Math Answers

In the numbers {1,3,5,7,9} construct the following:

• List of possible sample size of 3 that can be taken from this sets of numbers.

• Sampling distribution of the sample means fornthe size of 3 and the standard error.

Consider the set of even single-digit number {0,2,4,6,8}. Construct the sampling distribution of the sample means for the size of 3 and the standard error.

Two of the five (5) foreign automobiles from an overseas shipment have slight paint blemishes. If an agency receives three (3) of these automobiles at random, list the elements of the sample space 𝑆 using the letters B and N for “blemished” and “non-blemished”, respectively. For each sample point, assign a value 𝑥 of the random variable 𝑋 representing the number of automobiles purchased by the agency with paint blemishes. Hint: There are eight (8) elements in the sample space. 

Write applications of Differential Equation in Physics

A couple of FEB’s 3rd year students decided to make some money by offering tutorial class to their juniors in first and second year. The seniors rented a room for RM300 for 3 hours from the faculty, and developed tutorial module for a few courses. The cost of printing the module handouts is RM5 each, and the tutor is paid RM25 per hour, for a total of RM75 for each tutorial session.

a. If students (junior) are charged RM20 per pax to attend the tutorial session, how many of them must enroll for the 3rd year students to break even?

b. If students (junior) are charged RM17 per pax to attend the tutorial session, how many of them must enroll for the 3rd year students to not having a loss?

c. A smaller room is available at the faculty for RM200 for 3 hours. The 3rd year students are considering this possibility. How would this affect the break even point? Use RM20 per pax as tutorial fee.

Find the volume generated if the region enclosed by y = x² and the line y = 2x is revolve about the x-axis. Answer in 2 decimal places.

Consider the composition of a 3-child family in which the children were born at different times but a girl is as likely as a boy at each birth. What is the probability that the oldest child and the youngest child are of the same gender

There are 250 dogs at a dog show that weigh an average of 12 pounds,with a standard deviation of 8 pounds.if 4 dogs are chosen at random what is the probability that the average weight is greater than 8 pounds?

Consider the composition of a 3-child family in which the children were born at different times but a girl is as likely as a boy at each birth. What is the probability that the oldest child and the youngest child are of the same gender?