Problem 1: The number of chocolate chips in an 18-ounce bag chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips.
a. What is the probability that a randomly selected bag contains between 1000 and 1500 chocolate chips?
b. What is the probability that a randomly selected bag contain fewer than 1100 chocolate chips?
c. What proportion of bags contains more than 1200 chocolate chips?
d. What is the percentile rank of a bag that contains 1425 chocolate chips?
Problem 2: Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. Compute the probability. Be sure to draw a normal curve with the area curve with the area corresponding to the probability shaded.