For Problems or Items #1 through #10, consider the following context: The management team at The Pine Barrens Regional Medical Center (TPBRMC) in South Jersey wants to assure adequate staffing in labor and delivery during the overnight hours from midnight until 8 AM when staffing is limited; anticipated births are not planned for these overnight hours so any deliveries are walk-ins or unexpected. According to hospital records, on average three babies are born during an overnight shift. [COMMENTS & HINTS: What discrete probability distribution best describes this context? Express answers rounded to the nearest whole percentage with percent symbol as #% or ##%.]

#1: What is the likelihood that on any randomly selected overnight shift, the average or expected number of babies are born at TPBRMC?

#2: What is the chance that during any randomly selected overnight shift, no more than the average or expected number of babies are born at TPBRMC?

#3: What is the chance that during any randomly selected overnight shift, more than the average or expected number of babies are born at TPBRMC? [COMMENTS & HINTS: Think complementary probabilities.]

#4: What is the chance that during any randomly selected overnight shift, fewer than the average or expected number of babies are born at TPBRMC? [COMMENTS & HINTS: What is its complementary probability?]

#5: What is the chance that during any randomly selected overnight shift, no fewer than the average or expected number of babies are born at TPBRMC? [COMMENTS & HINTS: What is its complementary probability?]

#6: What is the likelihood that during any randomly selected overnight shift, exactly four babies are born at TPBRMC?

#7: What is the chance that during any randomly selected overnight shift, at least two but no more than five babies are born at TPBRMC?

#8: What is the chance that during any randomly selected overnight shift, no babies are born at TPBRMC?

#9: What is the chance that during any randomly selected overnight shift, at least one baby is born at TPBRMC?

#10: What is the chance that during any randomly selected overnight shift, more than six babies are born at TPBRMC?

I literally have no idea how to use Poisson Distribution here. pleaseeee help. I'm using Google sheets/Excel to do these, so if someone could help with the function to properly do these as well and get the answer... that'd be amazing