Answer:
[tex]P (X = 140) = 0[/tex]
Step-by-step explanation:
We know that the heron wingspan follow a normal distribution with an mean of 125 cm.
In this case we seek to find
[tex]P (X = 140)[/tex]
If X is a random variable that represents the length of the heron wingspan, then X follows a normal distribution and therefore is a continuous random variable.
Then by definition of continuous random variable we have to:
[tex]P (X = a) = 0[/tex] where a is a constant.
That is to say that only the ranges of values can have a different probability of zero. The probability that a continuous random variable is equal to some exact value is always zero.
Finally we can conclude that
[tex]P (X = 140) = 0[/tex]
