The likelihood of a certain brand of tires wearing out is represented by the following function. Sa - ze-kz , if z 20 S(x) = , otherwise where r is in thousands of miles. Note that f is not an exponential function. 1. Choose a, in terms of k, so that f is a probability density function. 2

Q: Consider the following exponential probability density function. 1-x/5 f(x) for x 20 (a) Write the…

A: (a) The exponential parameter value is as follows: λ = 1/5 (b) The P(X ≤ 3) is calculated as…

Q: Consider the following exponential probability density function. f(x) =  1 3e−x/3     for x ≥ 0

A: Solution: The exponential probability density function is f(x)=13e-x3         For x ≥0       0…

Q: Find the cumulative density function for the given probability density function. k(x) = 1.9 e -1.9X,…

A: Given: k(x)=1.9e-1.9x, for 0≤x≤∞ Cumulative density function will be Kx=∫0xk(t)dt

Q: The distance x, in feet, between successive cars on a certain stretch of highway has the following…

A: We have to find the probability [ P(0 <= x < inf) ]

Q: Find the cumulative density function for the given probability density functio k(x) = 1.4 e 1.4x,…

A:

Q: Q3 a) f the probability density function (cVx,0< x < 1 f(X)= 0, else where Find the value of c?

A: Given, the probability density function of X- fx=cx, 0&lt;x&lt;10 , elsewhere It is known from the…

Q: Suppose that the amount of time that a math student spends on the Taco Bell during class break has…

A: Solution: From the given information, the probability density function of t is

Q: Given the probability density function as below: Shx2 (-1sxs 1) = {* f(x) otherwise Calculate h.

A:

Q: The temperature X at which a thermostatically controlled switch turns on has probability density…

A:

Q: Given is the following probability density function f(x) = e*; x > 0 The expected value of y=e3/4x…

A: Probability Density Function: A continuous function f(x) is said to be the probability density…

Q: 4 Consider the following two functions, each having an unknown parameter c. S(r²+4x +7) -5 <x< 5…

A: It is been asked to verify whether the given two functions are probability density functions and…

Q: The exponential probability density function is f(y, 2)= he- for y, 120 Show that the exponential…

A:

Q: Consider the following exponential probability density function: f(x) = for æ > 0 a. Write the…

A: a) The required formula is calculated as follows: Px≤x0=∫0x013e-x3dx=13e-x3-130x0=-e-x30x0=1-e-x03

Q: From this density, the probability that X is at least 0.42 js

A: We know that the graph of probability density of Uniform random variable is flat straight line.

Q: A lamp has a lightbulb with an average lifetime of 4 hours. The probability density function for the…

A: Probability density function is

Q: Consider the following exponential probability density function. f(x) =  1 4 e−x/4     for…

A:

Q: The probability density function of the random variable X is given by: Sce-2x 0 f(x)= = for x > 0…

A:

Q: Given the probability density function as below (hx² f(x) =} (-15xs 1) otherwise

A:

Q: Substitute the vaiue u = 25 into the equation for a. a %3D .04 So, substituting this value into the…

A: Given that, μ=25. The the value of a is, a=125a=0.04 Now, substituting the value into the…

Q: The probability density function of X, the lifetime of a certain type of electronic device (measured…

A: Solution

Q: Consider the following function ke-0.1477(x+8.9)² ,-∞ –10), work with four decimal places or more c)…

A: Given Information: fx=ke-0.1477x+8.92   , -∞≤x≤∞ a) find the value of k. By axioms of probability we…

Q: a) What must c be for the function to be a probability density function? b) Calculate F(1).

A: c can be calculated as:

Q: The probability density function of X, the lifetime of a certain type of electronic device (measured…

A: Solution:

Q: The temperature X at which a thermostatically controlled switch turns on has probability density…

A: The provided probability density function is  f(x)=12    59≤x≤600       otherwiseThe mean is…

Q: 1. The diameter of a particle of contamination (in micrometers) is modeled with the probability…

A:

Q: Find the cumulative density function for the given probability density function. 1 for 2<x<6 4 f(x)…

A:

Q: If you know that the following function is joint probability density function (8xy* 0<x< yst f(x, y)…

A: Given: The joint density function given is as follows fx,y=8xy4               0≤x≤y≤t0…

Q: For a particular kind of battery, the probability density function for x hours to be the life of a…

A:

Q: The probability density function of X, the lifetime of a certain type of electronic device (measured…

A: Basic probability based question

Q: For what value of c is the function {3 [c/x5 if x 2 1 f(x) otherwise a probability density function?

A: Obtain the value of C. The value of C is obtained as follows; Probability Density function:

Q: 4. By the end of 2021, the percentage, X, of the population (expressed in decimals) that will be…

A: Given: The probability density function,         f(x)=kx , 0&lt;x&lt;1 0      , elsewhere

Q: For what value of c is the function if x > 1 f(x): (x) = {C/x9 otherwise a probability density…

A:

Q: Answer true or false -- must type T or F. The following function is a probability density function.…

A:

Q: The lifetime T (in years) for a particular type of electric toothbrush is assumed to have the…

A: Solution

Q: Suppose that the unknown X is ≥ 2  and has the probability density function fX(x)=Ce^−x,x ≥ 2.What…

A:

Q: The sales tax returns of a business man is exponentially distributed with the density function given…

A:

Q: Decide whether the function f(x) =7x -5 is a probability density function on [- 1, 1]. If not, tell…

A: Topic:-  probability

Q: 4 Consider the following two functions, each having an unknown parameter c. Sc(a2 + 4x + 7) -5<x < 5…

A: Given, The following two functions:                                                  f(x) = c(x2 +…

Q: Consider times at which a parent provisions nestlings, that is, the time be- tween arrivals of a…

A:

Q: For a given probability density function below, solve for "c" so that it becomes a valid pdf. x > 1…

A: We have given that The probability distribution function of X and we have to find the value of c…

Q: نقطتان )2( Q10) If you know that is the following function is joint probability density function, *…

A: Correct answer is  0.971

Q: After extensive studies, economists have determined that an average Canadian family can live on…

A: Economists have determined that an average Canadian family can live on their savings for t months…

Q: Consider the following exponential probability density function. 1.-x/3 f(x) = e for x 2 0 3 (a)…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Show that the following are the probability density functions: fi(x) = e-*I(0,00)(x) f2(x) =…

A: To prove that f(x) is a pdf, we must show that f(x) &gt;= 0 for all x and, using I[a, b] for the…

Q: The probability density function of X is given by S6-2a, 2< I<3 f(x) =10, | otherwise What is the æ…

A: The pth quantile of a random variable X with probability density function f(x) is given by; P(X≤x)=p

Q: .) The probability density function of the random variable X is given by: for x > 0 otherwise. f(x)…

A:

Q: [Q1] If the probability density function is f(x) as follows, find: (a) k that makes f (x) a valid…

A: From the given information, Consider, fx={ kx41-x,  0&lt;x&lt;1      ={0,  else Thus,

Q: The diameter of a particle of contamination (in micrometers) is modeled with the probability density…

A: Farmula  Var(X)=E(X^2)- [E(X)]^2 We want to find the value  (1) C  (2) E(X) = ?  Var(X) = ? (3)…

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.