Answered: the events C and D are independent in…

Math

Probability

the events C and D are independent in sample space S. Also, Pr[C] =0.85 and Pr[D']=0.70. Find Pr[C' | D]

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Let a r.v. have a mean of -1 and a standard deviation of 2. For the corresponding m.g.f. M(z), write…

A: mean =-1 and standard deviation =2 Then we have to find the generating function of z and it's…

Q: 15 33

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: a. What is probability that a randomly selected employee has a commute of less than one hour and…

A: Here given joint pdf of X and Y

Q: On what interval(s) of P is the population increasing? dP P 1.5P (1- dt 5000/

Q: Suppose that an item has a hazard rate function X(t) = 2.4t², t> 0. What is the probability that (a)…

Q: Suppose we have random samples (X₁, X2, X3, X4, X5) and it is known that X; ~ Exponential(0). `…

A: Given that Xi∼Exponential(θ) for all i=1,2,3,4,5. where θ is the rate parameter and θ>0The…

Q: Find mean and the first three moments about 3 1 IEX is a Poisson variate with parameters n= 6 and p…

Q: 2. Suppose that X is normally distributed with u =-7 and o2 P(X 2x) = 0.84. 14. Find the value of x…

Q: 10. sample Let X Let X₁, X2, Xn be a random from a uniform population U(0,1). ¹x₂ i=1 be the sample…

A: Here X1,X2,...,Xn is a random sample from U(θ,1) population. Let X~U(a=θ,b=1). The population mean…

Q: A manufacturer produces widgets that are packaged in boxes of 100. The probability of a widget being…

A: A manufacturer produces widgets that are packaged in boxes of 100. The probability of a widget being…

Q: 12. Let a random variable X has a geometric distribution with p.d.f. f(x) = pq*", k =1,2,3,. Show…

Q: Percentage of dividend income: % 2. Number of shares: 3. Amount of income: $

Q: Ex1: Suppose that f(x)=e* for x>0 Determine the following: a/P(X=1),P(X=2 or X = 3) b/ P(X > 2),…

A: Given Pdf f(x)=e-x x>0 Result: If f(x) is the continuous distribution, then at point a,…

Q: From a set of observations the arithmetic mean and variance were calculated. It is found that one of…

Q: Y is an exponential random variable uith var [y]<25 what i's the PDr of y? what is the ELY]? what is

A: Given that Y is an exponential random variable. And, varY=25 Exponential distribution: A random…

Q: P(C|m')

Q: 21. For the distribution dP = yo e - bxl dx, - 00 Sxs∞ | 1 Hi = 0, o = v2, mean deviation about the…

Q: (4) Battery lifetime is a Normal r.v. with μμ=500 days and σσ=61 days. (a) What is the probability…

A: Mean ( u ) =500Standard Deviation ( sd )=61Normal Distribution = Z= X- u / sd ~ N(0,1)…

Q: Suppose that E and F are two events such that Pr[E] = 17/29, Pr[F] = 13/29, and Pr[EN F] = 8/29.…

A: Given, P(E) = 1729P(F) = 1329P(E∩F)=829

Q: 20. A continuous random variable X has CDF given by if x <1 F(x) ={2(x – 2 + 1/x) if 1<x<2 if 2 < x…

A: As Prof. A. K. Giri defined, "Probability Density Function: A continuous function f(x) is said to be…

Q: If p'q = 9p – 2, find dp/dq. dp %| dq

Q: (a) Find P (b) Determine its F (x). (c) The price of the mixture depends on the contents of its…

Q: X is an exponential random variable with the population's mean (ux) = 52. What is P(X < 42)? number…

A: Given data,μ=52σ=30If n=33P(X<42)=?

Q: (30) Let X be a random variable with p.d.f. 2e-2x 0<x<0 f(x) = { , find E(e*) O.w

A: It is given X is a random variable with pdf f(x) = 2e-2x,0<x<∞0,otherwise

Q: X is an exponential random variable with the population's mean (ux) = 52. %3D What is P(X < 48)?

A: Given data: The given value of the mean is μx=52. The expression for the probability when X<48…

Q: Suppose we believe that the life length 'T (in hours) of light bulb is exponentially distributed…

Q: Suppose you have a normally distributed population such that o? S', we find that from a random…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: Around 5 percent of patients actually have mononucleosis p(M) = .05. 90 percent of patients with…

Q: px (k) = c( (4)* k for k = 1,2,3,.. 3. Let X be a discrete random variable with %3D 3 A. Find the…

A: A) The value of c is calculated as follows: ∑1∞c13k=1c∑1∞13k=1 c13+132+133+...=1 c31+13+132+...=1…

Q: Question is attached.

A: Given thatThe moment generating function of a random variable isTo find mean and variance:

Q: Suppose that two independent and identically distributed random variables X and Y have common mgf…

A: Two independent and identically distributed random variables X and Y have common mgf:- MX(t) = MY(t)…

Q: reate and draw a Gaussian whose mean is 50 and standard deviation is 10. Arrange the x range such a…

A: From given information, Consider, X be the random variable that follows Gaussian distribution.…

Q: A password consists of two distinct numbers chosen from the set (0,1,.,5), and two distinct letters…

A: Solution: We have to find out answer of given question....

Q: If the population from which your samples are taken is not normally distributed, then sampling…

A: The shape of the sampling distribution of difference between sample means depends on the…

Q: The sample suggests that the food is safe, but it actually is not safe. type I O type II O not an…

A: Type I error (α) is the probability of rejecting the null hypothesis when it is actually true. Type…

Q: T has an exponential distribution such that P(TS2)=2P(T>4) What is Var(T)=

Q: Suppose P(A) = P(B) = 0.2 and P(AN B) = 0.1. What is P(AU B)?

Q: If X is a Poisson variate such that P(X = 1 3/10 and P(X = 2) = 1/5 Find P(X= 0) and P(X = 3).

A: Given that X is a Poisson variate. PX=x=e-λλxx!, x=0,1,2,... Given that P(X=1)=3/10.…

Q: Suppose that X,, X2,...,X, denotes a random sample from a Poison distribution with mean 2. Find the…

Q: In SD(X-mu/sigma)=1/sigma * SD(X) What happened to the mean mu?

Q: Suppose 1.8% of every Filipino births result in twins. From a random sample of 1000 births, let X be…

A: Answer:- Given, 1.8% of every Filipino births result in twins . Let , p = 1.8% = 0.018 Random…

Q: Q. 1 In University of Nizwa, you pass an exam if your total marks is 60 or more out of 100. Suppose…

A: Given μ=70, σ^2=16 We want to find (a)P(X>=60)= ? (b) P(X>=60/X>=50)= ?

Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Question

the events C and D are independent in sample space S. Also, Pr[C] =0.85 and Pr[D']=0.70. Find Pr[C' | D]

Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Single Variable$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Va, OL 1SIT 3. Find the probability of rolling a sum less than 5 or a sum greater than 9 when a pair of dice is rolled. Vx 14. The value of cos 1(-) =
(17') The random variable X obeys the distribution Binomial(n,p) with n=3, p=0.45. (a) Write Px(1), the PMF of X. Be sure to write the value of Px(T) for all z from -o to +oo. (b) Sketch the graph of the PMF Px[x]. (c) Find E[X], the expected value of X. (d) Find Var[X], the variance of X.
IfXhas exponential distribution with mean 1 (X~EXP(1)), then P(X>2|X>1)equals to
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?
If P(AUB)=0.7, P(AUB')=0.9 what is P(A)?
A person arrives at the side of a single lane, one way street as a car passes by. Consider this time as time 0. There is no traffic lights and no pedestrian lanes in the nearby area. He stands there watching cars pass by. The number of cars to pass by within a period of time cane be modeled using a poison distribution. Suppose the cars pass by the person at a rate of 4.5 cars per minute. Assume that the cars pass by instantaneously. what is the probability that no cars pass by him within a 2 minute window b) if the person had to guess how many cars would pass by in the next five minutes, what number should he guess? Why? c) what is the distribution for the time until the first car passes by him(time is continuous). What is the expected time until the first car passes by him?
Establish the following: 0P (E)1 , P (A u B) = P (A) + P (B) – P (A n B) , P (A) = 1 – P (A’) ii The probability that a boy with a catapult hits target A is 2/3and that he hits target B is ¾. Given the probability of hitting both targets to be 1/2, find the probability that he (a) hits at least one of the targets (b) does not hit any. iii What is the probability of having at least one 6 in three throws with a dice?
Prof that' For a fixed B with P(B) > 0, P(A l B) is probability function.
How do I prove the left equals the right? Using a one-way ANOVA model
Q5 Find the variance for the PDF px(x) = e-«/2, x > 0.
If P(B) = ² and P(A'^B) = 12, for two events A and B, find P(A/B).
3. Let X1,.., Xn be a random sample from a uniform distribution on the interval [a, b). In other words, X U(a, b). Obtain method of moments estimators for a and b.