Show that the two random variables of exercise 102 are not, Ask an Expert

Statistics

Show that the two random variables of Exercise 102 are not independent.

Exercise 102

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

What are the probabilities that a student will get

(a) less than 0.40 on both tests;

(b) more than 0.80 on the science test and less than 0.50 on the humanities test?

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91886159

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

Based on labor statistics17nbspof workers in a particular

Based on labor? statistics,17% of workers in a particular profession are female. Complete parts a through e below based on a random sample of 8 workers in this profession. a. What is the probability that exactly one work ...

What level of measurement is required for qualitative

What level of measurement is required for qualitative variables? What level of measurement is required for quantitative variables? Can both types be used to describe both samples and populations? Why or why not?

According to annbspairline flights on a certain route are

According to an? airline, flights on a certain route are on time 80% of the time. Suppose 13 flights are randomly selected and the number of?flights is recorded. ?a) Explain why this is a binomial experiment. ?b) Deter ...

A child care center wants to determine if there is a

A child care center wants to determine if there is a relationship between how long a child naps in minutes (20,21,22,23,24,etc.,etc) and incidents of aggression (1,2,3,4,etc.,etc). What type of statistical test should be ...

Describe the steps you tooknbspthere are 652 males 396 say

Describe the steps you took. There are 652 males, 396 say they have been to dentist in past year. Give a confidence interval for 90% of the population proportion .

If all the data values in a population are converted to

If all the data values in a population are converted to? z-scores, the distribution of? z-scores will have what? mean? Choose the correct answer below. A. The mean of the? z-scores will be zero. B. The mean of the? z-sco ...

In a sample of 12 kids their mean time on the internet on

In a sample of 12 kids, their mean time on the internet on the phone was 3.9 hours with a standard deviation of 0.7 hours. Which distribution would be most appropriate to use?

Average sales for an online textbook distributor were 7467

Average sales for an online textbook distributor were $74.67 per customer per purchase. Assume the sales are normally distributed. If the standard deviation of the amount spent on a textbooks is $9.49, find these probabi ...

A survey found that people keep their televisions an

A survey found that people keep their televisions an average of 5.8 years. The standard deviation is 0.76 year. If a person decides to buy a new TV, find the probability that he or she owned the old one for the given amo ...

On valentines day thenbspquiet nooknbsprestaurant offers

On Valentine's Day the Quiet Nook restaurant offers a Lucky Lovers Special that could save couples money on their romantic dinners. When the waiter brings the check he also brings a scratch-off ticket that the couple ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert