(B) If the store stocks 5 chargers per day, find the probability that they will have inventory remaining on a given day.