Suppose X has a survival function given by s (x) = 1[100 – x]1/2, 0 ≤ x ≤ 100Find F(x), the distribution of X a) Suppose X has a survival function given bys(x) = 0.1[100-x]¹/2, 0≤x≤ 100b)i)Find F(x), the distribution of Xii)Find f(x), the density function of Xiii)Find u(x), the force of mortality at age xiv) Calculate 1000 μ(35)v) Calculate 2036For the curtate future lifetime of (x)Show that ex = px (1 + ex+1)(1)(ii)Find e60 given that e63 = 13.5 and p60+k= 0.9(10.1k), k = 0, 1, 2......

Survivor function S(t)=1-F(t) for t>0

Answered: i) Find F(x), the distribution of X

Math

Advanced Math

i) Find F(x), the distribution of X

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Suppose continuous variable X is uniformly distributed on an interval of length 4. The mean of the…

A: Given that X~U(a,b) b=4 Mean =0.6726

Q: Find the distribution function for f(x). (0.5 1 1<x<2 ƒ(x) = { ½ x x 2<x<3 0 elsewhere

Q: The amount of time in minutes that it takes for a randomly selected customer to finish checking out…

A: Ans:- Given, X is a continuous uniform random variable on the interval 0 to 5 minutes.…

Q: Assume that X has the distribution N (10, 4), find: P (Z > - 3) P (11.36 < X < 16)

A: From the provided information, Mean (µ) = 10 Standard deviation (σ) = 4 X~N (10, 4)

Q: distribution is given as X ~ U(0, 12). Find P(x > 3)

Q: proba

Q: Suppose X = the time it takes Bob to do a task is at least 10 minutes but no more than 15 minutes. X…

A: We have to find given f(x)..

Q: One card is chosen from a set of 149 cards that have ranks 1 to 7. Let X be the number on the card…

A: (f)The discrete probability distribution of random variable X is given as:The needs to be obtained…

Q: Suppose x has a uniform distribution with…

A: Given Information: A random variable X has a Uniform distribution. a=100 and b=200 (a) To find μ and…

Q: Certain small toys are advertised to weigh 28 grams. However, the actual distribution of weights can…

Q: The distribution of X, the time it takes women between 50 and 55 to run a 10k race, is such that the…

A: It is given that:

Q: (a) Mean, variance, and standard deviation of X (b) P(X<2.5). (c) Cumulative distribution function

Q: Consider the following function given below with a specified range for the variable t, where t…

A: Given, the probability density function of the time required to clear a minor traffic accident on a…

Q: Assume that X follows a continuous uniform distribution on the interval [3, 8]. Find P[X s 6].

Q: Suppose that this function represents a continuous uniform distribution over the interval 1/3≤x≤k.…

A: Given: fx=76 , 13≤x≤k

Q: Suppose X has a continuous uniform distribution over the interval [-5, 5]. Determine the following:…

A: Solution: From the given information, X follows uniform distribution with parameters a=–5 and b=5.

Q: Write an explicit formula for the sequence 14 19 8 29 9, 3'7'5'31 5 n+ 4 2"-1 9 n b. an 2" -1 5n +4…

Q: F If f(3) = 5 and f'(x) ≤ 2 for 3 ≤ x ≤7, how large Use Mean Value Theorem) can f(7) possible be?…

Q: Verify that the following is a distribution function: X a

Q: Continuous variable X is uniformly distributed on the interval [7.5, 32.6]. What is its interquartil

A: Given that X is uniformly distributed on the interval [7.5, 32.6]. fx=132.6-7.5 =125.1,…

Q: x has the uniform distribution [0,1] put y=2x + 5 then y has the uniform distribution on the…

Q: population size, and size of firms is the Pareto family. One such member of the P family is the…

A: Given that Pdf of X is f(x) = (c/x3) , x > 2

Q: Determine P(1<XS 3) from the cumulative distribution function of X. (0, 1/4, F(x)=1/2, 3/4, 1, x <…

Q: Consider the graph to the right. Explain the idea of a critical value. Then determine which x-values…

A: Given: A graph of function, To find: What is idea of critical point ? Which x-values are critical…

Q: Determine whether the following is a valid distribution function F(X) = 1- e/2 for x>0

Q: Distribution function is as follows: [0.01x² -4<x<-3 0.2x+0.5 -2<x<-1 2<x<3 4. f(x)=0.1x cx* 3<x<7…

A: Given,To,calculate the median of the distribution function.

Q: The mean µ for the continuous uniform distribution defined on the interval [2, 8] is 5. false true

A: A continuous random variable is said to follow a uniform distribution with parameters a and b, if…

Question

Suppose X has a survival function given by s (x) = 1[100 – x]^1/2, 0 ≤ x ≤ 100
1. Find F(x), the distribution of X

a) Suppose X has a survival function given by
s(x) = 0.1[100-x]¹/2, 0≤x≤ 100
b)
i)
Find F(x), the distribution of X
ii)
Find f(x), the density function of X
iii)
Find u(x), the force of mortality at age x
iv) Calculate 1000 μ(35)
v) Calculate 2036
For the curtate future lifetime of (x)
Show that ex = px (1 + ex+1)
(1)
(ii)
Find e60 given that e63 = 13.5 and p60+k= 0.9(10.1k), k = 0, 1, 2......

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: Discription of the step 1

VIEW

Step 2: Discription of the step 2

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

Hi, the rest of the questions weren't answered

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

2. Consider the experiment of rolling a die until a "6" appears. Let X be the number of rolls needed. Plot the Cumulative distribution function Fx(x) of X. Describe what it means for a function to be right-continuous. You are encouraged to use a computer program to plot this, although it is acceptable that you use rulers and pencils. (You don't need to plot the whole function because the possible values could be ar- bitrary large. Try to plot from 0 to the value that you think it shows the major trend.)
The (cumulative) distribution function of X is given below: for Fx(x) = ¹ for { for (a) Determine the pdf for X. (b) Determine the value of the constant k. x 1.
Suppose that the lifetime in years, X, of a type of electrical switch follows the distribution f(x)=12e−x2f(x)=12e−x2for x>0x>0. What type of continuous distribution is this and what is the average lifetime of one of these switches?
The loss amount, X, for a medical insurance policy has cumulative distribution function: for x 4 Calculate the mode of the distribution.
3. A continuous function f is defined on the closed interval -4≤x≤4. The graph of the function, shown in the figure to the right consists of a line and two curves. There is a value a, -4≤a<4, for which the Mean Value Theorem, applied to the interval [a,4] guarantees a value c, a ≤ c <4 at which f'(c)=3. What are possible values of a? I. -4 II. 0 III. 2 A. I only B. II only D. II and III only E. I, II and III C. III only co (-4,-12) -2 4 12 10 8 6 4 2 -2 -4 -6 -8 -10 -12 1 (2,6) 2 3 (4.12)
The following function is a cumulative distribution function. x < -10 0.1510
9
Not sure how to answer questions C through E. Suppose that X has a (continuous) uniform distribution between 10 and 20 (a) Compute E (X). (b) Compute Var (X). (c) Compute P (X < 12). (d) Compute P (X > 12). (e) Compute P (X < 8 or X > 22).
The amount of time it takes Susan to wait for the bus is continuous and uniformly distributed between 4 minutes and 18minutes. What is the probability that it takes Susan less than 5 minutes given that it takes less than 11 minutes for her to wait for the bus
What is the probability that a randomly selected customer will take more than 3 minutes to check out their groceries? What is P(X>3)? Round to the nearest tenths/first decimal place, 0.x
11 Assume the GPAS of high school students, X, follows a continuous uniform on the domain 1