Question: Consider the exponential probability density function: f(x) = 1/3ex/3 for x 0 a. Write the formula for P(x x0). b. Find P(x

Consider the exponential probability density function:
f(x) = 1/3e–x/3 for x ≥ 0
a. Write the formula for P(x ≤ x0).
b. Find P(x ≤ 2).
c. Find P(x ≥ 3).
d. Find P(x ≤ 5).
e. Find P(2 ≤ x ≤ 5).

Step by Step Solution

★★★★★

3.36 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b Px 2 1 e 23 1 5134 4866 c Px 3 1 P... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

148-M-S-P (511).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

b) Discuss the continuity at x = 5 of the function f(x) = (x - 25 x-5 2x if if x = 5 x = 5

The random variable X has probability density function as follows: a. Graph the probability density function for X. b. Show that the density has the properties of a proper probability density...

The random variable X has density function f given by (a) Determine K in terms of Î¸. (b) Find FX(b), the CDF of X. (c) Find E(X). (d) Suppose for OS vs 0. elsewhere.

2) Consider the following exponential probability density function. f(x) =e8 for x 3 0 a) Write the formula for P (x { Xo). Formula: P(x SX0) =1 - e-xo/M =1-e^-x0/8 + b) Find P (x E 2 e = 2.718282...

Consider the exponential probability density function: 1 it) = e" for x 2 0 3 a. Choose the correct formula for P (x 5 x0). (1) p (x 5 x0) = 1 - e\""'3) (2) P (x 5 x0) = 1 + 64'0\") (3) p (x 5 x0) =...

3. Buses arrive to a bus stop according to an exponential distribution with rate ?= 4 busses/hour. If you arrived at 8:00 am to the bus stop, a) what is the expected time of the next bus? b) Assume...

2) Consider the following exponential probability density function. f(x)=1/8 e^((-x)/8) for x 0 a) Write the formula for P (x x 0 ). b) Find P (x 2 ). e = 2.718282 P(xx0)=1 - e^(-x_0/) 1/8 * e^(...

WebAssign Homework X Chapter 5 Section 6.2 - Horn X Chapter 5 Section 4.2 - Horn X t Course Hero o 6 C' 0 webassignnet ) . ,_i . . , i, ,4 . ' , . . . *1.) Apps 6 Web Slice Gallery E imported From iE...

Practice Exam 1 1. (19 total points) PROBABILITY CALCULATIONS Let X be a continuous random variable with probability density function f (x) = 3x2 , for 0 x 1 . 2.0 1.0 0.0 f(x) = 3x2 3.0 Here is a...

Let X1, X2, .., An be a random sample from a distribution with probability density function In x 1 if 0 0; f (x0') = otherwise; Given: E (X) = : 2 ; and Var (1=]] -8. If f (x]o=) belongs to the...

Let F: [-5,2] R defined by [3 if-5 x

Based on data from six countries, the paper A Cross National Relationship Between Sugar Consumption and Major Depression?(Depression and Anxiety [2002]: 118 120) concluded that there was a...

Which of the following best describes spyware? It monitors user actions that denote personal preferences and then sends pop the user that match their tastes. It is a malicious program that is...

Based on the IFAC Code of Ethics for Professional Accountants, threats to independence arise from all of the following except: a. Self interest. b. Advocacy. c. The audit relationship. d....

A company is trying to determine how to allocate its $145,000 advertising budget for a new product. The company is considering newspaper ads and television commercials as its primary means for...

The Shop at Home Network sells various household goods during live television broadcasts. The company owns several warehouses to hold many of the goods it sells, but also leases extra warehouse space...

A bank has $650,000 in assets to allocate among investments in bonds, home mortgages, car loans, and personal loans. Bonds are expected to produce a return of 10%, mortgages 8.5%, car loans 9.5%, and...

I got 21.92-0.32 (xt-1) which is incorrect. can someone please provide the answers for all the questions with an explanation. thanks in advance The data below show the volume of transactions (in...

A company has an ROA of 6% and an equity multiplier of 2.0. Net Income for last year was $10.0 Million, of which $4.0 Million was paid out as dividends. What is the Sustainable Growth Rate? Select...

An assembly-line robot installs a CD player in each car produced on the line. For quality control, the units are tested to make sure that they are installed properly. The robot has a probability of...