In a study to reveal the relation between IQ and depression, it was established that 25% of the adult population suffers from depration and those who are depressed have an average IQ of 105 which is normally distributed with a standard deviation of 15 points. (a) If a random sample of 60 persons from the poulation is picked, what is the probability that at least 24 of them suffer from depression? (b) If a random sample of 10 persons is picked, what is the probability that at most, only 1 of them suffers from depression? (c) If a random sample of 100 depressed individuals is picked, what is the probability that their average IQ is more than 110? (d) If a random sample of 10 depressed individuals is picked, what is the probability that their average IQ is more than 110? (e) If we pick a random individual from the population, what is the probability that this individual will be a patient of depression with an IQ higher than 115?
In a study to reveal the relation between IQ and depression, it was established that 25% of the adult population suffers from depration and those who are depressed have an average IQ of 105 which is normally distributed with a standard deviation of 15 points. (a) If a random sample of 60 persons from the poulation is picked, what is the probability that at least 24 of them suffer from depression? (b) If a random sample of 10 persons is picked, what is the probability that at most, only 1 of them suffers from depression? (c) If a random sample of 100 depressed individuals is picked, what is the probability that their average IQ is more than 110? (d) If a random sample of 10 depressed individuals is picked, what is the probability that their average IQ is more than 110? (e) If we pick a random individual from the population, what is the probability that this individual will be a patient of depression with an IQ higher than 115?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
Related questions
Question
please provide answers to parts (c) and (e)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,