We appreciate your visit to Assume that adults have IQ scores that are normally distributed with a mean of 100 2 and a standard deviation of 19 5 Find the. 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 a randomly selected adult has an IQ greater than 131.9, first find the z-score using the formula z = (X - μ) / σ, then use the standard normal distribution table to find the corresponding probability.
Explanation:
The student's question pertains to finding the probability that a randomly selected adult has an IQ score greater than 131.9, given that IQ scores are normally distributed with a mean (μ) of 100.2 and a standard deviation (σ) of 19.5. The calculation of this probability involves finding the z-score and then using the standard normal distribution table to find the corresponding probability.
To find the z-score, we use the formula: z = (X - μ) / σ, where X is the value in question (131.9 in this case). Plugging in the values, we get z = (131.9 - 100.2) / 19.5.
Once the z-score is calculated, consult the standard normal distribution table (or a calculator with the normal distribution function) to find the area to the right of this z-score, which represents the probability that a randomly selected adult has an IQ greater than 131.9. Since tables typically give the area to the left, you will need to subtract this value from 1 to obtain the probability we're looking for. Remember to round the result to four decimal places as needed.
Thanks for taking the time to read Assume that adults have IQ scores that are normally distributed with a mean of 100 2 and a standard deviation of 19 5 Find the. 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
