The modeling and solution of problems concerning motel reservation networks for motels were studied. Researchers defined a Type I call to be a call from a​ motel's computer terminal to the national reservation center. For a certain​ motel, the​ number, X, of Type 1 calls per hour has a Poisson distribution with parameter λ=1.4. A. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be at least five.

When computing the variance using a sample of size n = 30, we divide the sum of squared deviations by Give your answer as a whole number.

10) The university police department must write, on average, five tickets per day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of 9.3 tickets per day. Find the probability that exactly four tickets are written on a randomly selected day from this distribution.

2. The following table shows the income distribution for two groups of people in a country: those who declare to belong to a faith, and those who declare to be free thinkers. Income bracket Middle 13278 2225 Religious outlook Faith believer Free thinker Lower 7940 1241 Upper 4527 813 (a) A person is randomly selected from the group, find the probability that this person is a (i) free thinker. (ii) free thinker given that he/she has middle income. (iii) faith believer or he/she has lower income. (b) Are the events "Free thinker" and "Middle income" independent? Explain your answer. (Note: Round the probabilities to two significant figures)