1) Let X represent the number of tires with low air pressure on a randomly chosen car. The probability of distribution of X is as follows:
X 0 1 2 3 4
P(X) 0.1 0.2 0.4 0.2 0,1

a) Find the probability of 1 tire with low air pressure P (1) =

b) Find the probability of more than 2 tires having low air pressure P (more than 2) =

c) P (all 4 tires) =

d) Compute the expected number of tires with low air pressure.

e) Compute the standard deviation for the number of tires with low air pressure.