math 115
posted by louise .
Let x be a continuous random variable that follows a normal distribution with a mean of 200 and a standard deviation 25.
Find the value of x so that the area under the normal curve between ì and x is approximately 0.4798 and the value of x is greater than ì.

z = (x  μ) / σ
2.05 (x200)/25
(25)(2.05) = x 200
51.25 = x  200
51.25 + 200 = x 200+ 200
x = 251.25
Respond to this Question
Similar Questions

statistics
If Z is a standard normal variable, find the probability that Z lies between 1.10 and 0.36 Use the table of the area under the normal distribution in the back of your statistics textbook to find the area between these Z values and … 
Statistics
Suppose that the probability distribution of a random variable x can be described by the formula P(x) = x/15 For each of the values x = 1, 2, 3, 4, and 5. For examples, then, p(x=2) = p(2) = 2/15 a Write out the probability distribution … 
Statistics
Suppose that the probability distribution of a random variable x can be described by the formula P(x) = x/15 For each of the values x = 1, 2, 3, 4, and 5. For examples, then, p(x=2) = p(2) = 2/15 a Write out the probability distribution … 
Statistics  Is it from Normal Distribution
I think I know how to answer the following question IF I assume that the distribution is normal  however, since the question doesn't say that it comes from a normal distribution  should I proceed differently? 
MATH
Which of the following normal distributions has the smallest spread? 
Math
Random variables X and Y are both normally distributed with mean 100 and standard deviation 4. It is known that random variable X+Y is also a normal distribution. a. What is the mean of X+Y? 
statistics
Suppose that a random variable, X, follows a Normal distribution. Specifically, X~N(10, 4). What is the value for the standard deviation 
statistics
Suppose that a random variable, X, follows a Normal distribution. Specifically, X~N(10, 4). What is the value for the standard deviation 
statistics
All deal with a random variable X that follows a normal probability distribution with mean equal to 37 and a standard deviation of 5. Compute P(X < 39) Compute P(X < 29 or X > 41) Compute P(X > 30) Find the 42nd percentile … 
statistics
All deal with a random variable X that follows a normal probability distribution with mean equal to 37 and a standard deviation of 5. Compute P(X < 39) Compute P(X < 29 or X > 41) Compute P(X > 30) Find the 42nd percentile …