Consider a binomial experiment with \( n = 14 \) and \( p = 0.5 \).a. Compute \( f(0) \) (to 4 decimals).\[ f(0) = \_\_\_\_ \]b. Compute \( f(3) \) (to 4 decimals).\[ f(3) = \_\_\_\_ \]c. Compute \( P(x \leq 2) \) (to 4 decimals).\[ P(x \leq 2) = \_\_\_\_ \]d. Compute \( P(x \geq 4) \) (to 4 decimals).\[ P(x \geq 4) = \_\_\_\_ \]e. Compute \( E(x) \) (to 1 decimal).\[ E(x) = \_\_\_\_ \]f. Compute \( \text{Var}(x) \) and \( \sigma \).\[ \text{Var}(x) = \_\_\_\_ \] (to 2 decimals)\[ \sigma = \_\_\_\_ \] (to 2 decimals)

Let X denote Binomial random variable. Given that X follows Binomial(n = 14, p = 0.5) Note :…

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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Suppose n =42 and p=0.34
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If X~B(n=1000; P=.2) compute the following: SD(X) = 0x is : 8.21 9.45 12.65 16.46
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A research center claims that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At a = 0.10, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H, and H Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. At least % of adults in the country would travel into space on a commercial flight if they could afford it. O B. % of adults in the country would travel into space on a commercial flight if they could afford it. %. O C. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not O D. No more than % of adults in the country would…
OSuppose that for a certain experiment P(A) = .47 and P(B) = .25 and P(An B) = .14. Find P(Au B).
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7. Suppose X is the number of Bernoulli trials needed to get one success. Suppose each trial is a success with probability 1/3. a. Find P(X = 4). %3D b. Find E(X) and Var(X).
(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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Consider a binomial experiment with n =14 and p 0.5. %3D a. Compute f(0) (to 4 decimals). f(0) = %3D b. Compute f(3) (to 4 decimals). f(3) = %3D c. Compute P(æ< 2) (to 4 decimals).