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In: Statistics and Probability

Questions 22-26: Weights of female cats of a certain breed are normally distributed with mean 4.1...

Questions 22-26: Weights of female cats of a certain breed are normally distributed with mean 4.1 kg and standard deviation 0.6 kg.

1.What proportion of female cats have weights between 3.7 and 4.4 kg? Round your answer to four decimal places.

2.A certain female cat has a weight that is 0.5 standard deviations above the mean. What is the probability that a randomly selected female cat will be heavier than this one? Round your answer to four decimal places.

3.How heavy is a female cat whose weight is on the 80th percentile? Round your answer to one decimal place.

4.A female cat is chosen at random. What is the probability that she weighs more than 4.5 kg? Round your answer to four decimal places.

5.Six female cats are chosen at random. What is the probability that exactly one of them weighs more than 4.5 kg? Round your answer to four decimal places.

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