Instructions: Answer the following questions completely. Show all complete solutions and/or justifications. Suppose the mean monthly income of the households in the exclusive subdivisions in Metro Manila is 200,000 with a standard deviation 150,000. What is the probability of selecting a random sample of 100 families whose sample mean monthly income is larger than 250,000? Suppose the weights of female adults are normally distributed with mean u=120 lbs. and standard deviation =10 lbs. What is the probability of selecting a random sample of 25 female adults whose total weights will exceed the elevator's capacity if its maximum capacity is 2, 875 lbs