Numerade

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We have two fair three-sided dice, indexed by $ i=1,2 $. Each die has sides labelled 1,2 , an two dice independently, one roll for each die. For $ i=1,2 $, let the random variable $ X_{i} $ repre of the $ i $ th die, so that $ X_{i} $ is uniformly distributed over the set $ \{1,2,3\} $. Define $ X=X_{2}- $ 1. Calculate the numerical values of following probabilities, as well as the expected value of $ X $ : \[ \begin{array}{l} \mathbf{P}(X=0)= \\ \text { 1/3 } \\ \mathbf{P}(X=1)= \\ \text { 2/9 } \\ \begin{array}{l} \mathbf{P}(X=-2)=1 / 9 \\ \mathbf{P}(X=3)=0 \end{array} \\ \mathbf{E}[X]= \\ 0 \\ \operatorname{Var}(X)= \\ \text { 4/3 } \end{array} \] 2. Let $ Y=X^{2} $. Calculate the following probabilities: \[ \begin{array}{l} \mathbf{P}(Y=0)=\quad 1 / 3 \\ \mathbf{P}(Y=1)=\quad 4 / 9 \\ \mathbf{P}(Y=2)=\quad 2 / 9 \\ \hline \end{array} \]

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Most infections by this Giardia are asymptomatic, however, if a large enough population in the small intestine is produced which of these can occur? Select all that apply. Group of answer choices anemia abdominal pain dehydration meningitis chronic diarrhea

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NK cells express inhibitory receptors that bind to MHC class I molecules.

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2 pts In the chapter overview discussion of gender-based violence as a worldwide problem and a violation of human rights, we learn that... Defining gender-based violence in terms of human rights has been a successful way for activists from the Global North and the Global South to get this issue onto the international agenda. The 1979 United Nations Convention on the Elimination of All Forms of Discrimination Against Women (CEDAW) includes gender-based violence and has been ratified by 189 countries, but women's organizations are still lobbying today for the United States to ratify it. Inadequate prenatal care due to poverty; battering during pregnancy; coerced pregnancy; and sex- selective abortion are all considered types of violence in the prebirth phase of the lifecycle. a and b All of the above

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true or false There are oriented regular surfaces on which it is possible to find points of any of the following types: elliptic, hyperbolic, parabolic and planar. true or false ? and why explain

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Personality disorders are often overlooked when it comes to diagnosis, yet are far more prevalent. Ten primary personality disorders are identified in the DSM-5-TR with two additional to account for atypical or unspecified trait presentations as well as personality changes due to medical conditions. Some more well-known personality disorders include antisocial personality disorder and borderline personality disorder. Some lesser known personality disorders include paranoid personality, schizoid personality, and schizotypal personality. Formerly Cluster A personality disorders, these three personality disorders share similar features to the psychotic disorders. How can one go about ruling out psychotic disorders and making a diagnosis of a personality instead? Is it possible for an individual to have a psychotic disorder and a personality disorder? If so, how can the clinician make it known that the client meets distinct criteria for both?

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According to the sticky-price model, deviations of output from the natural level are _____ deviations of the price level from the expected price level. Group of answer choices positively associated with negatively associated with not related to equal to

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For the thesis statement provided, identify the topic sentence that does not support the thesis. Thesis: Adult movie-viewers may be attracted to horror movies for a number of reasons, both conscious and sub-conscious. Topic Sentences: Horror movies have been around almost since the inception of cinema, and have been produced in force since the 1930s. Humans like to see basic human experiences heightened, such as the battle between good and evil. Horror films provide a safe way to experience sensationalism. Horror films provide a way for our subconsciuos to deal with real fears, although in a heightened manner. Humans often enjoy development insight into the "other," which horror films provide.

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(1 point) Suppose that we are to conduct the following hypothesis test: $H_0: \mu = 1040$ $H_1: \mu > 1040$ Suppose that you also know that $\sigma = 210$, $n = 85$, $\bar{x} = 1084.1$, and take $\alpha = 0.1$. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic: 1.9361 Note: For the next part, your answer should use interval notation. An answer of the form $(-\infty, a)$ is expressed $(-\infty, a)$, an answer of the form $(b, \infty)$ is expressed $(b, \infty)$, and an answer of the form $(-\infty, a) \cup (b, \infty)$ is expressed $(-\infty, a)\cup(b, \infty)$. B. The rejection region for the standardized test statistic: (1.2816, $\infty$) C. The p-value is 0.9735 D. Your decision for the hypothesis test: A. Reject $H_1$ B. Reject $H_0$ C. Do Not Reject $H_1$ D. Do Not Reject $H_0$

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Introduction Consider the negative unity feedback system shown in Figure 1. R(s) + ?C(s) D(s) Y(s) ? G(s) Figure 1. Closed-loop system. The system plant is described by $G(s) = \frac{2s^2 + 2s + 1}{s^4 + 3s^3 + 3s^2 + 2s + 0.5}$ Basic Design and Analysis Requirements • Find the transfer functions $G_{YR}(s)$ and $G_{YD}(s)$ with the control taken as $C(s)$. • Using root locus methods, design P, PI, and PID closed loop controllers that provide both the smallest percent overshoot and 2% settling time with the smallest steady-state given r(t) = u(t) (unit step), y(0) = 0, and d(t) = 0.

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denise g.