Intelligence Quotient (IQ) scores are assumed to be normally distributed in the population. The probability that a person selected at random from the general population will have an IQ between 100 and 120 is given by $\int _ { 0 } ^ { 2 } p ( x ) d x$ Use the graph of p (x) graphed below to answer the questions which follow:
(a) Use Simpson's Rule with n = 4 to approximate $\int _ { 0 } ^ { 2 } p ( x ) d x$
(b) The probability that a person selected from the general population will have an IQ score between 80 and 120 is given by $\int _ { - 2 } ^ { 2 } p ( x ) d x$ What is the approximate value of $\int _ { - 2 } ^ { 2 } p ( x ) d x ?$ (c) Since p (x) represents a probability distribution, the entire area of the region under the graph is exactly 1. Using this information, what is the approximate probability that a person selected at random from the general population will have an IQ score over 120?

Question

Intelligence Quotient (IQ) scores are assumed to be normally distributed in the population. The probability that a person selected at random from the general population will have an IQ between 100 and 120 is given by $\int _ { 0 } ^ { 2 } p ( x ) d x$ Use the graph of p (x) graphed below to answer the questions which follow:  
(a) Use Simpson's Rule with n = 4 to approximate $\int _ { 0 } ^ { 2 } p ( x ) d x$ 
(b) The probability that a person selected from the general population will have an IQ score between 80 and 120 is given by $\int _ { - 2 } ^ { 2 } p ( x ) d x$ What is the approximate value of $\int _ { - 2 } ^ { 2 } p ( x ) d x ?$ (c) Since p (x) represents a probability distribution, the entire area of the region under the graph is exactly 1. Using this information, what is the approximate probability that a person selected at random from the general population will have an IQ score over 120?

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The Answer of Intelligence Quotient (IQ) scores are assumed to be normally distributed in the population. The probability that a person selected at random from the general population will have an IQ between 100 and 120 is given by $\int _ { 0 } ^ { 2 } p ( x ) d x$ Use the graph of p (x) graphed below to answer the questions which follow:  
(a) Use Simpson's Rule with n = 4 to approximate $\int _ { 0 } ^ { 2 } p ( x ) d x$ 
(b) The probability that a person selected from the general population will have an IQ score between 80 and 120 is given by $\int _ { - 2 } ^ { 2 } p ( x ) d x$ What is the approximate value of $\int _ { - 2 } ^ { 2 } p ( x ) d x ?$ (c) Since p (x) represents a probability distribution, the entire area of the region under the graph is exactly 1. Using this information, what is the approximate probability that a person selected at random from the general population will have an IQ score over 120?

Intelligence Quotient (IQ) Scores Are Assumed to Be Normally Distributed ∫02p(x)dx\int _ { 0 } ^ { 2 } p ( x ) d x∫02​p(x)dx

Intelligence Quotient (IQ) Scores Are Assumed to Be Normally Distributed $\int _ { 0 } ^ { 2 } p ( x ) d x$