A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 12 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 6 insects will die? Round your answer to four decimal places.

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A certain insecticide kills 80% of all insects in laboratory experiments. A sample of 14 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 2 insects will survive? Round your answer to four decimal places.

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.

66% of college biology students in the United States are female. If we take a random sample of 200 of these students, find the probability that the number of females is at least 135.Write your answer in decimal to four decimal places.

In 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.

A certain insecticide kills 60%60% of all insects in laboratory experiments. A sample of 99 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 55 insects will survive? Round your answer to four decimal places.

You decide to record the hair colors of people leaving a lecture at your school. What is the probability that the next person who leaves the lecture will have brown hair? Express your answer as a simplified fraction or a decimal rounded to four decimal places. Blonde 20 Red 46 Brown Black 20 46 Gray 25

A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 7 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 3 insects will die? Round your answer to four decimal places.