P(B'/A) = 1 − P(B/A)
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- Classify the following statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning. According to company records, the probability that a washing machine will need repairs during a four-year period is 0.24 This is an example of ✓ probability, since DELL LIE W NextWhich of the following events is not a classical probability? a. The probability of repairing a washing machine during a six-year period is 0.10. b. The probability of rolling a die and getting 6 is 1/6. c. The probability of choosing six numbers from 1 to 40 that match the six numbers drawn by a state lottery is 1/3,838,380. d. The probability of pulling a spade king from a deck of cards is 1/52.A car is parked among N cars in a raw, not at either end. On his return the owner finds that exactly r of the N places are still occupied. What is the probability that both neighbouring places are empty?
- Use the "at least once" rule to find the probability of the following event. Getting rain at least once in 8days if the probability of rain on each single day is 0.4 The probability is___? (Round to three decimal places as needed.)Please Answer thisAssume that the airline still sells 340 tickets for the 280-seat flight, but that all tickets are sold in groups of 4 and that each group of four only shows up with probability 0.854, since the entire group will only travel if all four in the group can travel. Compute the exact probability that there will be enough seats for everyone who shows up, noting that each party only shows up in full or not at all. Express your probability to three decimal places.
- A company prices it's 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 0.15 The number of tornadoes in any calendar year is independent of the number of tornadoes in any other calendar year using the companies assumptions calculate the possibilities that there are fewer than 2 tornadoes in a 20 year.In a certain insurance has 20 holders. The ages of these policy holders are as follows: One is 16 years old, four are 18, nine are 19, three are 20, two are 21, and one is 30. Let X= age of any policy holder (randomly selected). Find the probability mass function of age.5c 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. Calculate the probability of a string of the following genotypes in successive generations: WWW.
- A surprising result that appears in many Elementary discussions on probability is called the birthday problem. The question simply stated is that if we poll a certain number of people, what is the probability that at least two of those people were born on the same day of the year? To solve this problem, use the formula for computing the probability of a complement of a event. It is clear that P(duplication of some birthdays)=1-P(n I duplications). Assume that there are 4 people. Find the probability that at least 2 of the 4 people were born on the same day of the year. Do not consider February 29th in leap year when finding the probability.The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. Business graduates Business None degree degree male 181823 612083 female 166501 867055 • Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is I (Round to three decimal places as needed.) • Find the probability that a randomly selected student received a business degree, given that the student is female. The probability that a randomly selected student received a business degree, given that the student is female, is (Round to three decimal places as needed.)K In a certain state, it has been shown that only 54% of the high school graduates who are capable of college work actually enroll in college. Find the probability that, among 10 capable high school graduates in this state, 5 to 7 inclusive will enroll in college. The probability that, among 10 capable high school graduates in this state, from 5 through 7 will enroll in college is (Round to three decimal places as needed.) ☐