my dear student according to the HomeworkLib policy I have solved the first question thanks
1. Let X~b(x; n, p) (a) For n 6, p .2, find () Prx> 3), (ii) Pr(x23), (ii) Pr(x (b) For n = 15, p= .8, find (i) Pr(X-2), (ii) Pr(X-12), (iii) Pr(X-8). (c) For n 10, find p so that Pr(X 2 8)6778....
For each of the following functions, (i) find the constant c so that f(x) is a pdf of a random variable x, (ii) find the cdf F(x)-P(XSX), (iii) sketch graphs of the pdf f (x) and the distribution function F(x), and (iv) find μ and σ2. (a) f (x) x3/4, 0 <x<c (b) f (x)-(3/16x-,-c < x c
) 6. Let x be the binomial random variable with n = 10 and p = .9 (2) a. Find P(x = 8) (5) b. Create a cumulative probability table for the distribution. (2) c. Find P( x is less than or equal to 7) (2) d. Find P(x is greater than 7) e. Find the mean, μ. (1) f. Find the standard deviation, σ. (1) g. Find the variance. ...
Find Pr[2 5B(15,.1) <3] . That is, if X is a binomial random variable counting successes on n=15 Bernoulli trials with p=.1, find the probability that x is between 2 and 3, inclusive. O A.0.3954 O B. 0.1286 O c.1.7604 O d. 0.4383 O E.0.1714
QUESTION 8 Let x be a binomial random variable with n=5 and p=0.7. Find P(X <= 4). O 0.1681 0.5282 0.4718 0.8319 0.3601
Let X be a binomial random variable with n = 6, p = 0.4. Find the following values. (Round your answers to three decimal places.) (a) PCX = 4) (b) PIX S1 (c) PCX > 1) (d) 4 = 0 = o v npg Need Help? Read It 5. (-/6 Points) DETAILS MENDSTATC4 5.1.011 Let X be a binomial random variable with n = 10 and p = 0.3. Find the following values. (Round your answers to three decimal places.)...
2. i) Let B be a random variable with the Binomial (n, p) distribution, so that Write down the likelihood function L(p) for m independent observations xi,...,Inm 2 marks 6 marks ili) Compute the bias and the mean squared error of the corresponding maximum likeli- from B. Int ii) Show that the maximum likelihood estimate for pis-Σ.ri. mn [7 marks] hood estimator of p. iv) Let X be a continuous random variable with density function for x > 0, and...
A. Let X be a binomial random variable with n = 74 and p = .6. Use the normal approximation to the binomial to find: (i) P(X ≤ 50) (iii) P(40 ≤ X ≤ 50) (v) P(X = 43) (ii) P(X ≥ 40) (iv) P(42 ≤ X < 49) B. Each time a roulette wheel is spun, there are 38 possible outcomes, 18 red, 18 black, and two green. Suppose that you ALWAYS bet "black". (i) Suppose the roulette wheel...
2. Let X be a binomial random variable with n 18 and p 0.48. Find (а) Р(X — 17) (b) Р(14 < X < 22) (c) the largest integer m such that P(X > m) > 0.7. You could do this by trial-and-error or by automating the process with for loop
b) X-N(-8,12). Find: i P(X<-9.8) ii. P(X > -8.2) iii. P(-7< X <0.5)
Let x be the binomial random variable with n=10 and p = 9 a. Find P(x = 8) and create a cumulative probability table for the distribution. b. Find P( x is less than or equal to 7) and P(x is greater than 7) c. Find the mean, u, the standard deviation, o, and the variance. d. Does the Empirical rule work on this distribution for data that is within one, two or three standard deviations of the mean? Explain....