Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 11. Use the empirical rule to determine the following. (a) What percentage of people has an IQ score between 67 and 133? (b) What percentage of people has an IQ score less than 78 or greater than 122? (c) What percentage of people has an IQ score greater than 122? (a)% (Type an integer or a decimal.)

Q: 3. Explain why the following limits do not exist. 1 (a) lim x-5 (x-5)2 -x² +3, (b) lim h(x), where…

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A: Here, we solve the first question.

Q: 1. In this activity, you want to find a statement S so that ((AVB)^¬A) → S is a tautology. (a)…

A: a) AB¬AA∨BA∨B∧¬ATTFTFTFFTFFTTTTFFTFF

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A: Since you have asked two questions, here is the solution of part (a).

Q: 68. Approximating Pi (a) Show that 4 dx = n. 1+ x2

A: Given to prove ∫0141+x2=π

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A: Given that  be independent Poisson random variables with the same parameter .

Q: Solve a and b

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A: a) The rate of pumping gasoline inside the tank is R(t)=1000e-t220 cubic feet per hour while the…

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A:

Q: 4. Suppose two events E and F satisfy P(E)= 0.3, P(F) = 0.5 and P(E' F) = 0.3. (a) Compute P(En F).…

A: The question is about is probability Given : P ( E ) = 0.3  P ( F ) = 0.5 P ( E' ∩  F' ) = 0.3   To…

Q: 3. Evaluate the following sums. (a) E (k-5k) (k* – k=-1 (b) E(i+2)3 Zi bi+ 1a %3D 3. i=1 3.

A:

Q: Ina study of government financial aid for college students, it becomes necessary to estimate the…

A: GivenMargin of error(E)=0.05Confidence level = 90%

Q: 8 a) Solve the recurrence relation an an-1 + an-2, n 22, ao = 1, a = 2 %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

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Q: Identity or Equatio 2 cos x = 1- sin x Equation tan“ x - 2 sec? x = 1 Equation

A:

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Q: For the function below, find (A) f'(x), (B) the partition numbers for f', (C) the critical numbers…

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Q: Suppose T and Z are random variables. a. If P(T> 2.52) = 0.02 and P(T 0.36)=P(Z 0.36).

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Q: Solve the following triangles: (a) a = = 10, b = 8, c = 7 (b) A = 90°, B = 20°, a = 7;

A: To solve the triangle, we use the Law of Cosines to find one angle of the triangle and the Law of…