Crowdsourcing Volunteers. Food Rescue US is an organization that facilitates volunteers to collect food from donors and donate to needy recipients. Suppose Food Rescue US has 40 volunteers registered with them, and on a given day, there are 10 donors available to donate, and 10 recipients are in need to receive the food. Every day Food Rescue sequentially sends the notifications to subset of volunteers, and volunteers respond based on their time, and convenience. According to past data, the chance that a randomly selected volunteer responds to Food Rescues notifications is 25%. Suppose that one volunteers response is independent of another volunteers response. Use this information to answer Questions 1 to 5 below.

A: Suppose Food Rescue sends notifications to 10 volunteers. What is the probability that Food Rescue satisfies zero recipients on a given day? (2 pt)

B: Suppose Food Rescue sends notifications to 10 volunteers. What is the probability that 4 or fewer volunteers respond? (2 pt)

C: Suppose Food Rescue sends notifications to 10 volunteers. What is the probability that 5 or more volunteers respond? (2 pt)

D: Suppose Food Rescue sends notifications to 10 volunteers. What is the expected number of volunteers respond? (2 pt)

E: Suppose Food Rescue sends notifications to 10 volunteers. What is the standard deviation of the number of volunteers respond? (2 pt)

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