Math Answers

B. Let p and q be propositions.

p: Cristina is a computer science major.

q: Leonardo is an Information Technology major.

Express each of these proposition as an English sentence:

1. q =

2. pq =

3. pq =

4. ¬q V (¬p ^ q )=

5. p ↔q =

A. Let p and q be propositions

p: 4 is a rational number

q: 3 is an irrational number.

Express each of these propositions as an English sentence:

1. ¬p =

2. p v q =

3. p ^ q =

4. p→q =

5. p ↔q =

It is claimed that the average weight of babies at birth is 3.4 kg. The average weight of a random sample of 30 newly born babies was determined. It was found out that the average weight was 3.1 kg. Is there a reason to believe that the average weight of babies at birth is not 3.4 kg? Assume that the population standard deviation is 1.1 kg. Use 0.05 level of significance. 

Suppose a population consists of the values 6, 7, 8 and 9 and the sample size two are drawn from this population.

a. List all possible sample size two, with replacement, and compute the sample mean in each case.

b. Construct the sampling distribution of the sample mean.

c. Construct the probability histogram of the sampling distribution of the sample mean.

random variable X has this probability distribution:

x 0 1 2 3 4 5

P(X=x) 0.1 0.2 0.05 0.1 ? 0.3

Find f(4)

Calculate the surface area Integral of object obtained by rotating the function x=2y+5 for x=-1 and -2 about y axis

Sketch the graph of f: x->x+|x+2| where x€R

2. A random variable X has this probability distribution:

x 0 1 2 3 4 5

P(X=x) 0.1 ? 0.05 0.1 0.03 0.3

Find f(2)

SOLVE THE FOLLOWING:

1. A random variable X has this probability distribution:

x 0 1 2 3 4 5

P(X=x) 0.1 0.2 0.05 0.1 ? 0.3

A population consists of the values (1, 3, 4). If the samples of size 2 will be drawn from the population, find the standard deviation of the sampling distribution of the means