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1. Use the normal distribution table to find: a) Pz>1.58) b) P(z = 1) c) P(z 1.2

ID: 3323946 • Letter: 1

Question

1. Use the normal distribution table to find: a) Pz>1.58) b) P(z = 1) c) P(z 1.22) Using your knowledge of normal distribution and the standard normal distribution table, explain 2. why most table of values never typically go past z 4? . A student finds that she has an average of 88.7 on her exams in her Math 115 course. She calculates a standard deviation 1.8 based on her test data. Her best friend has the same test average in the same course and has a variance of 3.24 on her test data. Based on scores alone, who is the stronger student? what percent of the standard normal distribution lies between the following values? a) 4, ABC Z-0 and z-2 b) Z=-2 and z=0 c) Z-2 and z-2 5. Calculate the standard deviation for the given data set (Show all work!): (59,87,93,100 The time it takes an acrylic paint to dry is normally distributed. If the mean is 2 hours and 25 minutes with a standard deviation of 21 minutes, find the probability the drying time will be: a) Less than 2 hours 45 minutes b) Between 2.5 hours and 3.75 hours 6.

Explanation / Answer

Given z is standard normal

So using the table above we can calculate the values of the probabilities

P(z>1.58)=0.057

P(z=1)=0

P(z<1.22)=0.8888

B) since this is the continuous distribution getting a particular point has zero probability.