3) Let X refers the time to failure of a machine component. Suppose the pdf of X is f(x) = 32/(x + 4)³ for x > 0. %3D a. Verify that if the f(x) is a legitimate pdf. b. Determine the cdf. c. Use the previous result (part b) and calculate the probability that time to failure is between 6 and 4 unit of time.

Q: Estimate f(1.08, 5.94) assuming that S(1,6) = 4, S«(1,6) = 0.5, S,(1,6) = –0.4 (Use decimal…

A:

Q: Plot 5 points of the function y 0.5 3 on the axes provided using the highlight tool, then connect…

A:

Q: Differentiate the function.

A: We will use the chain rule

Q: Below are data on the population of a species of moths that inhabit an island and breed annually…

A: Pn=1+rPn-1+μ n is the year after 2000 Year Moth 2000 6000 2001 7800 2002 9960

Q: Estimate how much the function f (x) = 1/1 + x2 will change if x decreases from 1 to .9.

A: Given: The function  f(x) = 11+x2 To find: How much the given function will change if x decreases…

Q: A drug response curve describes the level of medication in the bloodstream after a drug is…

A: We have to find the value to t in minute.

Q: Write a linear function for a line that passes through the point (-1,6) and is perpendicular to f(x)…

A: We need to find a linear function for a line that passes through the point-1,6 and is perpendicular…

Q: The accounting team at a manufacturing business developed a model for the company's profit over its…

A: The accounting team at a manufacturing business developed a model for the company's profit over its…

Q: Differentiate each of the following functions. i. y = 12x12 – 24 - ii. y = x5/6 – 28 - iii. y = 14…

A:

Q: Find for the function y = In 20 1+ e

A: The given function is y=lnet21+et2. Chain rule: ddtfgt=f'gtg't Quotient rule:…

Q: Explain how to find Critical t Values.

A: The t-critical value is the cut off of getting the null hypothesis held or rejected.  The null…

Q: The population of a town can be modelled by the function P(t)= 20 (4t+3)/(2t+5), where P is the…

A: Part(a): Given function is, pt:204t+32t+5 Substitute 0 for t into the given equation for finding the…

Q: Plot the following functions 1. y = -V2x +1 2. y = (x- 1)3 + 2

A:

Q: High tides occur approximately 12.5 hours apart. Suppose that a harbor is 50 feet deep at high tide…

A: Given, High tide=50 feet Low tide=30 feet t=0 is high tide occurs at 12.5 hours Period=24 (one…

Q: Write an equation for the function graphed below -7 -6 -5 -4 -3 -2 -1 y = 5+ 14- 13+ 2 1 T 2345 2 1…

A: We have to find the equation of the given graph

Q: A mathematics instructor at a large university has determined that a student's probability of…

A:

Q: An estimated equation for the change in the price of a house as a function of its distance from a…

A: Given that regression equation is Price^=-5 (0.5)DIST+2(0.2)DIST2N=100R2=0.3Cov^b2,b3=-0.1 The null…

Q: (a) find the value of A and a, correct to 3 decimal places, (b) predict the percentage of…

A: Topic:- exponential function

Q: Consider the following function.   Find values of a and b such that 1/7+x =a(1/1-bx) a= b=

A:

Q: Solve each problem by using composite functions. Be sure to show all work. 2. A rock is dropped…

A: A rock is dropped into a pond. The ripple travels outward at a speed of 20 cm/sec

Q: (b) g(x):= 1/x for x E R, x#0, (d) k(x):= 1//x for x > 0.

A:

Q: a. Fill in the table for the following functions. Enter the exact values. f(x) = 100(0.5)*. g(x) =…

A: We have, f(x)=100(0.5)x g(x)=100(0.9)x

Q: Differentiate the following function. f(x) = - 2 e 4x d (-2e **) =D - 2 e 4*) %3D dx

A:

Q: y = ln (xm=)

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

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.