Let f(t) be the probability density function for the time it takes you to drive to school in the morning, where t is measured in minutes. Express "The probability that it takes you more than half an hour to get to school" as a probability.

Q: A transmission repair firm that wants to offer a lifetime warranty on its repairs has determined…

A: probability that it will last 5 or less months

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: The exponential probability density function is f(y, 1)= \e¯ ^y for y, A20 Show that the exponential…

A:

Q: determine which are probability density functionsand justify your answer.1. ƒ(x) = 1/18 x over [4,…

A: The expression of the function is f(x)=  1/18 x  The interval of the function is [4, 8]

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

A:

Q: Determine the value of c for which the function below will be a probability density functi So(8x' -…

A: Here given thatf(x)=c8x3-x4   ; 0≤x≤80                    ; other

Q: (a) Explain why P(X ≤x) #1, for every x. (b) Find a and b. (c) Find the probability density function…

A:

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: In a study of intelligence, the time (in seconds) for a laboratory animal to reach a reward in a…

A: *concept:- conditional probability.

Q: Determine whether the function is a probability density function over the given interval. f(x) =…

A: Answer is below

Q: Show that f(x)f(x) is a probability density function,

A:

Q: Let Kcosx f(x) = otherwise be probability density function of X a)Find the value of c b)Compute E…

A:

Q: From this density, the probability that X > 1.02 or X < 0.32 is:

A: The probability distribution of X is  f(x) = 12  ; 0&lt; x&lt;2

Q: What is the probability density function of W =min{X, Y }

A: Answer: Let X and Y be two independent random variables with identical probability density function…

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: Determine the value of c that makes the function f (x, y) = cxy for 0 < x < 4 and 0 < y < 4…

A: The joint pdf of X and Y is given by f(x, y) = cxy , 0 &lt; x &lt; 4 and 0 &lt; y &lt; 4

Q: Let F(x) = S f(z)dz where f(x) is a valid probability density function. Find an expression for -00…

A:

Q: determine which are probability density functions and justify your answer. 1. ƒ(x) = 1/18  x over…

A: For a function to be a probability density function (p.d.f) it must fulfil the conditions;a)Function…

Q: Give the two conditions that a probability density function for [a, b] must satisfy.

A: The probability density function f(x) lies in close interval a to b.

Q: Sketch the graph of the probability density function over the indicated interval. f(x) [0, 8] 8(x +…

A:

Q: determine which are probability density functionsand justify your answer.

A:

Q: Decide whether or not the function is a probability density function on the indicated interva f0) =…

A:

Q: Is the probability density function a valid PDF? * if x 1 F(x) = x2 +=x3/2 %3D ON/30

A: the probability density function i.e., pdf of a random variable X is denoted by f(x) and the…

Q: Let X and Y have the following joint probability density function(pdf): if 0 < x < 1, 1<y<2 f(1, y)…

A: Consider the following pdf- f(x,y)=c.x2y,0&lt;x&lt;1, 1&lt;y&lt;20,otherwise EX|Y=∫01x f(x,y)dxf(y)

Q: Determine whether the function is a probability density function over the given interval. 35)…

A:

Q: Find Prob(3 < x < 7) given that the probability density function is f(x) = .2e:2ª,

A:

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: Find the exact probability density of the sum W = X + Y.

A:

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

A: Solution:

Q: First, find the probability mass function f(x).

A: A game is played using a four-sided wooden top, with one of four letters on each face, A, B, C, or…

Q: The probability density function of the age of the babies, x years, being brought to the clinic to…

A: since it has multiple parts , first three parts are answered in detail .Kindly repost for more help.

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

A:

Q: Find the probability density of the sum W = X+ Y.

A:

Q: Since height is a continuous numerical variable, its probability density function is represented by…

A: In statistics, the continuous variables are variables whose values can be given by an interval, they…

Q: Verify that f(x) is a density function and find also the mean of X.

A:

Q: For the one that is a probability density function, find the probability that is between 0 and 0.2.

A: ∫ -∞∞f(x)=1⇒∫ -∞0f(x) + ∫0∞f(x)⇒∫ -∞00 + ∫0∞8e-8x⇒8e-8x-80∞⇒-e-∞-e0⇒-e∞≠1 this is not a pdf

Q: Find a value of k that will make fa probability density function on the indicated interval. f(x) =…

A: See the answer below

Q: The table below shows an incomplete probability density function for X , the number of imperfections…

A: Given probability density table,

Q: Let X denote 0.025 × the ambient air temperature (˚C) and let Y denote the time (min) that it takes…

A:

Q: For the joint probability density function f(x,y)= k(x² +y²), Find k Find the marginal and…

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: The label on a bottle of salad dressing shows the contents to be 16 ounces per bottle. The…

A: a. The graphical sketch of the pdf is,

Q: Determine whether the following function is a probability density function. f(x) = 32 x, 0sxs8 Is…

A: Solution

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 probability density function fx (x) = a e-b lel where X is the ran variable which…

A:

Q: n a study of intelligence, the time (in seconds) for a laboratory animal to reach a reward in a maze…

A:

Q: Find a such that f(x) is a probability density function. If it does not exist, enter DNE. if 2 < z<…

A:

Q: Determine the value of c that makes the function f (x,y) = cxy for 0 < x < 4 and 0 < y < 4 satisfies…

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!