A fan is to be selected to ventilate a bathroom whose

A continuous random variable, X, whose probability density function is given by f(x) = ( λe−λx , if x ≥ 0 0, otherwise is said t

Ganezh [65]

Answer:

a) $F(x) = \lambda \int_0^{\infty} e^{-\lambda x} dx= -e^{-\lambda x} \Big|_0^{\infty} = 1- e^{-\lambda x} \$

b) $P(10 < X$

Explanation:

Previous concepts

The cumulative distribution function (CDF) F(x),"describes the probability that a random variableX with a given probability distribution will be found at a value less than or equal to x".

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution".

Part a

Let X the random variable of interest. We know on this case that $X\sim Exp(\lambda)$

And we know the probability denisty function for x given by:

$f(x) = \lambda e^{-\lambda x} , x\geq 0$

In order to find the cdf we need to do the following integral:

$F(x) = \lambda \int_0^{\infty} e^{-\lambda x} dx= -e^{-\lambda x} \Big|_0^{\infty} = 1- e^{-\lambda x} \$

Part b

Assuming that $X \sim Exp(\lambda =0.1)$ , then the density function is given by:

$f(x) = 0.1 e^{-0.1 x} dx , x\geq 0$

And for this case we want this probability:

$P(10 < X$

And evaluating the integral we got:

$P(10 < X$

4 0

3 years ago

Steam at 75 kPa and 8 percent quality is contained in a spring-loaded piston–cylinder device, as shown in Figure, with an initia

Rashid [163]

The heat transferred to and the work produced by the steam during this process is 13781.618 kJ/kg

<h3>How to calcultae the heat?</h3>

The Net Change in Enthalpy will be:

= m ( h2 - h1 ) = 11.216 ( 1755.405 - 566.78 ) = 13331.618 kJ/kg

Work Done (Area Under PV curve) = 1/2 x (P1 + P2) x ( V1 - V2)

= 1/2 x ( 75 + 225) x (5 - 2)

W = 450 KJ

From the First Law of Thermodynamics, Q = U + W

So, Heat Transfer = Change in Internal Energy + Work Done

= 13331.618 + 450

Q = 13781.618 kJ/kg

Learn more about heat on:

brainly.com/question/13439286

#SP1

6 0

1 year ago

A liquid phase chemical reaction (A → B) takes place in a well-stirred tank. The concentration of compound A in the feed is CA0

SCORPION-xisa [38]

Answer:

EH buddy use a sparkplug use a drill through a hose im from da bronx

Explanation:

4 0

3 years ago

Choose two consumer services careers and research online to determine what kinds of professional organizations exist for these p

Tom [10]

Answer:

Market Researcher

The Marketing Research Association (MRA) is a professional organization for market researchers. It provides information to its members on how to improve marketing research for businesses and individuals. The MRA gives its members important industry news and information through their website. Their code for marketing research standards also protects members from bad actors and improves the public perception of marketing research. The association also has a full time lobbyist representing the market research industry before government officials. The MRA has various membership categories as well. The membership fee differs for each category.

Credit Analyst

A credit analyst is a person that reviews consumer or business financial profiles in order to give a loan or credit to them. When a business or individual applies for a credit card, loan, trade account, or another type of financial product whereby a company allows them the use of their money, a credit analyst’s job is to ensure that the consumer or business is willing and able to pay it back in the future. Credit analysts use tools such as credit reports, FICO scores, Dun & Bradstreet ratings, financial statement analyses, and personal references to perform their job. A credit analyst should have a bachelor’s degree with a major in business. Finance and economics majors are particularly suited to a credit analyst position. Certifications are not required, but some credit analysts pursue CPA or CFA (Certified Financial Analyst) designations.

Explanation:

5 0

3 years ago

Please define the coefficient of thermal expansion?

Vikki [24]

Answer:

The coefficient of thermal expansion tells us how much a material can expand due to heat.

Explanation:

Thermal expansion occurs when a material is subjected to heat and changes it's shape, area and volume as a result of that heat. How much that material changes is dependent on it's coefficient of thermal expansion.

Different materials have different coefficients of thermal expansion (i.e. It is a material property and differs from one material to the next). It is important to understand how materials behave when heated, especially for engineering applications when a change in dimension might pose a problem or risk (eg. building large structures).

7 0

3 years ago