Question

Do you know what all the symbols stand for? Re-write the statement below in words and fill in the blank at the end with the correct numeric value. Suppose X represents the normal random variable that is described in the statement

Annual salary in a large city is normally distributed with sigmaσ= $30,000 and muμ= $42,000. The P(X > $80,000) = ___________.

Re-write the statement replacing all symbols with words and fill in the blank with the correct numeric value according the information given in the statement.

Answer 1

Solution :

Given that,

mean == 42000

standard deviation = = 30000

P(x > 80000) = 1 - P(x<80000 )

= 1 - P[(x -) / < (80000- 42000) / 30000]

= 1 - P(z <1.27 )

Using z table

= 1 -  0.8980

probability= 0.1020

Annual salary in a large city is normally distributed with sigmaσ= $30,000 and muμ= $42,000. The P(X > $80,000) = 0.1020