3) Using the x distribution, find the following and draw the corresponding graph: (a)P(x2>Kn2)-0.05 when v-15....
3 (17') The random variable X obeys the distribution Binomial(n,p) with n=3, p=0.4. (a) Write Px(x), the PMF of X. Be sure to write the value of Px(x) for all x from - to too. (b) Sketch the graph of the PMF Px [2] (c) Find E[X], the expected value of X. (d) Find Var[X], the variance of X.
1) Binomial distribution, f(x) = px (1 – p) n-x , x = 0, 1, 2, …, n n = 10, p = 0.5, find Probabilities a) P(X ≥ 2) b) P(X ≤ 9) 2) f(x) = (2x + 1)/25, x = 0, 1, 2, 3, 4 a) P(X = 4) b) P(X ≥ 2) c) P(X ≥ -3) 3) Z has std normal distribution, find z a) P(-1.24 < Z < z) = 0.8 b) P(-z < Z <...
P: The following wind velocity data were recorded for the selected site:1, 2, 1, 2, 3, 3, 4, 3, 4, 5, 3, 4, 5, 6,7, 5, 4, 3, 2, 2. m/s Bin Nv Frequency Frequency F(v) 1-F(V) L (1. ..... F(v)) 0 0 0 2 0.1 0.1 0.9 0.7 0.45 0.25 0.1 0.2 0.15 0.05 0.05 0.95 0.05 5 2- Find the parameters k and c (shape parameter k and scale parameter c) b-Weibull distribution C-Draw the Weibull distribution d-Analyze...
Problem H5 Let X be a single observation (n-1) from the following distribution: f(rle)-o elsewhere NOTE:XBeta(0, 1) The following two hypotheses are being tested: 110 : e-2 vs Ha : ?-1. (a) Draw a graph of f(z | ?) when (i) Ho is true and when (ii) H. is true. Put both graphs on the same plot. Explain why a rejection region of the form (X<k) makes intuitive sense (b) Find k, so that the test has level a 0.05....
6. Let X have a N(1,2) distribution. Using only the tables, find: a) P(X 1.5) b) P(-1.1 X < 3.3) c) P(X-.9) d) A point c such that P(X > c) = 01 e) A point d such that P(X < d) 005
Let x1, x2,..,xn represent a random sample from a distribution with pdf f(x)=px(1-p)1-x for x=0,1 and 0<p<1. Find MLE for p. Choose an answer: n O b. 1/29=1*; O d. None are correct 59
3. Suppose that X has a Poisson distribution with mean μ=15. Use the 'cdf' command MTB > cdf; SUBC 〉 poisson 15. Find PX 〈 10)-[3] and P(15 X 20)= [3] 4. Suppose that Y has a hypergeometric distribution with parameters N = 20, M = 6, and n = 4, Use the command MTB > cdf 3; hypergeometric 20 6 4. a. [3] to find P(Y 53) = b. 3) Use the similar command to find P(Y > 2)...
QUESTION 28 Using the Binomial Probability table, find Px) when n - 7, X <3, and p 0.5 A, 0.273 O B. 0.500 O C. 0.227 ○ D. 0,773
a Graph the ftunction x-3x +5 Draw tha tangent ines to graph at the points whose X-coordinates arm-1.0. and 1 b Find Po) by delemining l- c Find t-1) rD) and t(1) These siopes should match thoca of the ines in part (b)y al Chouse the corect graph below OA. O B b) Px C)Find t-1) Selsct the coract choica below and if necassary Un the answar b to complete Vour choice. OA. P-1) Smpity your answer.) OB. There is...
Problem 1-5 1. If X has distribution function F, what is the distribution function of e*? 2. What is the density function of eX in terms of the densitv function of X? 3. For a nonnegative integer-valued random variable X show that 4. A heads or two consecutive tails occur. Find the expected number of flips. coin comes up heads with probability p. It is flipped until two consecutive 5. Suppose that PX- a p, P X b 1-p, a...