A manufacturer finds that 1.5% of its products is defective. What is the probability that one of the first 4 products inspected is defective? Round your answer to 7 decimal places.
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A: Introduction:If X ~ Bin (n, p), then the probability mass function of X is:p (x) = (nCx) px (1 – p)n…
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- A blood test for diabetes gives a positive result with a proportion of 0.44 when an individual has diabetes and a negative result with a proportion of 0.33 when they do not. Approximately a proportion of 0.14 of the population has diabetes. If a randomly chosen citizen tested negative, what is the probability that they actually have diabetes? Round your answer to five decimals.The probability that a certain make of car will need repairs in the first six months is 0.36 . A dealer sells 6 such cars. What is the probability that at least one of them will require repairs in the first six months?Write only a number as your answer. Round your answer to four decimal places (for example: 0.7319). Do not write as a percentage.If the probability that a professor correctly writes a slide is 0.80, what is the probability that at least 6 out of 8 slides are correct? Round your answer to two decimal places. Write your answer as a fraction not as a percentage (i.e. write as 0.38 not as 38%).
- If a seed is planted, it has a 95% chance of growing into a healthy plant.If 12 seeds are planted, what is the probability that exactly 3 don't grow? Round your answer to three decimal places.63% of the people in Missouri pass the driver’s test on the first attempt. A group of 5 people took the test. What is the probability that less than 3 in the group pass their driver's tests in their first attempt? Round your answer to three decimal places. Remember: 63% = 0.63In a large population, 53% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that at least one of them has been vaccinated? Round your answer to three decimal places.
- The probability of a hurricane hitting Houston is 1 in 18. The probability of any hurricane being category 3 or higher is 3 out of 10. What is the probability that a hurricane of category 3 or higher hits Houston? Round your answer to 4 decimal places.A blood test for diabetes gives a positive result with a proportion of 0.22 when an individual has diabetes and a negative result with a proportion of 0.11 when they do not. Approximately a proportion of 0.66 of the population has diabetes. If a randomly chosen citizen tested negative, what is the probability that they actually have diabetes? Round your answer to five decimals.In a recent survey, 62% of the community favored building a police substation in their neighborhood. If 14 citizens are chosen, find the probability that exactly 10 of them favor the building of the police substation. Round the answer to the nearest thousandth. O A. 0.620 OB. 0.009 OC. 0.714 O D. 0.175 C