If E(X) = 3 and Var(X) = 2, which of the following is equal to E(2X + 4X²) A. 20 B. 30 C. 40 D. 50 If the intelligence quotients (IQ) of all human beings are assumed to be normally distributed with mean equal to 100, and standard deviation equal to 10, then which of the following is TRUE? A. The distribution of the IQ of all human beings is positively skewed. B. At least 50% of all human beings have IQ less than or equal to 100. C. The probability of selecting a human being with an IQ equal to 100 is 0.5. D. The probability that the IQ of a randomly selected human being is inside the interval (90, 110) is approximately equal to 0.95.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Section5.3: Modeling Data With Power Functions
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If E(X) = 3 and Var(X) = 2, which of the following is equal to E(2X + 4x²)
A. 20
B. 30
C. 40
D. 50
If the intelligence quotients (IQ) of all human beings are assumed to be normally
distributed with mean equal to 100, and standard deviation equal to 10, then which
of the following is TRUE?
A. The distribution of the IQ of all human beings is positively skewed.
B. At least 50% of all human beings have IQ less than or equal to 100.
C. The probability of selecting a human being with an IQ equal to 100 is 0.5.
D. The probability that the IQ of a randomly selected human being is inside the
interval (90, 110) is approximately equal to 0.95.
Transcribed Image Text:If E(X) = 3 and Var(X) = 2, which of the following is equal to E(2X + 4x²) A. 20 B. 30 C. 40 D. 50 If the intelligence quotients (IQ) of all human beings are assumed to be normally distributed with mean equal to 100, and standard deviation equal to 10, then which of the following is TRUE? A. The distribution of the IQ of all human beings is positively skewed. B. At least 50% of all human beings have IQ less than or equal to 100. C. The probability of selecting a human being with an IQ equal to 100 is 0.5. D. The probability that the IQ of a randomly selected human being is inside the interval (90, 110) is approximately equal to 0.95.
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