Question

Question: Assuming X is a normally distributed random variable with mean 150 and standard deviation 10 find P(X > 155). (Round your answer to 4 decimal places.)

Assuming X is a normally distributed random variable with mean 150 and standard deviation 10 find P(X > 155). (Round your answer to 4 decimal places.)

Answer 1

P(X > 155) can be found using the standard normal distribution and converting the value to a standard normal variable called Z.

Step-by-step explanation:

To find P(X > 155), we can use the standard normal distribution. We need to convert X into a standard normal variable called Z.

Z = (X - mean) / standard deviation

Substituting the given values: Z = (155 - 150) / 10 = 0.5

Then, we can use a Z-table or a calculator to find the probability that Z is greater than 0.5. From the Z-table, we find that the probability is approximately 0.3085. Rounding to 4 decimal places, P(X > 155) = 0.3085.