The number of visitors to an Internet website in a day follows a Poisson distribution. On

average there are 30 visitors in a given day. 

Use the normal approximation to the

Poisson distribution to find the probability of the website receiving between 25 and 32

visitors inclusive in a given day. 

Apply a continuity correction and present you result with 3 decimal places. 

In a 10 years period the number of earthquakes registering at least 2.5 on the Richter Scale and having an epicenter within 40 miles of a city center follows a Poisson distribution with mean 20.  Use the normal approximation to the Poisson distribution to compute  the probability that at least 23 such earthquakes will strike next decade. This probability is: 

 (Hint: You should correct for continuity).

Which correlation coefficient best matches the scatterplot shown below?

The cumulative probability function of the daily number of customers visiting a retail store during a specific time slot () is given in the table below.

The expected value and variance of the daily number of costumers visiting the store are, respectively,

Which correlation coefficient best matches the scatterplot shown below?

A portfolio is invested in stocks Alpha and Beta with 30% of the portfolio invested in Alpha. The exhibit below illustrates the covariance matrix and expected returns with respect to the portfolio.

The correlation coefficient (r) between alpha and beta is closest to:

Consider the figure below. It shows three cumulative distributions functions for the exponential distribution with various parameters:

Identify the color of these distributions.