5. If X is normally distributed with a mean of 6 and a variance of 25, finda)P(1.2 ≤X < 12.4)b) P(X > -2)c) P(6 ≤X ≤ 14)d) P(-4 < X < 0)e) P(X > 35)f) P(|X-6 < 12.4)g) P(|X| < 7)h) Find c such that P(X ≥ c) = 0.1. And what is the percentile name of c?Find c such that P(|X - 6| < c) = 0.95i)j) Find E(e0.3x).

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Answered: 5. If X is normally distributed with a…

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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part d,e,f
8) Research published in the Journal of Quantitative Criminology (Mar. 2010) revealed that the risk of burglaries in homes located on cul-de-sacs is lower than from homes on major roads. What size sample would be required to estimate the population proportion of cul-de-sac homes in your home city that were burglarized in the past year within 2% at the 99% confidence level?
please slove only part B
7. Let (z,.,) be a random sample from a normal distribution with mean ja and a variance at. Alo let S.. = , - z)* be the sum of squares of the randou sample. State without proof the sampling distribution of the following; (a) t(z) - ạ + b i-, 1,. n, as e positive eal constants. (- ) (b) t(z) - (E) (x) = (e) ti2) - (g) (r) = (e) t(2) = (d) t(a) Er, - E > ( - P (h) 시)- - -1 (-) (e) t(z)
b) i. Let Y be the mean of sample of size n from a normal distribution with mean μ and variance 100. Find n so that Pu-5<Ỹ < µ+5)= 0.954
6) Suppose the m.g.f. of the r.v. X is given below: MCA) = (uM/ R0) +(45 |no) exp (t) A(20/1201eapreb a) Find the mean and variance of X b) Find P(X>1)
23. A variable is described at N(5,9). This indicates normal distribution, with Mean= 5 and Variance = 9. b) a) What are the corresponding Z values for X values of 2 & 5? What is the probability that X is less than 2? What is the probability that X is less than 5? c) C: What is the probability that X is between 2 and 5? e) What is the probability that Z < -1.24? d)
time, i.e. P(μx-ox ≤ x ≤ μx + 0x). 3. Suppose that people heights are normally distributed with mean of 170 cm and standard deviation of 6 cm. a) What proportion of people are between 165 cm and 175 cm tall? b) Find the minimum ceiling of an airplane such that at most 5% of people walking down the aisle will have to duck. E c) Find the probability that the average height of a random sample of 49 people is greater than 172 cm. 80 F3 4 R % 5 T F6 Y 1 & 7 K ard deviation of the expected U 8 DII
Pls solve it quickly..
3) Suppose test scores are measured by the Gaussian Normal Distribution N(X,75,10) calculate the following. a) Pr(80 < X < 90) b) Pr(50 < X < 70) c) The 95 th percentile
The random variable x has a normal distribution with mean 50 and variance 9. Find the value of x, call it x0, such that: a) P(x ≤ xo) = 0.8413 b) P(x > xo) = 0.025 c) P(x > xo) = 0.95 d) P(41 ≤ x ≤ xo) = 0.8630

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5. If X is normally distributed with a mean of 6 and a variance of 25, find a) P(1.2 < X < 12.4) b) P(X > -2) c) P(6 ≤X ≤ 14)