Consider a binomial experiment with n= 13 and p = 0.3.a. Compute f(0) (to 4 decimals).f(0) = 0.0097b. Compute f(3) (to 4 decimals).f(3) =c. Compute P(x < 3) (to 4 decimals).P(x < 3) =|d. Compute P(2 > 2) (to 4 decimals).P(x > 2) =|e. Compute E(x) (to 1 decimal).E(x) =f. Compute Var(æ) and o.Var(a) =(to 2 decimals)(to 2 decimals)

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Answered: Consider a binomial experiment with n=…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(d) Experiment: measure the quantities a, b, c (in cm) of rainfall in a day at each of three weather stations A, B and C. Event: it is driest at station A. 2. Suppose we have 2=[0,9]={xR;0
If X~B(n=1000; P=.2) compute the following: SD(X) = 0x is : 8.21 9.45 12.65 16.46
If S = {a,b,c} with P(a) = P(b) and P(c) = 0.24, find P(a). (Enter answer as a decimal with at least 2 correct decimal places)
According to the U.S. Customs and Border Protection Agency, the average airport wait time (time from arrival at the airport until the completion of security screening) at Chicago's O'Hare Inter- national airport is 32 minutes for a passenger arriving during the hours 4-5 PM. Assume the wait time is exponentially distributed so that p(t) = ke-kt for 0≤t<∞, where k is the reciprocal of the average wait time. Assume t is measured in minutes. 1. Sketch a labeled plot of the relevant pdf on the interval [0, 90] minutes (while remembering that it is defined for all t≥ 0.) 2. Set up integrals (you can write p(t) for the integrand) for the following probabilities: (a) Waiting longer than 60 minutes. (b) Waiting shorter than 30 minutes. (c) Waiting between 20 and 40 minutes. 3. Evaluate the probability that the waiting time is longer than 60 minutes (part 2(a) above) and convert to a percentage with two decimal places.
(d) P(|Z|>0.7) = (Round to four decimal places as needed.) (e) P(- 1.1sZs1.2) = (Round to four decimal places as needed.)
Consider the following scenario: • Let P(C) = 0.3• Let P(D) = 0.8• Let P(C|D) = 0.3 A. P(C AND D) = [ Select ] ["0.30", "0.24", "0.26", "0.11"] B. Are C and D Mutually Exclusive? [ Select ] ["No, they are not Mutually Exclusive.", "Yes, they are Mutually Exclusive."] C. Are C and D independent events?[ Select ]["No, they are Dependent.", "Yes, they are Independent."] D. P(C OR D) = [ Select ] ["0.92", "0.86", "0.60", "1.1"] E. P(D|C) = [ Select ]["0.30", "0.95", "0.24", "0.80"]
(d) If X1,X2, ...,X, N(u, o²), and we use X as the point estimate u of the mean u, then (1) P{X = µ} = 1; (ii) P{X < A) = }: (iii) E(X) = µ; (iv) in approximately 95% of samples drawn, X will equal µ.
2. Find E(X) and Var(X) if a. P(X = 0) = 0.2, P(X = 1) = 0.3, and P(X = 2) = 0.5. b. X is the number of successes in 200 Bernoulli trials each with probability of success 0.7.

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