The probability that the average petal length will be between 1.3 and 1.6cm will be 0.5328.
From the complete question, x has an approximately normal distribution with a mean of 1.5cm and standard deviation of 0.2cm.
The associated probability for z values will be found in the normal distribution table and the probability will be subtracted. This will be:
= 0.6915 - 0.1587
= 0.5328
In conclusion, the probability that the average petal length will be between 1.3 and 1.6cm is 0.5328.
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