Adult cereal is normally distributed with a mean of 920 grams and a standard deviation of 10 grams What is the probability that it will weigh less than 895 grams?

Adult cereal is normally distributed with a mean of 920 grams and a standard deviation of 10 grams What is the probability that it will weigh less than 895 grams?

Since adult cereal is normally distributed with known mean and known standard deviation, the best way to find this probability is to find the z-score corresponding to adult cereal weighing 895 grams and Escorts Service then using a normal probability table to find an approximate probability (usually accurate to 4 decimal places).

The z-score is (895-920)/10=-2.5. So, the probability that adult cereal will weigh less than 895 grams is 0.0062.

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