Math Answers

What are the truth values of these statements?

[3 marks]

a) ∃!xP(x)→∃xP(x)

b)

∀x P(x) → ∃!xP(x)

c)

∃!x¬P(x)→¬∀xP(x)

a farmer produces seeds in pckets for sale. the provbility that seed selected at random will grow is 4/5. if 20 seeds are sown what is the probability that

(A) less than 2 will grow

(B) Less than 2 will not grow

(C) Exactly half the seed will grow

(d) exactly 2 will grow

> Find the mean of the population

> Find the mean of the sampling distribution of the

sample means

> find the Variance of the population

> find the Variance of the sampling distribution of the

sample mean

> find the Standard deviation of the population

> find the Standard deviation of the sampling

distribution of the sample mean

STUDENT

A

B

C

D

E

HEIGHT (IN CM)

120

130

110

125

159

> Find the mean of the population

> Find the mean of the sampling distribution of the

sample means

> find the Variance of the population

> find the Variance of the sampling distribution of the

sample mean

> find the Standard deviation of the population

> find the Standard deviation of the sampling

distribution of the sample mean

STUDENT HEIGHT (IN CM)

A 120

B 130

C 110

D 125

E 159

If we toss two balanced dice, and let A be the event that the sum of the face values

of two dice is 8, and B be the event that the face value of the first one is 3. Calculate

P(A/B).

500 children participated in a field demonstration. Their heights averaged is 110 cm with a standard deviation of 6 cm. What is the probability that a child, picked at random has a height greater than 120 cm?

Random sample of size N = 2 are drawn from a finite population consisting of the numbers 1, 3, 8, 9.

Find the following:

31 35. Mean, Variance and Standard deviation of the Population.

36-40. Mean, Variance and Standard deviation of the Sample means

Suppose that in a day, the probability of a car agent’'s not closing any deal is 0.35. on the other hand, the probability that he/she can close one deal is 0.3; two deals, 0.25; and three deals, 0.1. find the agent’s expected number of closed deals in a day and determine the variance and standard deviation.

Rowena wants to test a randomly selected 20 students for her study. Identify the t value of the following percentiles.

1. 75th percentile

2.90th percentile

3. 60th percentile.

4. 99th percentile

5.50th percentile

A sample of 100 Grade 9 students’ ages was obtained to estimate the mean age of all Grade 9 students. =16 years and the population variance is 16.1.) What is the point estimate for ?

2.) Find the 95% confidence interval for .

3.) Find the 99% confidence interval for .

4.) What conclusions can you make based on each estimate?