1) The average number of calories in a chocolate bar is 225. Suppose that the distribution of calories is approximately normally distributed with standard deviation is 10. Find the probability that a randomly selected chocolate bar will have a) Between 200 and 220 calories b) Less than 200 calories.

Yoonie is a personnel manager in a large corporation. Each month she must review  10  of the employees. From past experience, she has found that the reviews take her approximately  4  hours each to do with a population standard deviation of  1.1  hours. Let  X  be the random variable representing the time it takes her to complete one review. Assume  X  is normally distributed. Let  X¯¯¯  be the random variable representing the mean time to complete the  10  reviews. Assume that the  10  reviews represent a random set of reviews. (a) What is the mean, standard deviation, and sample size? Mean = Standard Deviation = Sample Size = (b) Complete the distributions. Round all decimals to four decimal places. X∼ ( Number, Number)   X¯¯¯∼ ( Number, Number)

Assume that adults have IQ scores that are normally distributed with a mean of µ = 100 and a standard deviation o = 20. Find the probability that a randomly selected adult has an IQ between 80 and 120.

Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?