Math Answers

1. a) Two IPod salesmen A and B must each make two calls per day, one in the morning and in the afternoon. A has a probability 0.4 of selling a laptop on call, while B has a probability 0.1 of a sale. A works independently of B, and for each salesman, morning and afternoon are independent of each other.

Find the probability that, in one day:

i) A sells two iPods [2 Marks]

ii) A sells just one iPod [2 Marks]

iii) B makes at least one sale [3 Marks]

iv) Between them A and B make exactly one sale. [4Marks]

How much Ione invest if she wants to have P19,640.62 at the end of 2.75 years at a bank that offers 11(1/4)% simple interest.

a)     Suppose P (x, y) denotes the equation8, what will the truth values of the Propositions P (2, 2), P (0, 4)?

The head of BPS Jakarta stated that the average consumption/capita of his regional household was USD 10,500,000 with a standard deviation of USD 2500,000. An economic research institute conducted a survey by selecting a random sample of 1000 households. The survey results show that the average consumption/capita is USD 12,000,000. Test it with an alpha of 2%, can you conclude that in fact the average consumption/capita is higher than that stated by the Head of BPS?

Bill is a zoologist who studies Anna’s hummingbirds. Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were:

3.7 2.9 3.8 4.2 4.8 3.1

Let x be a random variable representing weight of Anna’s hummingbirds in this part of Grand Canyon. Assume that it has a normal distribution and 𝜎 = 0.70 grams. It is known that for the population of all Anna’s hummingbirds, the mean is 𝜇 = 4.55. Does this sample data indicate that the mean weight of these birds in this part of Grand Canyon is less than 4.55 grams? Use 𝛼 = 0.01. 

The probability that A hits a target is 2/5 and the probability that B hits the target is 2/5. Both shoot at the target. Find the probability that at least one of them hits the target, i.e., that A or B (or both) hit the target

What is the remainder? x⁴ - 3x² + 5x is divided by 2x - 1

Find

the Curvature and

torsion of the Curves r = (u, (1 + u)/u, (1 - u ^ 2)/u)

A php 300 per share dividend was paid by a certain stock. The dividend is estimated to grow at 4.75% per year until further notice. What is the price of the stock today if the required return is 8.75%

Given that R denotes the set of all real numbers Z, the set of all integers, and Z set of all negative integers, describe each of the following: