Question

Sugar canes have lengths, x, that are normally distributed with mean 365. 45 centimeters and standard deviation 4. 9 centimeters. What is the probability of the length of a randomly selected cane being between 360 and 370 centimeters? round your answer to four decimal places.

Answer 1

0.6904  is the probability of the length of a randomly selected cane being between 360 and 370 centimeters .

What is  is  probability ?

• Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events.
• The range of the value is 0 to 1. To forecast how likely events are to occur, probability has been introduced in mathematics.

Here we are given that

  x ~ n ( 365.45, 4.9 )

P ( 360 < x < 370 )

$P (\frac{360 - 365.45}{4.9} < \frac{x - 365.45}{4.9} < \frac{370 - 365.45}{4.9} )$

$P ( \frac{- 5.45}{4.9} < Z < \frac{4.55}{4.9} )$

$P( Z < \frac{4.55}{4.9}) - P ( Z < \frac{- 5,45}{4.9}$

= 0.6904

Learn more about Probability

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