Question
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
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)
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started