If data with a normal distribution has a mean of

flightwingsd2

flightwingsd2

Answered question

2022-06-07

If data with a normal distribution has a mean of 100 and a standard deviation of 15, what is the probability that a given value is greater than 110?

Answer & Explanation

Layla Love

Layla Love

Beginner2022-06-08Added 29 answers

So here X N ( 100 , 15 2 )
Note that our required probability is
P [ X > 110 ] = 1 P [ X 110 ]
= 1 P [ X 100 15 110 100 15 ]
= 1 Φ ( 2 3 )
Note that Φ ( x ) is the cumulative density function of standard normal distribution.

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