Given that the switch board of a consultant's office receives on the average 0.6 call per minute, find the probability that (a) In a given minute there will be at least one call. (b) In a 4-minute interval, there will be at least 3 calls.
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- Let the probability of rainfall occurrence on any day in the month of December be 0.3. If you are wishing a no-rainfall 7-day period as you are planning for a 7-day study tour. Find the probability that the rainfall will not occur in these 7 days. Find the probability of 1 rainy day during these 7 days.Professor John is designing a water flask and he needs to know the probability that the filtration system will fail during a water cleaning. Based on previous data, Professor John estimates that the probability of a filtration system failure during the filtration cleaning is 0.05. If the water flask is used for 365 days in a year, what is the probability that the filtration system will not fail during any cleaning in a year?The probability of a person selling by phone to sell for each call is independent of each other and is 0.2. So, what is the probability that he did not sell in exactly 5 calls before making the second sale?
- In a certain year, the probability that a stock was in the Information Technology sector was 0.1353. The probability that the stock had a dividend yield of 2.00% or higher given that it was in the Information Technology sector was 0.2988. The probability that a stock had a dividend yield of 2.00% or higher given that it was not in the Information Technology sector was 0.4469. Find the probability that the stock was in the Information Technology sector given that it had a dividend yield of 2.00% or higher. Let F be the event that a stock was in the Information Technology sector and E be the event that a stock had a dividend yield of 2.00% or higher. P(F)= and P P (F') =A company offers guided tours of remote areas of the world. Each tour consists of 20 people. The probability of selling a ticket for any given spot on the tour is 0.86. The costs to the company are approximately the same regardless of the number of people that show up. To offset the risk associated with a tour not filling up, the company purchases a specialized insurance policy. The policy pays 100 for each ticket that is left unsold, up to a maximum of 400. Let P be the amount that the insurance policy pays to the company for a specific tour. Calculate E[P] to the nearest dollar. O 251 O244 O 259 O 267 275Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.
- The probability that a new computer functions for over 10,000 hours is 0.8, the probability that it functions for over 20,000 hours is 0.4 and the probability that it functions for over 30,000 hours is 0.1. If a new computer is still working after 10,000 hours, what is the probability that i. its total life will exceed 20,000 hours;ii. its additional life will exceed 20,000 hours?Cassandra buys a bag of cookies that contains 4 chocolate chip cookies, 8 peanut butter cookies, 6 sugar cookies and 8 oatmeal cookies. What is the probability that Cassandra reaches in the bag and randomly selects a sugar cookie from the bag, eats it, then reaches back in the bag and randomly selects an oatmeal cookie? Give your answer as a fraction, or accurate to at least 4 decimal places.The probability that Mr. Johnson goes for an evening walk on any given day during the winter is 0.56. Out of 89 days of winter, the number of days that Mr. Johnson is expected not to take an evening walk to the nearest day, is