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1. A certain type of radio tubes lasts on the average of 2 years with the...

1. A certain type of radio tubes lasts on the average of 2 years with the standard deviation of 0.4 year. Assuming that the radio tubes are normally distributed. Find the probability that given tubes will last less than 1.5 years.

  1. Two hundred college freshmen have their grades in the normal distribution with the mean of 2.2 and standard deviation of 0.6. How many of these freshmen have their grades between 2.0 and 2.5 inclusive?
  2. Suppose that in an examination, the cut off scores for passing is 75 for 200 people. If the mean of the test is 84 with the standard deviation of 5 and scores are normally distributed. A) what proportion of people passed the test? B) How many have a scores between 80 and 86?

ps. answer all of them please :(

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