We appreciate your visit to An elevator has a placard stating that the maximum capacity is 3900 lb for 26 passengers This means 26 adult male passengers can have a. 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:
The probability that 1 randomly selected adult male weighs more than 150 lb, with the given normal distribution (mean of 186 lb, standard deviation of 40 lb), is approximately 81.59%.
Explanation:
The student asks to find the probability that 1 randomly selected adult male has a weight greater than 150 lb, given that weights of males are normally distributed with a mean of 186 lb and a standard deviation of 40 lb. To calculate this, we can use the Z-score formula:
Z = (X - μ) / σ
where X is the value of interest (150 lb), μ is the mean (186 lb), and σ is the standard deviation (40 lb).
Substituting the values into the formula, we get:
Z = (150 - 186) / 40 = -0.9
We then look up this Z-score in a standard normal distribution table, or use a calculator with a normal distribution function, to find the probability that a value is above this Z-score. The probability associated with Z = -0.9 is approximately 0.8159.
Therefore, the probability that a randomly selected male weighs more than 150 pounds is about 81.59%.
Thanks for taking the time to read An elevator has a placard stating that the maximum capacity is 3900 lb for 26 passengers This means 26 adult male passengers can have a. 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
