The correlation between Education and Income as measured on 110 people is r= 0.90 Explain whether or not each of the following possible conclusions is justified. a) When Education increases, Income increases as wellincreases as well. b) The form of the relationship between EducationEducation and IncomeIncome is straight. c) There are severalseveral outliers in the scatterplot of IncomeIncome vs. EducationEducation. d) WhetherWhether we measure EducationEducation in years or monthsyears or months, the correlation will still be 0.90still be 0.90.

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?