Problem 7 [15 points = 3 + 4 + 4 + 4] Assume that a textbook contains n = 400 pages and the chance that there is at least one typo on a randomly selected page is p = 0.015. Variable T denotes the total count of typos found in the textbook. Use cumulative probabilities for Poisson distribution (Table 2) to answer questions below. 1. Find probability that the textbook contains at least five typos P, [T 5] 2. Determine the chance that T is higher than three and below seven P [3 < T < 7] 3. Derive probability that the book contains at most eight and at least four typos P [4 T 8] 4. Evaluate probability of finding six to seven typos P [(T = 6) | (T = 7)] Solution