# Math homework help

## deceptive statistics discussion

There are examples of deceptive statistics everywhere - visual data presentations (charts/graphs)—from magazines to newspaper articles.

Locate a particularly outrageous chart/graph and interview people in your company about the message they interpret from this example. Ask them the purpose of the statistics/research--chart/graph, the strengths and weaknesses of the chart/graph and if are they convinced or suspicious of its findings.

## A t-shirt company is planning a production run for an event where the attendance (and thus demand for t-shirts) is uncertain

A t-shirt company is planning a production run for an event where the attendance (and thus demand for t-shirts) is uncertain. The event planners have indicated that they think the attendance will be 500, 750 or 1000, with probabilities of 30%, 50% and 20% respectively. The company must pre-order the blank t-shirts (cost=$5 per shirt) and it can sell finished shirts for $12 apiece. Any finished shirts that cannot be sold at the event can be sold for $2 apiece to a used clothing vendor.

## Let f be a multivariable function defined by f(x, y) = x^3y – x^2y^2 where x and y are real numbers.

Let f be a multivariable function defined by f(x, y) = x^3y – x^2y^2 where x and y are real numbers. Choose the same point to use as you work to complete parts A through D of the task.

Requirements:

A. Explain how to find the direction of maximum increase for f at your chosen point, showing all required work.

B. Explain how to find the direction of maximum decrease for f at your chosen point, showing all required work.

C. Explain how to find the equation of the tangent plane to f at your chosen point, showing all required work.

## 1. The waiting time T between successive occurrences of an event E in a discrete-time renewal process has the probability distribution

1. The waiting time T between successive occurrences of an event E in a discrete-time renewal process has the probability distribution

P(T =1) = 0.7, P(T = 2) = 0.3.

(iii) If an observer arrives after the renewal process has been running for a long time, what is the approximate probability that an event occurs at the next time point?

2. The waiting time T between successive occurrences of an event E in a discrete-time renewal process has the probability distribution

P(T =1) = 0.7, P(T = 2) = 0.3.