Math Answers

Jar A contains one white and two black balls, jar B contains five white and two black balls, and jar C contains four white and two black balls. One ball is selected from each jar. What is the probability that the ball chosen from jar B will be white, given that exactly two black balls are selected?

Show your reasoning and calculations.

A game called “It Pays to Wait” is played in which you roll a single die. If you roll a six on the first try you lose. If you roll a six on the second try you win $5 and the game is over. If you roll a six on the third try you win $10 and the game is over. If you roll a six on the fourth try you win $15 and the game is over. The maximum number of rolls a player can take is four. It costs $4.00 to play the game. Determine the expected profit for the operator of this game after 200 games have been played.

A finite population consists of 5 elements. 10, 12, 14, 16, 15. Consider the sample of size 3 that can be drawn from this population.

What is N?

What is the mean of the population?

What is the variance of the population?

What is the standard deviation of the population?

How many samples can be drawn in the population?

What is the mean of the sample?

What is the variance of the sample?

What is the standard deviation of the sample?

Problem: A populatio consists of the six numbers 4,9,11,7,8 and 3. Consider the sample of size 3 that can be drawn from this population?

What is N?

How many samples can be drawn in the population?

What is the probability of getting 8.67?

The probability of getting 6.33 is?

what is EP(x)?

Question 2:

If the following frequency distribution shows the average number of students per teacher in the 50 major cities of Pakistan

Class Limits

Frequency

9-11

3

12 – 14

5

15 – 17

12

18 – 20

18

21 – 23

8

24 – 26

4

Table 1

Determine

·        Range

·        Mean

·        Median

·        Mode

·        Standard Deviation

·        Relative Dispersion

·        Variance

·        Kurtosis

1. A debt of $6479.22 is due June 1,2021.what is the value of the obligation on march 1,2016, if money is worth 2% compounded semi-annually?

the value of the obligation is $ ?

(round to the nearest cent as needed . Round all intermediate values to six decimal places as needed)

There are hundreds of apples on the trees, so you randomly choose just 83 apples and get a mean weight of 87.53 grams with a standard deviation of 6.7 grams. Assuming that the weight of the apples is normally distributed, what is the standard error of the 90% confidence interval for the mean weight of the apples.

The professional organization for private colleges and universities

professors reported that more than 17% of professors attended a

national convention in the past year. To test this claim, a researcher

surveyed 200 professors and found that 45 has attended a national

convention in the past year. At α = 0.05, test the claim that this figure

is correct using p -value method.

One of the undersecretary of the Department of Labor and

Employment (DOLE) claims that the average salary of civil engineer

is Php18,000. A sample of 19 civil engineer’s salary has a mean of

Php17,350 and a standard deviation of Php1,230. Is there enough

evidence to reject the undersecretary’s claim at α = 0.01?

Let P(x):x2/2=x

Find the following then identify their truth values.

P (1)

P (2)

∀n,P(n)

∃n,P (n)