We appreciate your visit to The time spent by students working on a project is a normal random variable with parameters tex mu 12 tex and tex sigma 4 tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
To calculate the probability that the time spent on a project is less than 14 hours, standardize the value using the formula z = (x - μ) / σ. The probability is approximately 0.6915. To calculate the probability that the time spent on a project is greater than 8 hours, standardize the value and find the probability of a value less than or equal to 8 hours, then subtract from 1. The probability is approximately 0.8413.
Explanation:
To calculate the probability that the amount of time spent on a project is less than 14 hours, we can use the standard normal distribution. We need to standardize the value of 14 hours using the formula z = (x - μ) / σ, where x is the value we're interested in, μ is the mean, and σ is the standard deviation.
Using the given parameters μ = 12 and σ = 4, we can calculate z = (14 - 12) / 4 = 0.5. To find the probability, we can look up the z-score in the standard normal distribution table or use a calculator. For a z-score of 0.5, the probability is approximately 0.6915.
To calculate the probability that the amount of time spent on a project is greater than 8 hours, we can use the same approach. Standardizing the value of 8 hours gives us z = (8 - 12) / 4 = -1. The probability of a value greater than 8 hours is equal to 1 minus the probability of a value less than or equal to 8 hours. Using the standard normal distribution table or a calculator, we can find that the probability is approximately 0.8413.
Thanks for taking the time to read The time spent by students working on a project is a normal random variable with parameters tex mu 12 tex and tex sigma 4 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
