From years of experience, an English instructor who teaches English majors has determined that for all 200- word in-class essays , 10% of essays have no misspelled words, 30% have 1 misspelled word , 20% have 2 misspelled words, and the rest have 3 or more misspelled words. For a 200 -word essay that is worth 100 marks, the English instructor uses the following marking scheme: if an essay has one misspelled word, she deducts 5 marks with 2 misspelled words , she deducts 10 marks; with 3 or more misspelled words , she deducts 15 marks . Of course, no marks are deducted if all words are spelled correctly. Let the random variable, X, be defined as the number of marks deducted on a randomly chosen 200 - word in -class essay . 1. the 4 possible value of the x 2.Probabilities of X corresponding to each of the possible values (write to 2 decimal places with a zero before the point, eg. 0.50, ,not.50) 3. calculate the expected value of x