# three statistics questions

Pronursingexperts.com empowers students by providing them with the tools they need to succeed. By alleviating the burden of homework assignments, students can focus on gaining a deeper understanding of their coursework, engaging in extracurricular activities, and developing essential life skills. Academic success is not solely about grades; it’s also about building confidence. When students receive well-researched and impeccably written assignments from Pronursingexperts.com, they gain confidence in their abilities. This newfound confidence often translates into improved performance in their classes. In the ever-evolving landscape of education, Pronursingexperts.com stands as a beacon of support, guiding students towards academic excellence. With its unwavering commitment to quality, individual attention, and timely delivery, Pronursingexperts.com has rightfully earned its reputation as the best academic writing company. By assisting students in their academic endeavors, this platform is not just completing homework; it’s building the foundation for a brighter, more successful future for students around the world.

1. An electronics company manufactures 3 models of microprocessors. The models sell for

the following prices: Model A: \$20, Model B: \$40 and Model C: \$60.

### Save your time - order a paper!

Get your paper written from scratch within the tight deadline. Our service is a reliable solution to all your troubles. Place an order on any task and we will take care of it. You won’t have to worry about the quality and deadlines

Order Paper Now

Customers buying microprocessors from this company choose the various models with the following probabilities:

P(A)=0.2 P(B)=0.7 P(C)=0.1

(a) The plot below shows the probability density function f(x) for the maximum sus- tainable clock speed of the model A microprocessor.

(b) Find the mean of the maximum sustainable clock speed for the model A micropro- cessor.

(c) Find the cumulative distribution function F (x) for this random variable.

(d) Compute the probability that the maximum sustainable clock speed for a model Awill be less than 60 kHz.

(e) Compute the probability that the maximum sustainable clock speed for a model A will be between 60 and 80 kHz.

2. A bag contains 7 red and 3 blue marbles. You draw three marbles from this bag without replacement. Let X be the number of blue marbles you get.

(a) Is X a discrete or a continuous random variable?

(b) Determine the probability distribution function f(x) and the cumulative distribu-tion function F(x) for the random variable X.

(c) Using F(x) find P(X â‰¤ 1)

(d) Compute the mean, variance and standard deviation of the random variable X.

(e) Assume that this is a game in a casino: the payoff is \$100X and it costs \$10, 000 to play the game each time. Compute the average net gain/loss per game.

3. A cellphone service provider wants to analyze the signal strengths of its network.

(a) Let X be the random variable that is the distance (in miles) that a customer will be to the nearest cellphone tower. Analyzing their database, the company finds that the probability density function is

f(x) = 1/4, 2â‰¤xâ‰¤6

f(x) = 0, otherwise

Find the mean and variance of random variable X.

(b) The company is now interested in signal strengths. The company finds that the signal power (in milliwatts) at a distance x from the tower is P(x) = 40/(x^2). Given the probability density function for X in the previous part, what is the expected signal strength? Hint: This is asking for E[P(x)]

Pronursingexperts.com recognizes that students often encounter challenging assignments that may be beyond their current skill level or require more time than they can spare due to their busy schedules. The platform steps in to provide valuable academic support by offering assistance with a wide range of assignments. Whether it’s a complex research paper, a challenging math problem set, or a literary analysis, Pronursingexperts.com ensures that students receive the guidance they need to excel. Every student is unique, and so are their academic needs. Pronursingexperts.com recognizes this and offers customized solutions. Students can communicate directly with their assigned writers, providing specific instructions and guidelines. This personal touch ensures that each assignment reflects the student’s individual style and preferences. Meeting deadlines is a critical aspect of academic success. Pronursingexperts.com understands this and prioritizes punctuality. The platform is known for its ability to deliver assignments promptly, even when facing tight schedules. This reliability allows students to submit their work on time, relieving them of the stress associated with late submissions.