Given information
If the area to the right of 
in a normal distribution is 
, what is the area to the left of ?
Step-by-step explanation
The probability gives the likelihood of a specific event that it will occur.
The value of probability lies between 
and 
The probability of a random variable say 
is usually denoted by 
.
Therefore, the probability of the random variable assuming any specified value is denoted by 
.
The probability of the random variable assuming less than or left of any specified value is 
, and the probability of the random variable assuming more than or right of any specified value is 
.
One can use the complementary law of probability to express the probability which is right of any specified value as:
In the problem it is given that,
Since the total area under the normal curve is
Therefore,
Hence, the area to the left of is:
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Introductory Statistics
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