(4) 5. The mayor of the city of Windsor was informed that household water usage is a normally distributed random variable with a mean of 95 litres and a standard deviation of 16 litres per day. (a) (2 pts) Find the probability that a randomly chosen household uses more than 87 litres per day. (b) (2 pts) Find the probability that a randomly chosen household uses between 75 and 95 litres per day. . A manufacturer of bike racks for cars claims that the assembly time X for a particular model is normally distributed with a mean of 1 hour and a standard deviation of 0.10 hours. (2pts) Find the probability that it takes at most 1.1 hours to assemble a bike rack of this model. (2 pts) Find the probability that it takes between 0.8 hours and 1.1 hours to assemble a bike rack of this model. (4 pts) Find the assembly time that exceeds 97.5% of all other assembly times for bike racks of this model