i need solution of part d , e , f ,g , h The distance, X, between flaws on a long cable has an exponential distribution with a parameter > =1/2f(x,^) = λ ex for 0 ≤ x ≤ ∞, λ =e) What is the probability that X is > 5?. λ is what R calls rate.Hint: This is a problem involving the exponential distribution. Knowing the parameter for the distribution allows you to easily answer parts a,b,c and use the built-in R functions for the exponentialdistribution (dexp(), pexp(), qexp()) for other parts. Or (not recommended) you should be able to use the R integrate command with f(x) defined as above or with dexp() for all parts.a) What is the expected value of X?b) What is the variance of X?c) What is the standard deviation of X?d) What is the probability that X is larger than its expected value?f) What is the probability that X is > 10?. Thus, the density of X is:g) What is the probability that X > 10 given that X > 5?h) What is the median of X?

Given that Pdf of X is f(x,λ) = λe-λx , 0<x<inf λ=1/12 Note: According to bartelby question…

Answered: d) What is the probability that X is…

d) What is the probability that X is larger than its expected value? e) What is the probability that X is > 5? f) What is the probability that X is> 10?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 27T

See similar textbooks

Related questions

Q: Frum Data Set VI in Appendix B. select a sample of 20 values and find the 90% confidence interval of…

Q: What is the probability of selecting two queen cards from the deck of 52 cards? What is the…

A: Solution:- What is the probability of selecting two queen cards from the deck of 52 cards? The…

Q: • The variance computed from the sample data was 2.25. Construct 95 percent confidence intervals for…

Q: C1. (a) (i) State the addition rule for two general events E and F. (ii) Using the addition rule for…

A: Please note that as per our guidelines of multiple parts question we can answer the first question.…

Q: Solve step by step in digital format 7.- A group of 8 friends wants to play in a fast soccer…

A: Total players = 8 friends In tournament : Maximum number of players = 5 Different ways they can…

Q: Find the following probabilities. It may help to sketch the pdf for Standard Normal Distribution and…

A: as per our guidelines we are suppose to answer only three sub parts. 7)Given,X~Norm(266 ,…

Q: down payment $ mortgage $

A: Solution:

Q: The table summarizes results from pedestrian deaths that were caused by automobile accidents.…

A: The table regarding pedestrian deaths that were caused by automobile accidents, is given.

Q: There are 2 lizards and 5 snakes. Two animals are chosen at random without replacement. The tree…

A: Given,no.of lizards=2no.of snakes=5Total no.of animals=7

Q: ~ 8) X Norm(-2, 52), find Pr(-4 < X <-3)

Q: Solve step by step in digital format 10.- The results obtained in an exam given to 500 students are…

A: Given data normal distrributionμ = 40σ = 10P(30<x<60) = ?

Q: A Christmas candy bag has 3 orange candies, and 6 chocolate candies. A kid takes 3 candies at…

A: In this case, there are 3 orange candies and ,6 chocolate candies. Also, Odds against an…

Q: Use the following information, n=6, p =0.67 to find the following Binomial probability P(5) =

A: given data n = 6 p = 0.67 P(x=5) = ? binomial distribution

Q: percent are 7.64 The amount spent for goods online is normally distributed with mean equal to $125…

A: We have given that Mean(µ) = 125Standard deviations (σ) = 25X ~ N (µ, σ )= N(125, 25)

Q: Bananas cost 10 rupee each and apples cost 30 rupees each. C is the cost of one purchase from fruit…

A: We have given, The bananas cost 10 rupee each. The apples cost 30 rupee each. Let C be the cost of…

Q: why do we do 1-P(all), and what is P(all)

A: Given information event A : bus is running event B : tube is running event c : monorail is running…

Q: You roll an ordinary six-sided die. If you roll a "one" on the die, you toss a coin five times; if…

A: if we toss a coin than the possible outcomes are two.if we roll a die than the possible outcomes are…

Q: Example: A tensile strength of synthetic fabric have a normal distribution with 600 newton mean and…

A: GivenMean(μ)=600Variance(σ2)=64standard deviation(σ)=64=8The buyer of the fabric wants the breaking…

Q: The hospital administration classifies patients with and without comorbidities. As shown below, a…

A: under 20 20 to 40 over 40 total with comorbidities 27 41 14 82 without comorbidities 12 34 22…

Q: Can you graph #10 on pencil and paper please

A: Given Question 10 X~N(64.4, 2.42) P(|X|>70)=0.9901

Q: geometric probability A coin with diameter 2r < a was tossed onto an infinite chessboard whose…

A: Diameter = 2r where r - radius A coin is tossed and has a diameter 2r<a length of the square in…

Q: 1. As part of the game "Scrabble", you draw tiles with letters on them from a bag. Let's consider a…

A: Let us consider, there are four tiles in the bag, labeled as "A", "C", "G" and "I". We are drawing…

Q: Suppose that X is a random variable which takes only two values: -2 and +2, and that Y = aX + b…

Q: Why would you do a block design on: You are deciding if magnets can reduce herniated disk pain. You…

A: Solution:- given that randomly selected 40 males and 40 females. You then provide 20 females and 20…

Q: A machine producing components with a 10% defective rate. Determine in a sample of 6 components…

A: It is given that n = 6 and p = 0.10.

Q: 4. Event C occurs with a probability of 0.2 and Event D occurs with a probability of 0.3. If C and D…

A: As per our guidelines we are suppose to answer only one sub part. 4)Given,P(C)=0.2P(D)=0.3Event C…

Q: The probability that a machine breaks down on any given day is 0.2. Find the probability that,…

A: Let p be the probability that a machine breaks down. Given that p = 0.2

Q: 7. If X and Y are independent random variables drawn from the standard uniform distribution, on the…

A: Given X, Y ~ U(0,1) X and Y are independent.

Q: 11. If the temperatures of various cities are recorded for a year, what would the measures of spread…

A: Solution:- The measures of spread, such as the range, interquartile range, and standard deviation,…

Q: If U1, . . . , Un are independent uniform random variables, find E(U(n) − U(1)). Find also E(U(k) −…

A: Given, U1, . . . , Un are independent uniform random variables.

Q: Find the probability that the hand contains the given cards. no diamonds

Q: er in simplified fraction form

A: A student has only lego = 35 A student has only toy cars = 40 A student has lego and has toy cars =…

Q: common proposal beating lottery Ich numbers have come up lately, eliminate those from consideration,…

A: according to question this is proposal for beating the lottery is to note number came up lately one…

Q: Uses a table of values to establish the probability distribution of X. Round your answers to four…

A: Let p be the probability that a battery is defective. Given that p = 0.2% = 0.002 Let X denote the…

Q: Question 1 In how many ways a captain can be made in a class having 3 boys and 4 girls?

A: 3 boys and 4 girls in class we have to find no. of ways to choose captain = ?

Q: 1.3-2. The following table classifies 1456 people by their gender and by whether or not they favor a…

A: Given From table n(Total)=1456, n(S1,A1)=392,n(S2,A1)=649, n(S1,A2)=241, n(S2,A2)=174 ,…

Q: 1.1-3. Draw one card at random from a standard deck of cards. The sample space S is the collection…

A: Hi thank you for posting this question , since you have posted multiple subparts we have solve…

Q: 6.84 Three cards are drawn from a deck of 52 cards. Find the probability that (a) two are jacks and…

A: Given::- Three cards are drawn from a deck of 52 cards.

Q: (Device lifetime) A satellite orbiting the Earth contains a device whose lifetime X (in years) has…

Q: In a certain state lottery, a lottery ticket costs $3. In terms of the decision to purchase or not…

Q: A food truck sells a 6-piece and 8-piece chicken nugget order along with one side. Bob recorded the…

A: It is given that a food truck sells a 6-piece and 8-piece chicken nugget order along with one side.

Q: I have a habit of getting up before the sun rises. My socks are all mixed up in the drawer, which…

A: here given data, 20 blue and 18 black shock given, we need minimum sock that give guarantee of at…

Q: Five identical bowls are labelled 1, 2, 3, 4 and 5. Bowl i contains i white and 5-i black balls,…

Q: This is incorrect, could you please redo it.

Q: Weight Loss (pounds) 0 to <5 5 to <10 10 to <15 15 to 20 20 to 25 A sample of 400 people was…

A: Given Information: Weight loss (pounds) Frequency 0 to < 5 116 5 to < 10 144 10 to…

Q: Can you draw #8 on pencil and paper

A: Solution

Q: If you flip a fair coin 12 times and X is the number of times the coin came up "Heads", what is P(X…

A: From the provided information, A fair coin flipped 12 times that is n = 12 Probability of occurring…

Q: • Example: A bread factory produces breads with an average of 300 grams and a standard deviation of…

A: Z is known as standard normal variable and it's value is obtained using standard Normal table.

Q: 3. You are in a game show in which you're asked a sequence of true/false questions. If you answer…

A: 3) Let Ei denotes the event that you answer the ith question correctly, i=1,2,3,.... Given that you…

Q: The best experimental design manipulates only one variable, the [Select] variable, such as cookies…

A: In the experiment, the variable which influences only one variable is considered an independent…

Question

i need solution of part d , e , f ,g , h

The distance, X, between flaws on a long cable has an exponential distribution with a parameter > =
1/2
f(x,^) = λ ex for 0 ≤ x ≤ ∞, λ =
e) What is the probability that X is > 5?
. λ is what R calls rate.
Hint: This is a problem involving the exponential distribution. Knowing the parameter for the distribution allows you to easily answer parts a,b,c and use the built-in R functions for the exponential
distribution (dexp(), pexp(), qexp()) for other parts. Or (not recommended) you should be able to use the R integrate command with f(x) defined as above or with dexp() for all parts.
a) What is the expected value of X?
b) What is the variance of X?
c) What is the standard deviation of X?
d) What is the probability that X is larger than its expected value?
f) What is the probability that X is > 10?
. Thus, the density of X is:
g) What is the probability that X > 10 given that X > 5?
h) What is the median of X?

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 3 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

gand h using r language

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

After which time tB will the router fail for the second time with a probability of at least P = 0.999? Hint: You will face a transcendental (in)equation, which requires an approximate/numeric solution, e.g. by searching for the intersection tB of two curves, s(t) and m(t) = 0.999 Note: until failure is approximately well estimated with an exponential distribution with a rate λ = (100h) −1
Show that a gamma distribution with α > 1 has a rel-ative maximum at x = β(α − 1). What happens when 0 <α< 1 and when α = 1?
Show that if ν > 2, the chi-square distribution has arelative maximum at x = ν − 2. What happens whenν = 2 or 0 <ν< 2?
Points are selected, one by one, from an exponential distribution with parameter λ = 2, until we get one point (say X) that exceeds 1. (a) Find the expected number of points below 1 that will be selected before X is obtained. (b) When a point that exceeds 1 is finally reached, what is the probability that this point actually exceeds 1.5?
The depth to which a pile can be driven without hitting the rock stratum is denoted as H (see figure below). For a certain construction site, suppose that this depth has a log-normal distribution with mean of 30 ft and coefficient of variation of 20%. In order to provide satisfactory support, a pile should be embedded 1 ft into the rock stratum. What is the probability that a pile of length 40 ft will not anchor satisfactorily into the rock?
Suppose that Y has an exponential distribution with mean Beta. Show that 2Y/Beta has a chi square distribution with 2 degrees of freedom.
The lifetime of an aquatic insect has an exponential disribution with parameter θ = 10 hrs. (i) What is the probability that an aquatic insect lives longer than 12 hrs? (ii) What is the median of this distribution? (50% live less time and 50% live longer) (iii) Assume the lifetimes of these insects are independent of each other. What is the probability that at least 35 of the next 100 insects live longer than 12 hrs?
Today, the waves are crashing onto the beach every 6 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 6 seconds. Round to 4 decimal places where possible. Suppose that the person has already been standing at the shoreline for 0.4 seconds without a wave crashing in. Find the probability that it will take between 1.6 and 1.9 seconds for the wave to crash onto the shoreline. 47% of the time a person will wait at least how long before the wave crashes in? seconds. Find the maximum for the lower quartile. seconds.