Two workers A and B are both working for a certain store. Worker A comes to work 80% of the time Worker B comes to work 60% of the time. Suppose their absences are independent. The probability that at least one of them is at the store is P (AVB) = a. 0.92 Ob. 0.08 OC. 0.78 d. 0.8
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- At a certain large company, the floor manager reviewing inventory and production. She ultimately comes to the decision that a product should be continued if it sold 150,000 times over the previous year. In addition, the product is considered “popular” if it receives at least 100 mentions by the local press over the past year. An analyst is hired to help with the analysis. The analyst determines that the probability of sales exceeding 150,000 was 0.331, the probability of 100 or more mentions was 0.162, and the probability that a product both sold 150,000 items, and was also ‘popular’ is 0.064. What is the probability that a randomly selected product either sold the requisite 150,000 items, or that it is ‘popular’? Again, phrase your answers in terms of probability variables (e.g. P(X) = ..., P(Y)=... etc.) If we are told that an item has indeed reached the threshold of 100 mentions in the press, what is the probability of it selling 150,000 times? Thought Question: Where would the…A blood bank asserts that a person with type O blood and a negative Rh factor (Rh−) can donate blood to any person with any blood type. Their data show that 49% of people have type O blood and 17% of people have Rh− factor; 52% of people have type O or Rh− factor. A. Find the probability that a person has both type O blood and the Rh− factor. B. Find the probability that a person does NOT have both type O blood and the Rh− factor.Q. 2 A car dealer notes the following probabilities about his customers: P(those who buy a new car ) = 0.25 P(those who buy a European car) = 0.30 P(those who neither buy a new car nor an European car ) = 0.58 Find the probability that next customer buys a new European car?
- The probability of a snowstorm on Thanksgiving is 0.40 and the probability of a snowstorm on Christmas is 0.90. Assuming that these two events are independent, what is the probability of snowstorms on both Thanksgiving and Christmas?A jet fighter consists of two engines. The probability that the second engine functions in a satisfactory manner during its design life is 0.97, and the probability that at least one if the two engines does so is 0.975 and the probability that both engine do so is 0.93. Given that the first engine functions in a satisfactory manner throughout its design life, what is the probability that the second one also?The three-year recidivism rate of parolees in a certain state is about 20%; that is, 20% of parolees end up back in prison within three years. Assume that whether one parolee returns to prison is independent of whether any of the others return. Complete parts a and b below. Find the probability that exactly 6 out of 20 parolees will end up back in prison within three years. The probability that exactly 6 out of 20 parolees will end up back in prison is nothing.
- Edna is fouled hard in an exciting basketball game. It is ruled a flagrant foul, and the opponent is tossed from the game. As a result, Edna is allowed to shoot two free throws. She is a good shooter and on average makes 70% of her free throws. Assuming independence between the 2 free throws, what is the probability that Edna will miss both free throws?Two professors are applying for grants. Professor Jane has a probability of 0.66 of being funded. Professor Joe has probability 0.29 of being funded. Since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent.Give your answer to four decimal places. 1. Given at least one of the professors is funded, what is the probability that Professor Jane is funded, but Professor Joe is not?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') =
- Find the probability that a driver with at least one collision in the past year is a middle aged adult driver.On any given morning here at Chabot College, coffee is brewed in the Science and Math Division workroom by one of two faculty members, depending on who arrives first at work. Instructor Yest arrives first 75% of the time. Instructor Kelly arrives first the remaining mornings. The probability that the coffee is brewed strong when brewed by Instructor Yest is 0.2. The probability that the coffee is brewed strong when brewed by Instructor Kelly is 0.9, as Instructor Kelly likes her coffee strong! Given the coffee is strong on a randomly selected morning, what is the probability that is was brewed by Instructor Yest?A human gene carries a certain disease from the mother to the child with a probabilityrate of 42%. That is, there is a 42% chance that the child becomes infected with the disease.Suppose a female carrier of the gene has three children. Assume that the infections of thethree children are independent of one another. Find the probability that at least one of thechildren get the disease from their mother. Round to the nearest thousandth.
