The joint probability mass function is given below: Y = 0 Y = 1 Y = 2 X = 0 X = 1 P(X|Y=2) = ? 1/6
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- Find the value of k which make the following function a pdf (15 y - 2 sys0 64' 64 fW) ={ 3 + ky 0 < y< 3 8 elsewhere What is the P(-1 < Y S 2)? Find the cumulative distribution function of Y. Find the variance of Y.Consider the following probability density function, what is the F(14) 0.22 x = 7 x = 9 x = 11 x = 13 x = 15 x = 17 0.22 0.05 0.05 f(x) = %3D 0.06 0.33 0.06 0.01 x= 19 x = 23DHL usually gives its customer a 60-minute window in which it expects home deliveries to be delivered. An independent consultant estimates that the final delivery time within the window is a delivery that follows the following condensation function:a. Draw the density function of the event. b. What is the expected value of the transaction? c. What is the variance of the event?
- A technician discovered that the cumulative distribution function (CDF) of the lifespan of bulb in years is given by f(y) = -10 ye 10 100 0R1The table below shows the probability mass function of the amount of memory X (GB) in different flash drives available in a certain store. 1 .25 y p(y) What is the V(Y) a. 0.25 Ob. C. 0 d. 0.74 .60 0.85 None of the answers 2 .10 3 .05Consider random variables X and Y with the joint PDF below find pxy(i) Attempt the following questions. Show all necessary steps. Read the questions carefully. (ii) Any copied material from internet or your class fellows will get you ZERO marks. Q. 1 Let X be the number of bugs in the first draft of a piece of software, and let Y be the number of bugs remaining in the second draft of the same software. Their joint probability mass function is given by the following table: Y 0. 1 3 0. 0.03 0.14 0.09 0.08 1 0.05 0.10 K 0.04 0.04 0.09 0.08 0.09 (i) Obtain K so that it is the joint probability mass function; (ii) Find cumulative distribution function Fyy (x, y); (iii) Find the following probabilities using cdf obtained above (a) P(X 4), (c) P(X + Y > 3), (e) P(X < 3,Y < 2) 21The probability mass function of the r.v.x is 1 -2 0.15 f(x) = P(X=x) 0.45 0.3 0.10 The standard deviation of x is O A. 1.608 O B. 2.006 OC. 1.469 O D. 1.4302..You are given fT(30)(t) = t/1250 0≤t<50 0 o.w. a) Find the probability that (30) dies between ages 40 and 45. b) Find the probability that (60) dies between ages 65 and 85. c) Define the cumulative distribution function of T (45). d) Define the force of mortality of T (50).Is d a (fe5x dx) = e5x dx True False Reset Selection ?The pdf of a random variable X is given by: f(x) = 0.2e-0.2x for x > 0 Please find P(x < 1). 0.4512 0.3297 0.8187 0.1813
