Equal Cruise-Control Settings. Two autos side by side on a highway moving at 65 mph attempt to move together at the same speed by setting their cruise-control devises at 65 mph. As in many instances,...

Equal Cruise-Control Settings. Two autos side by side on a highway moving at 65 mph attempt to move together at the same speed by setting their cruise-control devises at 65 mph. As in many instances, nature does not always correspond to one’s wishes and the actual cruise-control settings are independent normally distributed random variables V1 and V2 with mean μ = 65 and standard deviation σ = 0.4. Find the probability that the autos move at the same speed. Find P{|V₁
− V₂|