Megan is checking her tax bill for the last year. the tax rates were as follows: no tax on the £11000 of earning earnings in excess of £11000 and up to £43000 tasted at a rate of 20% earnings in excess of £43000 and up to 150000 taxed at a rate of 40% earnings over £150000 taxed at 45% last year meghan earned £158900 before tax how much tax did she pay in total?

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?