Statistics and Probability Answers

A box contains 3 white balls and 6 black balls. Three balls are drawn by succession without replacement from the box.Let Y be the random variable representing the number of white balls.Find the values of the random variable Y

Survey tests on seIf-concept and on leadership skill were administered to student-leaders. Both tests use a 10-point Likert scale with 10 indicating the highest scores for each test. Scores for students on the tests follow:

Student | A | B | C | D | E | F | G |

Self -Concept | 7.1 | 5.6 | 6.8 | 7.8 | 8.3 | 5.4 | 6.3 |

Leader | 3.4 | 6.0 | 7.8 | 8.8 | 7.0 | 6.5 | 8.3 |

-ship Skill

1. Compute the coeficient of correlation r.

2. Interpret the results in terms of strength and direction of correlation.

3. Find the regression line that will predict the leadership skill if the self-concept score is known

A survey taken in a restaurant shows the following number of cups of coffee consumed with each meal. Construct an ungrouped frequency distribution

consider a population of this number 1, 2, 3, 4 and 5. Lists all the possible samples of size 3 from this population and compute the mean of each sample

A boy contains 4 green and 2 blue dice. Three Dice are chosen one after the other. Determine the values of the random variable G representing the number of green dice.

A population consists of the following measurement 3,8,14,17,and 58 consider all the sample of size 3 taken from this population without replacement


(1)List the sample of the mean and media respectively
(2) calculate the mean of the sample distribution of the media and the means

A population consists of the following measurement 3,8,14,17,and 58 consider all the sample of size 3 taken from this population without replacement

For two independent events A and B, if P(A) = 2.0 and P(B) = 4.0, then 

(A∩ B) =0 .6

Check either true or false with shirt proof or counter example

Six white balls and four black balls which are indistinguishable apart from color are placed in a bag. If six balls are taken from the bag, find the probability of their being three white and three black?

The following are the number of cars sold per day by ABC Motors Corporation for the past 500 working days.

a. Construct the probability distribution for the random variable S.

b. Construct the probability histogram

No. of Cars Sold Per Day (X) Frequency of Occurrence

0 40

1 100

2 142

3 66

4 36

5 30

6 26

7 20

8 16

9 14

10 8

11 2

T 500