Given a random variable with probability distribution fundion defined asbelow:Bx,3

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Answered: Given a random variable with…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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#4 Find the probability
Areas under normal distribution curves can be used calculate probabilities of many random variables in the natural and social sciences. The graph of the Standard Normal Curve, with a mean of 0 and a standard deviation of 1 is given below, and its function is given by 1 f(x) = √2T e 1 The integral of e dx would be used to calculate the probability of an event that occurs √2T -1.5 between -1.5 to 1.5 standard deviations from the mean. (-1.5, 0.13) 1 Unfortunately, √2π -1.5 methods to approximate the values. 1.5 -1.5 1.5 (-1, 0.24) Using Simpson's Rule, (-0.5, 0.35) e dx has no proper closed form antiderivative, so we must use numerical 1.5 -1.5 1-0.5 -0-2 Using the Midpoint Rule with three rectangles of equal width, dx 0 Using the Trapezoidal Rule with six trapezoids of equal width, (0, 0.4) 0.5 Round answers to 4 decimal places when appropriate. (0.5, 0.35) (1, 0.24) 1.5 Ibe 1.5 1.5 [ 13 e-t de = \ е 1.5 e-2 е dx (1.5, 0.13)
you should calculate the required probabilities using tables A model for normal human body temperature, X, when measured orally in F, is that it is normally distributed, X N(98.2, 0.5184). According to the model, what proportion of people have a normal body temperature of 99 F or more? (0) (i) Find the normal body temperature such that, according to the model, only 10% of people have a lower normal body temperature. (ii) Let W denote normal human body temperature, when measured orally in C. Given that W =59 (X-32) and X N(98.2, 0.5184), what is the distribution of W?
The random variable X has an exponential distribution: X ~ Exponential(0.2). Find the following: (a) P(2 < X < 10) (b) P(X > 6) (c) Find the 70th percentile for X
The random variable X is described by using the gamma distribution with α = 5 and λ = 1. Find the standard deviation of X.
The mean µ=np and the standard deviation σ = np(1−p) is for
f(x) = (2x + 1)/c, 0 ≤ x ≤ 4. Find the variance of the distribution. 438/c² 409.2/c² O 431.6/c² O 419.6/c²
I need help with this question, A and C are wrong and I don't know D
The random variable X has a distribution function:F(x) = 0 ; x < 3 = 1/c(x2 - 3x) ; 3 <= x <=6 = 1 ; x > 6 Count the value of constant "c" Count the P(X > 4) and P(5 <= X <= 6) Count the median of X Thanks for help!
The geometric distribution gives the probability that the first success occurs at the xth trial with success probability p. f(x)=(1-p)x-1p, x=1,2,3,... Show that E(X)=1/p
The probability mass function of a discrete random variable Y is given by k y = 2, 3,4, 5 p(y) = { 6- y 0, PV) : elsewhere
In Exercises 13-16, let X be a normal random variable with 10 and o = = 2. Find the value of the given probability. 14. P(X > 8) 16. P(6.5 < X < 11.5)

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Given a random variable with probability distribution fundtion defined as below: f(x) = 0, otherwise (a) Find the value of 8. (b) Sketch the graph of the probability distribution function of х. (c) Find the probability that x is more than and equal to 4. (d) Calculate the mean and variance of x.