Suppose X is the number of courses an undergraduate student…

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] 

Hotel manager plans to increase each room price/per night by…

Hotel manager plans to increase each room price/per night by $25 in his hotel during a city event. Then the mean of room price/per night at his hotel during the event [fill1], and the standard deviation of room price/per night at his hotel during the event [fill2].  

Please note that this question consists of five parts. You m…

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.  A software company developed a spell-check program that correctly identifies spelling errors 86% of the time. A user runs the spell-check program on 12 randomly selected documents with an error. Let X be the number of documents where the spell-check program correctly detects an error. What is the distribution of X? Clearly state the parameters of the distribution. Write down the probability mass function f(x) for the distribution of X. That is, write the probability mass function specific for the random variable of interest in this problem, not just the general formula. What is the probability that the spell-check program correctly detects an error in exactly 9 documents? What is the probability that the spell-check program correctly detects an error in at most 10 documents? Would it be unusual if the spell-check program correctly detects an error in all 12 documents? Show any calculation relevant to your answer.

Carry out the following conversions (unit analysis). Write t…

Carry out the following conversions (unit analysis). Write the answer to the correct number of significant figures. (5 points)   The distance from Orlando, Fl to Atlanta, Ga is 455 miles. If you can drive at the average speed of 57.5 miles per hour, how long (in minutes) it will take to reach Atlanta?