Math Answers

A company prices its tornado insurance using the following assumptions:

• In any calendar year, there can be at most one tornado.

• In any calendar year, the probability of a tornado is 0.02.

• The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year.

Using the company's assumptions, calculate the probability that there are fewer than 3 tornadoes in a 14-year period.

The number of typographical errors per page typed by a certain typist follows a Poisson distribution with a mean of 17.

Then find the probability p that the total number of errors in one randomly selected page is 13.

Round your answers to 3 decimal places.

p =   ?

A certain kind of sheet metal has, on average, 9 defects per 14 square feet.

Assuming a Poisson distribution, find the probability that a 25 square foot metal sheet has at least 14 defects. Round your answer to four decimals.

Give an example of a 1×2 matrix

Puleng receives R1 500,00 from the bank now, that charges 10,5% simple discount per annum. She has to pay back the bank an amount of R1 893,75 in a few months' time. The number of months after which Puleng pays back the loan, rounded to one decimal place, is

Find the particular solution of ydx - 4dy = x ^ 2 dy when x = 4 and y = 1

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 74.4 Mbps. The complete list of 50 data speeds has a mean of x=18.26 Mbps and a standard deviation of s=22.09 Mbps.

a. What is the difference between​ carrier's highest data speed and the mean of all 50 data​ speeds?

b. How many standard deviations is that​ [the difference found in part​ (a)]?

c. Convert the​ carrier's highest data speed to a z score.

d. If we consider data speeds that convert to z scores between −2 and 2 to be neither significantly low nor significantly​ high, is the​ carrier's highest data speed​ significant?

the equation for a projectile height versus time is h(t)= -16^2+ Vot+ho

a tennis ball machine serves a ball vertically into the air from a height of two feet, with an initial speed of 120 feet per second . after how many seconds does the ball attain its maximum height

the angle of depression from the top of a tower to a rock on the ground is 39 degrees. If the tower is 24 m high, how far from the base of the tower is the rock?

80 score in percentage