Solution of problem N1125 Laplace probability theory
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1125. The probability of hitting a target with one shot is 0.4. 600 shots were fired. To find:
a) boundaries in which the probability of 0.9949 will be the number of hits on the target;
b) the number of shots to be fired on the target, so that with a probability of 0.9949 one could expect that the deviation of the hit frequency from one shot from its probability would be less than 0.05 (in absolute value).
a) boundaries in which the probability of 0.9949 will be the number of hits on the target;
b) the number of shots to be fired on the target, so that with a probability of 0.9949 one could expect that the deviation of the hit frequency from one shot from its probability would be less than 0.05 (in absolute value).
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)