Can I have a step-by-step, detailed explanation for the part (c) of the following question?Thank you very much! For part a and b assume normal distribution.(a) Let µ = 0, o?= 4 and n = 36.(i) If P ({Ү| < а) — 0.5, find a.(ii) If P (E (2) <6= 0.9, find b.i=1(b) Let u = 0, o²If P (a1 < S² < a2) = 0.9, find a1 and a2.9 and n == 25.(c) If T follows t distribution with 9 degrees of freedom, find to such that,(i) P (|T| < to) = 0.95(ii) P (|T| > to) = 0.1

Answered: (c) If T follows t distribution with 9…

(c) If T follows t distribution with 9 degrees of freedom, find to such that, (i) P (|T| < to) = 0.95 (ii) P (|T| > to) = 0.1

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 29CR

See similar textbooks

Related questions

Q: Q4: x,,.., X ¸ are drawn from the distribution 303 -for 0<x<∞, and 0<0<∞ f(x,0) = (x+0) i) Find…

Q: The distribution of the random variable X is determined by the function: f(x) = ((x-1)2)/c ; for…

Q: Suppose X1, . . . , Xn are i.i.d. from a continuous distribution with p.d.f. fθ(x) = 1/θ if 0 ≤ x ≤…

A: Since the question has multiple sub parts we will solve the first part only. Please resend the…

Q: Suppose X1, . . . , Xn are i.i.d. from a continuous distribution with p.d.f. fθ(x) = 1/θ if 0 ≤ x ≤…

A: MME is defined as a method of moment estimators as a way to estimate the population parameters, such…

Q: 4) If X be a r.v. having t-distribution, then the value of e such that P(X>c)=0.05 is: a) 0.718. b)…

A: From the given information we find the t Value.

Q: 8. For constants o > 0 and a > 0, the function ασα p(x) = xa+1' where x > 0, is called a Pareto…

Q: If X has the discrete uniform distribution f(x) = 1k for x = 1, 2, ... , k, show that(a) its mean is…

A: From provided information, X has discrete uniform distribution f(x) =1 for k, and x= 1, 2, 3, …, k…

Q: Let X = U(3) find E(3x+7) and distribution function.

A: As per our guidelines we are suppose to answer first question .

Q: 4. Let X1,..., X,, n > 2, be a random sample from a distribution with pdf xe-x/0 f (x) = r < 0. (a)…

Q: Find B, of the distribution: df = - xe-* 0<x<c0, with u'1=1, Xe-x u'2 = 3, µ'3 =12.

A: Given: Distribution Function: fx=12xe-x, 0<x<∞ Raw moments, μ1'=1μ2'=3μ3'=12 Central…

Q: Let X, and X, be random samples taken from the exponential distributionf (x) = 4e¬4x, 0<x<∞. a) Find…

A: The PDF of the exponential distribution is given by, f(x) = 4e-4x , 0<x<∞ X ~ Exp(4) So, E(X)…

Q: Let the random variables X and Y have a joint normal distribution with E(X) ar(X) = Var(Y) = 1, and…

A: Given information: E(X)=0E(Y)=0Var(X)=1Var(Y)=1ρ=-0.6Covx,yV(x)*V(y)=-0.6 Covx,y=-0.6 a)…

Q: Q1: Let f(x) =2/x^3 ; 1<x<o, zero elsewhere Is p.d.f find 1- The cumulative distribution function…

A: Ans . f(x) = 2/x3 ; 1<x<infinite 1. CDF = P ( X<x ) = ∫1x2/x^3 dx = (…

Q: Let X1,X2,,X„ be a random sample from a distribution with pdf 1 f(x;0)= T2 fr-0)}12,-00<x<o,-0 <…

A: From the given information, fx,θ=12πe-x-θ22, -∞<x<∞, -∞<θ<∞ Given hypothesis:…

Q: (c) If x is a value of a r.v. X having an exponential distribution with mean 0, find the constant c…

A: Let X be a random variable having an exponential distribution So, 0<x < cx is a (1-α) 100%…

Q: B4. Let X1, X2, ..., X, be a random sample from a normal distribution with known mean 4, unknown…

A: Given that X1, X2, ..., Xn be a random sample from a normal distribution with known mean μ, unknown…

Q: X1,- Xm, E(X)= 0 and Var(X)= c²is a random sample chosen from the independent normal distribution.…

A: Given information: Given that the independent random variables X1, X2, … , Xn are normally…

Q: Ex. Let X be a Gamma distribution with parameter (a, A). 1 -re-d* (ar)ª- for 0<=x<∞. T(a) f(x) =…

Q: 2. A continuous random variable X has a chi-square distribution with degrees of freedom v if it has…

Q: (d) Given the following joint cumulative distribution function, obtain the marginal distribution…

A: Consider the given joint cumulative distribution function.…

Q: Find the variance and standard deviation of a continuous random variable with the given p.d.f. The…

Q: Let Y - X². (a) Find the pdf of Y when the distribution of X is normal N(0, 1). (b) Find the pdf of…

A: Part (a) Express the mathematical relation to calculate the probability density function in normal…

Q: b) We have continuous-type random variables X and Y having p.d.f given below: f(x, y) = 4xye-x²-y? ∞…

A: Note: " Since you have asked multiple question, we will solve the first question for you. If you…

Q: The Logistic (µ, B) distribution with mean u e R and scale parameter ßE (0, 00) has CDF F : R → [0,…

A: solution :

Q: 2. Two independent variables X and Y have a distribution function F(x)=x and F(y)=y respectively, if…

Q: 3.20 Let the random variable X have the pdf f(x) : 0 < x < o. e V2T (a) Find the mean and variance…

A: Given :Let the random variable X have the pdff(x)=22πe-x2/2, 0<x<∞

Q: For a given joint probability distribution f (x, y) where 0<a<4 and 0<y< 5, which of the following…

A: Solution: There is two different question I am solving second

Q: By the Central Limit Theorem, the sampling distribution of (x, - x2) is A. approximately normal for…

Q: 2. Given the following joint probability distribution y 1 2 3 0.05 0.5 4 ? 0.2 (a) Fill in the gap…

A: Given that The following joint probability distribution Y X 1 2 3 0.05 0.5 4 ? 0.2

Q: i) Find the marginal distribution of X₁. ii) Find E(X₁X₂).

Q: 4. For a Poisson distribution X~P(A) (A > 0), which one of the following values does equal to? A. 1…

A: The probability mass function of X is, The mean of X is

Q: Let X denote the mean of a random sample of size 25 from the distribution whose pdf is f(x) = x²…

A: We have given that the X-bar denote the mean of a random sample of size 25 from the distribution…

Q: 3- 3 f(r) = I = 0,1,2, 3.

A: We have given that Number of trials n=3 Success of probability p=1/4=0.25 q=1 - p= 1 - 0.25 q=0.75…

Q: Let X(1) 0. a) Show that X4) and X(6) – X() are independent for any s>r. b) Find the distribution of…

Q: A) | kx 0 1 B) Obtain the 25th percentile and the 75th percentile of the distribution.

Q: n x² = Σ i=1 (O₁ - E₁)² Ei Prove that the above statistic follows a chi-square distribution with al…

A: Solution-: We want to prove χ2=∑i=1k(Oi-Ei)2Ei with determination of degree of freedom

Q: F (x) = c du for x e R. For what value of c is F a distribution function?

A: It is an important part of statistics. It is widely used.

Q: (c) If x is a value of ar.v. X having an exponential distribution with mean 0, find the constant e…

A: *Answer: 306 answers X~Exponential with mean

Q: B/ Let the distribution function c.d.f of X is 0 0.8 Find the PMF of X. F(x) = 0.9 0.98 x < 0 0≤x≤1…

Q: Sf(z) = 1/4 te (0, 3) Suppose that X has mixed distribution Find and e, for J. p(z) = | te D= {6}. T…

A: Given that the random variable X has mixed distribution fx=14 ; t∈0,3px=14 ; t∈D=6

Q: A random variable X follows a Poisson distribution, X~Pois (2), with parameter 1. a) Prove that the…

Q: (b) Suppose that the random variables X and Y have the joint p. d. f. f(x, y) = {kx(x – y), 0 < x <…

Q: Let f(x) = ½ , -1 < x < 1 0 otherwise be a pdf of the…

Q: The reaction temperaturen x in a certain chemical process has a uniform distribution with a = 0 and…

Q: 2. A random variable X takes values between 0 and o with a cumulative distribution function F(x) = A…

A: Cumulative Distribution Function: Let X is a random variable (discreate or continuous). Then then…

Q: For the joint distribution function f(x,y)= 2/5(x+y2) for 0≤x≤1, 0≤y≤1 and 0 otherwise Find…

A: Given that x+y<1 This means y<1-x Given 0≤x≤1

Q: Q3/A/ Let X be a r.v with p.d.f f(x) = e-ll - co <x<0, then the value of variance of X is -

A: Given : X is a random variable with PDF fx=12e-x , -∞<x<∞ To find : Variance of X

Q: Q2. If x is a value of a r.v. X having an exponential distribution with mean 0, find the constant c…

A: The given interval is 0 to cx is a 1001-α% C.I. for the parameter θ. Calculate the value of c.

Q: 10. An automobile repair shop makes an initial estimate X (in thousands of dollars) of the amount of…

A: Since you have posted multiple questions, we have provided answer for first question only. Please…

Q: A random variable T(x) has a distribution function that 0 <t< 100 – x defined by Fr(2) (t) = {100-x'…

A: From the given information, FTxt=t100-x, 0≤t≤100-x1 t≥100-x Consider, the density…

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Can I have a step-by-step, detailed explanation for the part (c) of the following question?

Thank you very much!

For part a and b assume normal distribution.
(a) Let µ = 0, o?
= 4 and n = 36.
(i) If P ({Ү| < а) — 0.5, find a.
(ii) If P (E (2) <6
= 0.9, find b.
i=1
(b) Let u = 0, o²
If P (a1 < S² < a2) = 0.9, find a1 and a2.
9 and n =
= 25.
(c) If T follows t distribution with 9 degrees of freedom, find to such that,
(i) P (|T| < to) = 0.95
(ii) P (|T| > to) = 0.1

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
Explain the difference between the average rate of change of y as x changes a to b, and the instantaneous rate of change of y at x=a
Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.