Using problem #8:find the mean, variance and standard deviation

8.Magnetic Resonance Imaging (MRI) is a process that produces internal body images using a strong magnetic field.Some patients become claustrophobic and require sedation because they are required to lie within a small, enclosed space during the MRI test.Suppose 20% of all patients undergoing MRI testing require sedation due to claustrophobia.If 6 patients are selected at random, find the probability that the number of patients in these six

who require sedation is

a.Exactly 2

P (X = 2) = 0.2048

b.None

P (X = 0) = 0.3277

c.Exactly 4

P (X = 4) = 0.0064

d.At least 5

0.0016

e.At most 3