Question: In a certain region, the maximum wind speed X for the month of June, for the years it's been recorded, is (approximately) normally distributed, with

In a certain region, the maximum wind speed X for the month of June, for the years it's been recorded, is (approximately) normally distributed, with the mean of 25 miles per hour (mph). The records show that X has had the values of at least 30 mph for exactly half of the years on record. Assume that the values of X are independent and identically distributed over the years, having the normal distribution (not just approximately). - a) Find the variance of X. - b) Find the probability that June maximum wind speed is more than 35 mph in a given year. - c) Find the probability that June maximum wind speed was more than 35 mph in at least two out of the last ten years, if we know that it was more than 35mph in at least one out of the last ten years year.

Please help with this stats and probability question ASAP!!

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...

Question: What as the average weekly safety inventory level of refined sugar from the beginning January 2022 to the end of July 2022? A. 512,465.9691 metric tons per week B. 316,002.1474 metric tons...

A seismic probe bores itself into the seabed, going as deep as it can before running out of fuel. This takes about five minutes. It rotates its spiral drill head at rate R(t) that follows a...

A major electronics manufacturer expects to generate additional revenue from its recently won government contract. The company forecasts that the revenue will be $190 million in the first year, but...

On February 1, Year 2, the Razorback Corporation decides to transfer its available-for-sale securities to the trading category. These securities had been purchased for $9,400 early in Year 1 and had...

What adjustments might be made to the domestic cost of capital for a foreign investment that are due to exchange rate risk and political risk?

=+4. For the data in Exercise 1, suppose the historical standard deviation had been 0.1C instead of 0.2C. How would that change your answers to the questions in Exercise 3? Section 21.3

Richardson Services Ltd. was formed on May 1, 2017. The following transactions took place during the first month. Transactions on May 1: 1. Shareholders invested 50,000 cash in exchange for ordinary...

Net Present Value, Basic Concepts For discount factors use Exhibit 12B.1. Wise Company is considering an investment that requires an outlay of $600,000 and promises an after-tax cash inflow of...

I tried x= linspace(0, 5); y= linspace(-4, 1); z= x + y - (x.^2 + y.^2); [X,Y] = meshgrid(x,y); surf(X,Y,z) when I run it, I get this error 'Z must be a matrix, not a scalar or vector.' in surf. I...

According to a recent poll, 25% of adults in a certain area have high levels of cholesterol. They report that such elevated levels "could be financially devastating to the regions healthcare system"...

The balanced scorecard provides a picture of the company from the perspective of internal and external customers, employees, and shareholders in terms of satisfaction, innovations, and profitability....

The following events occurred for Favata Company: a. Received $11,500 cash from owners and issued stock to them. b. Borrowed $8,500 cash from a bank and signed a note due later this year. c. Bought...

The head of the accounting department at a major software manufacturer has asked you to put together a pro forma statement of the company's value under several possible growth scenarios and the...

Mrs. Porter's mother is a feisty, independent 86-year-old widow by the name of Mary Brown. Mary Brown still lives in her own home, with a few hours of home support twice a week. Mary comes into the...

1. The following E-R model describes data about customers. Common data for all customers are ID, Name, Address, and Contact including Phone and Emai. Special data for online customers are LoginName...

Refrigerant R-12 at 30C, 0.75 MPa enters a steady flow device and exits at 30C, 100 kPa. Assume the process is isothermal and reversible. Find the change in availability of the refrigerant.

32. Determine the long-run proportion of time that XN(t)+1 Answered: 1 week ago

33. In Example 7.14, find the long run proportion of time that the server is busy.

31. If A(t) and Y(t) are, respectively, the age and the excess at time t of a renewal process having an interarrival distribution F, calculate P{Y(t) > x|A(t) = s}