Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
The probability that a randomly selected adult has an IQ less than 130 is 0.9332
For given question,
We have been given adults IQ scores that are normally distributed with a mean of μ = 100 and a standard deviation σ = 15.
We need to find the probability that a randomly selected adult has an IQ less than 130
Sketch the curve.
The probability that X < 130 is equal to the area under the curve which is less than X = 130
Since μ = 100 and σ = 15 we have:
⇒ P ( X < 130 ) = P ( X- μ < 130 - 100 )
⇒ P ( X < 130 ) = P((X− μ)/ σ < 130 - 100/20 )
Since (X-μ)/σ = Z and (130 - 100)/20 = 1.5 we have:
P (X < 130) = P (Z < 1.5)
Now, we use the standard normal table to conclude that:
P (Z < 1.5) = 0.9332
Therefore, the probability that a randomly selected adult has an IQ less than 130 is 0.9332
Learn more about the probability here:
https://brainly.com/question/23548526
#SPJ4
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.