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According to Steinman et al. (in Maddux & Winstead), intrusive unwanted thoughts that are experienced as distressful and frightening are:

a. Delusions.

b. Obsessions.

c. Cognitive distortions.

d. . Tangential thoughts

Based on Zeman et al.'s perspectives (in Maddux & Winstead), it is safe to say that all individuals who experience maltreatment as children will develop some form of psychopathology

a TRUE

b. False

3. According to Maddux et al., which conception of psychopathology involves determining psychopathology by measuring abnormal behavior as "away from the norm"?

Harmful dysfunction

Social Deviance

Statistical deviance.

"Dyscontrol" or "dysregulation

4. the following statement best captures their views on the role of gender, race, and class in psychopathology:

a. The intersection helps to match the client with a therapist of similar background.

b.These factors are irrelevant to psychopathology.

c. Knowing the intersection of these variables helps us to better understand and intervene.

d.This intersection helps to match the client with a therapist of opposite background to produce a corrective experience

ii 2 U {20'} 3. For the. matrix A = 2 3 1 l 2 1 a.) Find all eigenvalues of the matrix. h.) Find all eigenvactors of the matrix. a.) is the matrix diagonaiizabla'.' If at}! state a matrix 1.\" and a diagonal matrix D for which 1312113 = D. Question 4: The time until failure of a certain type of fan used in a diesel engine follows an exponential distribution with mean 25,000 hours. a) Identify the value of 2. b) What is the probability that a randomly selected fan will last at least 10,000 hours? c) What is the probability that two randomly selected fans of this type will last at least 10,000 hours? d) What is the probability that a randomly selected fan will last between 20,000 and 30,000 hours? e) What is the probability that a randomly selected fan will last at least 50,000 hours given it has lasted 40.000 hours?4. Suppose that n light bulbs are burning simultaneously to determine the lengths of their lives. We shall assume that they burn independently and that the lifetime of each bulb has the exponential distribution with parameter . Let X2- denote the lifetime (in thousand hours) of bulb i, for 2' : 1, . . . ,n. The pdfJ mean and variance of exponential distribution Expw) are 1 1 1%) = fie'93, 1300 = -, Var(X) = 2- 3 X3 (a) What does the central limit theorem say about the distribution of W when n is large? (b) Find a two-sided 95% condence interval of the mean lifetime (1/3). Express your answer in terms of n, X and z (the 2 critical values). Interpret the condence interval you obtain in context of the situation. (c) Now, suppose that we want to test whether or not the mean lifetime is 1000 hours, we would consider H0:,8=1Ha:71. Derive the likelihood ratio statistic. (d) Denote the likelihood ratio statistic by A(X). Should the null hypothesis H0 be rejected when A(X) is large or small? (0) What is the large-sample distribution of 2 log AU?) when the null hypothesis H0 is true? (f) Explain what a Type I error would mean in context of this problem. Verify Property 2 of the definition of a probability density function over the given interval. 4 f(x) = 609 X [2,5] Substitute a, b, and f(x) into the left side of the formula from the previous step. 5 4 area = dx 609 2 Next, determine F(x). First, find the antiderivative of f. 3 609 dx = (Use C as the arbitrary constant.) Let C = 0 in the expression obtained above and let the resulting expression be F(x). Evaluate the result over [2,5] using the far right side of the formula for the area. area = area 1 Simplify