Math Answers

f(×)=6/ײ3×-10

a. X=-2

b. x= 0

c. x=5

(Probability Distribution)

1. If one ball each is drawn from 3 boxes, the first containing 3 red, 2 yellow, and 1 blue, the second box contains 2 red, 2 yellow, and 2 blue, and the third box with 1 red, 4 yellow, and 3 blue. What is the probability that all 3 balls drawn are different colors?
2. In a viral pool test it is known that in a group of five (5) people, exactly one (1) will test positive. If they are tested one by one in random order for confirmation, what is the probability that only two (2) tests are needed?

(Distribution Probability)

1. A small-time bingo card costs P100.00 for 5 games. The prize for the first three games is P5,000.00, the fourth is P10,000.00 and the last prize is P20,000.00. If 1,000 bingo cards are going to be sold and you could only win once, what is the expected value of a ticket?
2. You pick a card from a deck. If it is a face card, you will win P500.00. If you get an ace, you will win P1,000. If the card you picked is red you get P100.00. For any other card, you will win nothing. Find the expected value that you can possibly win. 

Find the solution set of x1+2x2-3x3+x4=0

3X1-X2+5X3-X4=0

2X1+X2+X4=0

Find the solution x1+2x2-3x3+x4=0

3x1-x2+5x-3x4=0

2x1+x2+x4=0

‘Bhartdarshan’ is an Internet-based travel agency wherein customers can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400.

a. What is the probability of getting more than 12,000 hits?

b. What is the probability of getting fewer than 9,000 hits?  

Construct a graph G with 6 vertices {v1, v2, v3, v4, v5, v6} and six edges {e1, e2, e3, e4, e5,

e6} such that

i. e2 is a loop at v2

ii. v2 and v5 are end point of e5

iii. v3 is adjacent to v2

iv. v4 is isolated

v. e3 is parallel to e5

vi. e4 is incident of v1 and v6

1. The teacher would like to find out if there is significant difference in the performance of the male and female students in 35 item test in English. He wants to consider 0.005 level of significance. The result is shown below:

MALE STUDENTS

sample size = 8

sample mean = 24.27

standard deviation = 9.36

FEMALE STUDENTS

sample size = 7

sample mean = 21.07

standard deviation = 8.25

A random sample of 25 brand A cigarettes showed an average nicotine content of 5 milligrams, while a sample of 40 brand D cigarettes showed average nicotine of 4.8 milligrams. If the standard deviation of nicotine is 1.6 milligrams, would you say that brand D has a lesser nicotine content? Use a 0.01 level of significance. Assume the distribution of nicotine content to be normal

Engineers in charge of maintaining out nuclear fleet continually check for corrosion inside the pipes that are part of cooling system. The inside condition of the popes cannot be observed directly but a non-destructive test can give an indication of possible corrosion. The test is not infallible. The test has probability of 0.7 of detecting corrosion when it is present but it also has probability of 0.2 of falsely indicating internal corrosion. Suppose the probability that any section of pipe has internal corrosion is 0.1.