# Question

Show that the two random variables of Exercise 3.102 are not independent.

In exercise

A certain college gives aptitude tests in the sciences and the humanities to all entering freshmen. If X and Y are, respectively, the proportions of correct answers that a student gets on the tests in the two subjects, the joint probability distribution of these random variables can be approximated with the joint probability density

In exercise

A certain college gives aptitude tests in the sciences and the humanities to all entering freshmen. If X and Y are, respectively, the proportions of correct answers that a student gets on the tests in the two subjects, the joint probability distribution of these random variables can be approximated with the joint probability density

## Answer to relevant Questions

The useful life (in hours) of a certain kind of integrated circuit is a random variable having the probability density If three of these circuits operate independently, Find (a) The joint probability density of X1, X2, and ...The following are the drying times (minutes) of 100 sheets coated with polyurethane under various ambient conditions: Construct a frequency distribution of these data, using eight classes. Construct a percentage distribution using the drying- time data of Exercise 3.115. In exercise Use MINITAB or some other computer software to construct a histogram of the coking- time data given in Exercise 3.113. In exercise The p. d. f. of the random variable X is given by Find (a) The value of c; (b) P(X < 1/4 ) and P(X > 1).Post your question

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