Questions are on page 1-4, question 1-5. You will only need to use R-studio forQuestion 2-f and Question 5.All other questions are theoretical.

Assignment 2 [c.f. PSBE 4.32] Spill or spell? Spell-checking software catches \"nonword errors\" that result in a string of letters that is not a word, as when \"the\" is typed as \"teh\". When undergraduates are asked to write a 250-word essay (without spell-checking), the number X of nonword errors has the following distribution: 1. a) b) c) d) Value of X 0 1 2 3 4 Probability 0.1 0.2 0.3 ? 0.2 Is X a discrete random variable or a continuous random variable? Why? What probability should replace \"?\" in the distribution of X in the table above? Write the event \"at least one nonword error\" in terms of X. What is the probability of this event? Describe the event X 2 in words. What is its probability? What is the probability that X