To calculate: The probability that a tomato grew in the special is a winner.
The probability that a tomato grows in special soil is a winner is 0.0228.
Given:
The mean and standard deviation of the diameter of crop tomatoes grown in a special soil which is
The diameter has to be more than 4 in. to win a prize at the county fair.
Concept used:
The number of standard deviations away from the mean is known as the Z score.
Z score is calculated using the formula
Calculation:
The Z score for 4 in. is calculated as shown below
Let X be the distribution of the diameter of the tomato with the given mean and standard deviation.
The probability that the diameter of the tomato is more than 4 in. is calculated as shown below
With reference to Z table
The probability that the tomato has a diameter more than 4 in. and be a winner is 0.0228.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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