Introduction of Statistics

Task:
1.A manufacturing machine has a 2% defect rate.
If 3 items are chosen at random, what is the probability that at least one will have a defect?
2.A high School baseball player has a 0.287 batting average. In one game, he gets 9 at bats. What is the probability he will get at least 5 hits in the game?
3.A continuous random variable is normally distributed. The probability that a value in the distribution is greater than 21 is 0.6658. Find the probability that a value in the distribution is less than 21?
4.A continuous random variable is normally distributed. The probability that a value in the distribution is less than 171 is 0.0051. Find the probability that a value in the distribution is greater than 171?
5.The amount of soda in a randomly selected bottle varies according to a normal distribution with mean 17 ounces and standard deviation 5.9 ounces. What is the probability that a randomly selected bottle will be less than 17 ounces? Enter your answer as a decimal?
6.A random variable is normally distributed with mean 38.9 and standard deviation 7.6. What value is 2 standard deviations below the mean?
7.A random variable is normally distributed with mean 93.7 and standard deviation 12.8. What value is 3 standard deviations above the mean? 



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