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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.
Find the mean for the random variable X, the number of students who work full time in sample of size 16. Please round your answer to two decimal places.
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