Question: 1) A random value has a normal distribution with the mean 102.9 and the standard deviation o= 4.7. What are the probabilities that this random

1) A random value has a normal distribution with the mean 102.9 and the standard deviation o= 4.7. What are the probabilities that this random value will also take on a value

  1. less than 100.1;
  2. Greater than 95.6;
  3. Between 104.5 and 105.9;
  4. Between 98.7 and 105.0?

2) The lengths of the of the sardines received by cannery have a mean of 4.64 inches and a standard deviation of 0.25 inch. If the distribution of these lengths can be approximated closely with a normal distribution, what percentage of all these sardines are

  1. shorter than 4.00 inches;
  2. From 4.40 to 4.80 inches long?

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