Numerade

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2. Consider the pmf given by File Preview $$f(x) = p_X(x) = \begin{cases} 1/2, & x=1 \\ 1/4, & x=2 \\ 1/8, & x=3 \\ c, & x=4 \\ 0, & \text{otherwise} \end{cases}$$ (a) (2 points) Find the set of mass points (the points that have non-zero probability), S, for the random variable with this pmf. (b) (2 points) Determine the value of c that makes this pmf valid based on the definition of a discrete random variable. (c) (2 points) If the random variable X has this pmf, find $$P(X \ge 3)$$.

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You are assessing a 43-year-old female who is complaining of difficulty breathing you have just begun listening for lung sounds but also the left of her chest. You should listen to what area next. Heart sounds left lower chest right lower chest right upper chest

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A ________ is a small circular piece of DNA, that serves as a vector, and can be used to provide a "vehicle" in which to insert a gene of interest. O lysosome O ribosome O CRISPR O plasmid O vesicle

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Use the Intermediate Value Theorem to show that for all spheres with radii in the interval [6, 9], there is one with a volume of 2,000 cubic centimeters. Let V = 4 3 𝜋r3 be the volume of a sphere with radius r. V is continuous Correct: Your answer is correct. on [6, 9]. Rounded to one decimal place, V(6) = and V(9) = . Because V(6) ? 2,000 ? V(9), the Intermediate Value Theorem guarantees that there is ---Select--- r between 6 and 9 such that V(r) = 2,000.

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The given vectors are u = <-4,3> and v = <-1,-2>. Find the following: a. Find w = -2v+3u b. u*v c. The angle theta in degrees between u and v. Give your angle in degrees.

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Problem 1 Solve the ODE: y'' - 6y' + 8y = 0 Problem 2 Solve the initial value problem of: 2y'' + 5y' + 3y = 0, y(0) = 3, y'(0) = -4 Problem 3 A spring with a mass of 2 kg has natural length 0.5 m. A force of 25.6 N is required to maintain it stretched to a length of 0.7 m. If the spring is stretched to a length of 0.7 m and then released with initial velocity 0, find the position of the mass at any time $t$. Problem 4 Solve the ODE: y'' + 4y = $e^{3x}$. Problem 5 Solve y'' - 4y = $xe^x$ + cos 2x. Problem 6 y''' - 2y'' + 4y' - 8y = 0, y(0) = -1, y'(0) = 30, y''(0) = 28 Problem 7 D is order of derivatives. $(D^3 + 25D)y = 32 \cos^2 4x$, y(0) = 0, Dy(0) = 0, $D^2y(0)$ = 0

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The Fischer esterification requires a base catalyst ? True ? False Reset Selection

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A solid is located at 400 K and inside there is a cavity of a cubic decimeter of volume. How much energy does electromagnetic radiation have inside? What is its entropy and pressure?

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A rectangular prism is 12 cm long, 6 cm wide, and 5 cm high. What is the volume of the rectangular prism?

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The function h (t) = -4.9t^2 + 40t gives the height h of a ball (in meters) thrown upward from the ground after t seconds. Suppose the ball was instead thrown from the top of a 12-m building. Relate this new height function b (t) to h (t). In the fields below, include a multiplication sign between symbols. For example, a * x. Write a formula for b (t) in terms of h (t). b(t) = Write a formula for b (t) in terms of t only. b(t) =

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adam g.