Question 1:
Use the data file "data for question 1" to answer this question.
In this question, the variable of interest is the daily production of central processing units (CPUs) at a chip manufacturing factory. In addition to CPUs, this facility also makes memory chips, chips used in graphic boards, and similar products. This data file is a sample of 500 days of CPU production.
a.) Construct the histogram for this data. Manipulate the number of bins and class dimensions to produce a histogram that provides a good idea of the distribution of this data. Choose the cutpoint option.
b.) Once you have constructed the histogram, construct the absolute and relative frequency distribution for this data.
c.) Provide the 5 number summary. What do these numbers mean?
d.) Provide the mean and standard deviation for this data. What do these numbers mean?
e.) Use the empirical rule to construct 3 intervals: The interval that contains the middle 68% of the data, the interval that contains the middle 95% of the data, and the interval that contains the middle 99.73% of the data.
Question 2:
There is no data set for this problem.
In order to be hired as an actuary, an applicant must take and successfully pass an exam prepared by the Actuarial Society of America. The initial exam concerns mathematics and mathematical statistics. The scores from this exam are normally distributed (i.e., the histogram of exam scores is bell-shaped and symmetric). Furthermore, the mean is 60, and the standard deviation is 12. Use this information to answer the following questions:
a.) What is the probability that a randomly selected individual who took the exam has a score less than 70?
b.) What is the probability that a randomly selected individual who took the exam has a score greater than 53?
c. What is the probability that a randomly selected individual who took the exam has a score between 53 and 70?
d. What is the score that has 20% of the scores below it (or, 80% of the scores above it)?
e. What is the score that has 95% of the scores below it (or, 5% of the scores above it)?
Attachment:- data_.rar