Solve the below problem:
Q: At the start of this chapter, the length of different dimensions of an injection-molded part were presented as an example of two random variables. If the specifi cations for Xand Y are 2.95 to 3.05 and 7.60 to 7.80 millimeters, respectively, we might be interested in the probability that a part satisfi esboth specifi cations; that is, P(2.95 < X < 3.05, 7.60 < Y < 7.80). Each length might be modeled by a normal distribution. However, because the measurements are from the same part, the random variables are typically not independent. Therefore,a probability distribution for two normal random variables that are not independent is important in many applications.