A normal random variable X has mean 5.6 and standard deviation 1.2. For which c> 0 does the equality P(-c≤x≤c) 0.9 hold? Round to two decimal places if needed.
Question
Solution 1
To solve this problem, we need to standardize the normal random variable X. We do this by subtracting the mean and dividing by the standard deviation. This gives us Z = (X - 5.6) / 1.2.
The probability P(-c ≤ X ≤ c) = 0.9 is equivalent to P(-c ≤ Z ≤ c) = 0.9 after standardization.
Since the total Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI
Similar Questions
A normal random variable X has mean 5.6 and standard deviation 1.2. For which c> 0 does the equality P(-c≤x≤c) 0.9 hold? Round to two decimal places if needed.
Calculate the standard deviation for each stock. (Do not round intermediate calculations. Round the final answers to 2 decimal places.)
Find the area between the curves y = x² and y=-2x²-2x. Round to 2 decimal places.
Calculate the standard deviation of the sample quantitative data shown, to two decimal places. x 5 10.6 2 24.7 22.3 18.9 Standard deviation:
STANDARD DEVIATION A data set contains the following values: 11, 3, 5, 18, 1, 4, 7. Find the population variance. Round your answer to 4 decimal places.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.