Math Answers

20% of items produced from a factory are defective. What is the probability that in a sample of 5 chosen at random, none is defective, one is defective and p (1<x<4)?

The given data represents the Sales of Companies (Sales ($000)), Advertisement Cost(Ads

($000)) and Employee number (Number of Employess) of 20 U.S. companies.

a. Construct a Cumulative Frequency Distribution Table of the Sales of the Companies.

b. Construct an Ogive of the variable Advertisement Cost.

c. Construct a Histogram of the variable Emplyee Number.

d. Assess the relationship between Sales of Companies and Employee number of the U.S. companies.

Hemoglobin (g percent) values were recorded for a sample of 20 children who were part

of a study of acute leukemia. The variance of the observations was 5. Do these data

provide sufficient evidence to indicate that the population variance is greater than 4?

α=5

The manufacturer of a certain kind of light bulb claims that the lifetime of the bulb in hours, X can be modeled as a random quantity with PDF.

fX(x)=0,c/x^2

x< 100

x> 100, where e is a constant. i. What value must e take in order for this to define a valid PDF? ii. What is the probability that the bulb lasts no longer than 150 hours? ii. Given that a bulb lasts longer than 150 hours, what is the probability that it lasts longer than 200 hours? Evaluate the cumulative distribution function.

Paul wants to investigate how much time his students spend on the internet.

He gives each of them a questionnaire.

Which of these is the most appropriate question?

Explain your choice in the comment box.

A lump sum of money is invested at a rate of 10% per annum compounded quarterly. How 

long will it take for the investment to triple?

Two buildings are 20 m apart. The angle from the top of the shorter building to

the top of the taller building is 20°. The angle from the top of the shorter building

to the base of the taller building is 45°. What is the height of the taller building?

Make sure to include a diagram and concluding sentence.

Elon Musk is watching his SpaceX shuttle launch. Calculate the angle of

elevation of the SpaceX shuttle, from his position located 8 km away, when the

shuttle reaches a height of 3500 m. Make sure to include a diagram and

concluding sentence.

A doctors office provides water coolers with cone- shaped paper cups. A cup has a diameter of 2.5 in., and the distance from the tip of the cone to the lip is 4in. What is the height of the cup? What is the volume of the cup? Round you answers to the nearest tenth.

Using the number 1,2,3,4,5 and 6 as the element of the populations

A.construct the sampling distribution of the sample mean and the probability histogram