A company prices its tornado insurance using the following assumptions: . In any calendar year, there can be at most one tornado. • In any calendar year, the probability of a tornado is 0.01. • The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year. 4 Using the company's assumptions, calculate the probability that there are fewer than 3 tornadoes in a 12-year period. Submit Question

The probability that a certain state will be hit by a major tornado (category F4 or F5) in any single year is 15. Complete parts (a) through (d) below. a. What is the probability that the state will be hit by a major tornado two years in a row? b. What is the probability that the state will be hit by a major tornado in three consecutive years? c. What is the probability that the state will not be hit by a major tornado in the next ten years? d. What is the probability that the state will be hit by a major tornado at least once in the next ten years?

The genotype of an organism can be either normal (wild type, W) or mutant (M). Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring.

An airline sell 200 tickets for a certain flight on an airplane that has only 198 seats because, on the average, 1% of purchasers of airline tickets do not appear for the departure of their flight. Determine the probability that everyone who appears for the departure of this flight will have seat.

A classroom contains 9 students. A student committee of 3 (president, vice-president, and treasurer) must be selected. Harry Potter will serve only as president and only if either of his friends Ron Weasley or Hermione Granger serve as vice president; otherwise he leaves the group. The others (including Ron and Hermione) have no such restrictions. What is the probability that Ron or Hermione become the president of this group? Report answer to 3 decimal places.

64% of all students at a college still need to take another math class. If 4 students are randomly selected, find the probability thata. Exactly 2 of them need to take another math class. b. At most 2 of them need to take another math class. c. At least 2 of them need to take another math class. d. Between 2 and 3 (including 2 and 3) of them need to take another math class.

An assembly line has two inspectors. The probability that the first inspector will miss a defective item is 0.09. If the defective item passes the first inspector, the probability that the second inspector will miss it is 0.08. What is the probability that a defective item will pass by both inspectors?   See attached photo