Let be a continuous random variable that follows a normal distribution with a mean of and a standard deviation of . Find the value of so that the area under the normal curve to the right of is . Round your answer to two decimal places.

Complete Question

Let x be a continuous random variable that follows a normal distribution with a mean of 550 and a standard deviation of 75.

a

Find the value of x so that the area under the normal curve to the left of x is .0250.

b

Find the value of x so that the area under the normal curve to the right ot x is .9345.

a

b

Step-by-step explanation:

From the question we are told that

   The  mean is  

   The standard deviation is  

Generally the value of x so that the area under the normal curve to the left of x is 0.0250 is mathematically represented as

Generally the critical value of  0.0250 to the left  is  

=>    

=>          

=>    

Generally  the value of x so that the area under the normal curve to the right of x is 0.9345 is mathematically represented as

Generally the critical value of  0.9345 to the right  is  

=>    

=>          

=>    

9987

step-by-step explanation:

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: