Q3: B- If the variable y has a Poisson distribution with the parameter = 2 find: P(y=4) 1 P(y ≥6) .Y P(y < 1) .
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- α = 0.01 for a right tailed test. Find the critical z value.Assume that ξ has a rectangular distribution with the mean value E(ξ) = 0 and the variance V(ξ) = 12. Calculate P (ξ> 5).(a) Let X1 ~ x² (n, 8) and X2 ~ x² (m, 1). mX1 and its parameters. nX2 (i) Find the distribution of X = (ii) If 1 = 0, name the distribution of X given in 3(a)(i).
- Let Y be a Poisson random variable with mean λ = 2. (a) Find P(Y ≥ 2). (b) Find P(Y ≥ 4|Y ≥ 2).Use the geometric distribution to derive E(Y), E(Y^2), and V(Y) from the Poisson distributionAssume that X is a random variable whose conditional distribution given the variable Y is poisson P (X | Y) = Po (Y). Suppose further that Y has a gamma distribution Y ∼ Gamma (1, 1). (a) Determine the value E (XY). (b) Determine the conditional distribution P (Y | X).
- Arm circumferences (cm) and heights (cm) are measured from randomly selected adult females. The 143 pairs of measurements yield x = 32.40 cm, y = 160.39 cm, r=0.072, P-value = 0.393, and y = 157 + 0.1075x. Find the best predicted value of y (height) given an adult female with an arm circumference of 34.0 cm. Let the predictor variable x be arm circumference and the response variable y be height. Use a 0.05 significance level. %3D The best predicted value is cm. (Round to two decimal places as needed.) Enter your answer in the answer box. MacBook Pro 888 esc %24 % & 4. 9- E T. Y. H. K %#3Suppose that X follows a poisson distribution with parameter λ=1.416 . P(X≥0)≅?let Y=5X+10 and X be normally distributed with a mean 10 and varience 25. find P(Y<54).
- Arm circumferences (cm) and heights (cm) are measured from randomly selected adult females. The 139 pairs of measurements yield x = 31.99 cm, y = 163.33 cm, r= 0.032, P-value = 0.708, and y = 158 + 0.1703x. Find the best predicted value of y (height) given an adult female with an arm circumference of 35.0 cm. Let the predictor variable x be arm circumference and the response variable y be height. Use a 0.05 significance level. %3D ..... The best predicted value is cm. (Round to two decimal places as needed.)(a) Consider a t distribution with 10 degrees of freedom. Compute P (tz -1.94). Round your answer to at least three decimal places. P(t2 - 1.94) = | (b) Consider a t distribution with 26 degrees of freedom. Find the value of c such that P (-cIn the daily production of a certain kind of rope, the number of defects per foot given by Y is assumed to have a Poisson distribution with mean λ = 3. The profit per foot when the rope is sold is given by X, where X = 60 - 4Y - y². Find the expected profit per foot. $ per footSEE MORE QUESTIONS