Math Answers

Suppose U and V are subspace of R^n. Prove that orthogonal of ( U intersection V)=orthogonal of U+ orthogonal of V

The following data represents the amount in kg of fertilizer applied to equal size of plots and the yields in kg of maize.

PLOT

AMOUNT OF FERTILIZER(X)

YIELDS(Y)

A

2

7

B

1

3

C

3

8

D

4

10

(a)   Calculate and interpret the correlation coefficient for X and Y               6 marks

(b)  Calculate and interpret the least square regression of Y on X                 8 marks

State three (3) characteristic properties of a Normal Distribution curve.

In how many ways can the letters of the word STATISTICS be arranged?

(b) If events A and B are such that they are independent, and P(A) = 0.3 with P(B) = 0.5;

i. Find P(A n B) and P(AUB)

ii. Are A and B mutually exclusive? Explain.

multiple-choice test contains 10 questions. There are four possible answers for each question. a) In how many ways can a student answer the questions on the test if the student answers every question? b) In how many ways can a student answer the questions on the test if the student can leave answers blank?

Suppose daily rental car rate for a particular model are approximately normally distributed. If 75% of rates $37 or less, and if 10% of rates are $23 or less, find the mean and standard deviation of the distribution.

x = 5410 , n=65, s=680 find 90% confidence interval for μ.

It is known that 20% of all persons given a certain sedative drug get drowsy within 2 minutes. Find the probabilities that among 14 persons given this drug.

a)   At most 2          b) at least 5    c) 2,3,4 will get very drowsy within 2 minutes.

assume that the population consists of 7 containers having the following weight 6,7,8,9,10,11,12. Find mean μ and standard deviation.