Express f as a function of three random variables g z and

Reference no: EM13631971

1.Most days you are good. But some days you are bad. Each day there is a 99% chance you are good and a 1% chance you are bad. If you are bad 3 times, you are 'out' and you go to prison. On average, how many days until you go to prison?

2.You are a party animal. Your two best friends George and Ziyi like to buy you beer. The number of beers that George buys you is a random variable G with mean 3.0. The number of beers that Ziyi buys you is a random variable Z with mean 4.2. You are downtown and are equally likely to run into either George or Ziyi (but not both). G and Z are independent.

Let F be the number of beers your friend buys you.

a) Express F as a function of three random variables: G, Z, and B~Bin(1,1/2), where all 3 are mutually independent.

b) compute the expected value of F.

3. Let X be a random variable with two outcomes, x1, x2 having probabilities p1, p2, respectively, so that p1+p2 = 1. Assume in addition that mean, E(X)=0 and Var(X) = 1

Show, by finding three different examples of such X, that this information is not enough to determine X.

Reference no: EM13631971

Questions Cloud

Design a spatial filter to be placed in the fraunhofer : design a spatial filter to be placed in the fraunhofer plane of a 1.00 m focal length lens if the optical system is

Determine the intermediate pressures that minimize the : consider a three stage compression process with intercooling and determine the intermediate pressures that minimize the

A tunnel 150 m long 72 m high and 58 m wide with a flat : a tunnel 150 m long 7.2 m high and 5.8 m wide with a flat roof is to be constructed 60 m beneath the ground. the

Change to a rotating reference system and write the force f : consider a rotating bucket of water spinning with constant angular speed w. after the system stabilizes the water will

Express f as a function of three random variables g z and : 1.most days you are good. but some days you are bad. each day there is a 99 chance you are good and a 1 chance you are

Ac has a diameter of 05 in l5in and cdb has a diameter of 1 : the steel shaft gst 10.8times103 ksi is made from two segments ac has a diameter of 0.5 in l5in and cdb has a diameter

Compare the turbine exit quality for a simple cycle without : reheat where high pressure and low pressure turbines are used is added to a simple steam cycle to increase the steam

The coca-cola company reported that the mean per capita : the coca-cola company reported that the mean per capita annual sales of its beverages in the united states was 423

The extraction steam from the turbine enters the heater at : a regenerative steam power cycle has a closed feedwater heater that heats 20 kgs of water from 100degc 20 mpa to

User Account

All Pages