A company publishes statistics concerning car quality. The initial quality score measures the number of problems per new car sold. For one​ year, Car A had .79 problems per car and car B had .26 problems per car. Let the random variable X be equal to the number of problems with a newly purchased model A car. Complete​ (a) through​ (c) below

If you purchased a model A​ car, what is the probability that the new car will have zero​ problems?

If you purchased a model A​ car, what is the probability that the new car will have two or fewer​ problems?

Compare your answers in​ (a) and​ (b) to those for car B.

Because Car B has a (Higher/lower) mean rate of problems per car than Car​ A, the probability of a randomly selected Car B having zero problems and the probability of no more than two problems are both (higher/lower) than for Car A.

Problem 1: Digital Transmission Over Noisy Channels.

Consider transmitting a two digit message over a noisy channel having error probability P(E) = 1/5 per digit. Let X be the random variable that represents the number of possible errors.

(1a). What is the probability that no (zero) error occurs?

(1b). What is the probability that one error occurs?

(1c). What is the probability that more than one error occurs?

(1d). Write the expression for the p.d.f. pX(x) and plot it.

(1e). Write the expression for the c.d.f. FX(x) and plot it.

Let Y be the random variable that represents the number of possible correct digit transmissions.

(1f) Give the expression for random variable Y as a function of random variable X.

(1g). Using the formula for finding p.d.f. of a function (transformation) of random variable and using the p.d.f. of X, write the expression for the p.d.f. pY (y) and plot it.

(1h) Write the expression for the c.d.f. FY (y) and plot it.

In a super fast photonic switch that you are designing, each incoming photon is directed to output port ”A” with probability p, and to output port B with probability 1 − p, independently. Let R be the total number of photons going to port A and let G be the number of items going to port B in a certain amount of time, during which n photons pass through the switch.

(a) Determine the PMF, expected value, and variance of the random variable R.

(b) Evaluate P(A), the probability that the first photon ends up being the only one sent to its port.

(c) Find P(B), the probability that at least one port ends up receiving exactly one photon in this time interval.

(d) Evaluate the expectation and variance for the difference, D = R − G.

(e) Assume n ≥ 2. Given that both of the first two input photons go to port A, find the conditional expectation, variance and PMF of R.

Create a procedure to find out information about the most premium customer whose number of items sold is the max using mysql server.

-here are some hints In Sale table, find out the highest number of items sold by a seller. Then in customer table, find the customer.

The tables are as follows

Customer (CID, F_name, m_name, l_name, type, street, city, state, zip, password, email)

Item (ITEMNum, name, description, asking_price, notification_price, status, expiration_date, posting_date, condition, type, picture, order_point, qty_onhold, CID)

Bid (ID, price, time, CID, ITEMNum)

Sale (ID, sale_date, win_price, seller_approval, buyer_acceptance, completion_date, ITEMNum, BID, shippingticket)

The melting temperature for phospholipid membranes is strongly impacted by fatty acid composition and cholesterol contain. You have 3 different membranes. Membrane 1 is formed by phosphoglycerides with 2 chains of behenate

membrane 2 is formed by phosphoglycerides with 2 chains of stearate and membrane 3 is formed by phosphoglycerided with 2 chains of myristate. The structural properties of fatty acids are summarized in Table below. Which membrane (1, 2 or 3) has the lowest melting temperature and which membrane has the highest melting temperature. Explain your reasoning.

4. We would prefer to estimate the number of books in a college library without counting them. Data are collected from colleges across Books (in millions)

Using Stepwise regression, show how each of the three factors affects the number of volumes in a college library.

Consider three different processors P1, P2, and P3 executing the same instruction set.

P1 has a 3 GHz clock rate and a CPI of 1.5.

P2 has a 2.5 GHz clock rate and a CPI of 1.0.

P3 has a 4.0 GHz clock rate and has a CPI of 2.2.

a. Which processor has the highest performance expressed in instructions per second?

b. If the processors each execute a program in 10 seconds, find the number of cycles and the number of instructions.

c. We are trying to reduce the execution time by 30%, but this leads to an increase of 20% in the CPI. What clock rate should we have to get this time reduction?

Use the table below to answer the following questions.

Which country had the highest level of per capita GDP in 2015?

Artinia

Plazi

Boliv

Ghala

Chi

Which country had the highest rate of growth in per capita GDP from 2010 to 2015?

Ghala

Boliv

Plazi

Artinia

Chi

Does per capita GDP in these countries appear to be converging?

Yes, the countries with the lowest levels of per capita GDP have the highest rates of growth.

Yes, the countries with the highest levels of per capita GDP have the highest rates of growth.

No, the countries with the highest levels of per capita GDP have the lowest rates of growth.

No, the countries with the lowest levels of GDP per capita have the lowest rates of growth.