question below

Studies have shown that human body temperature follows the normal distribution with an average/mean of 36.80 C ( u =36.8 ) and a standard deviation of 0.35. C (o = 0.35 ). A certain hospital has set the lower limit for diagnosing a patient with fever to 38.10 C. a) What is the probability that a randomly chosen person will be diagnosed with fever at this hospital? b) What is the probability for the body temperature of a randomly chosen person to be between 36.5 C and 37.C? c) What is the probability that the average temperature for a group of 10 randomly chosen people to be under 37C? d) What is the probability that exactly 3 of the people in this group have a body temperature between 36.5Cog 37.C