Please note that this question consists of five parts. You may use MINITAB to find a final answer. However you MUST show all the mathematical work to get to the final answer. Just giving the answer without adequate work/explanation may result in zero for the question.  In a particular region, the daily rainfall in millimeters in summer is known to follow a normal distribution with a mean of 14 mm and a standard deviation of 4.2 mm. What is the probability that on a randomly selected summer day, the rainfall is more than 17 mm? What is the probability that the rainfall on a randomly selected summer day is between 10 mm and 19 mm? What is the maximum amount of rainfall for the driest 2% of summer days? Rainfall is recorded for a random sample of 9 summer days. What is the distribution, mean and standard deviation of the sampling distribution of the sample mean of rainfall for these 9 days? What is the probability that the sample mean of rainfall for these 9 days is more than 17 mm?

An analyst is studying the relationship between hotel room price and number of local events. The response variable is:

Suppose X is the number of courses an undergraduate student in a particular major is enrolled in for the current semester. The probability distribution of X is: x 1 2 3 4 5 6 P(X=x) 0.03 0.11 0.18 0.24 0.29 0.15 What is the expected number of courses that an undergraduate student is enrolled in? [fill1] Given that a student has at least 3 courses, what is the probability the the student has less than 5 courses? [fill2] 

Suppose a sample of size n is randomly selected from some population.  For large n the sampling distribution of the sample mean is approximately normal. This is a [fill1] statement. The mean of the sampling distribution of the sample mean [fill2] as n increases. The variance of the sampling distribution of the sample mean [fill3] as n increases.

Which is true for a right-skewed random variable? 

At a university, 26% of students live on campus, and the rest live off campus. A survey shows that 82% of on-campus students use the university gym, and 45% of off-campus students use the university gym. A student is selected at random. If the student is found to be a gym user, what is the probability that the student lives on campus? 

I can bring up my grade by asking the professor for no extra work during, or after, the semester ends.  

Answer the following is not considered matter    

Name the change in state of matter   a) solid to gas [s1] b)gas to solid [s2]

Why can mixtures be separated by physical means but compounds can not?