Statistics and Probability Answers

The numbers of workers of a new fast-food restaurant with 7 outlets are 8, 9, 8, 10, 12, 11, and 7. compute the following: Population mean: Population variance population standard deviation

Find the mean, variance and standard deviation of the following measures: 2,5,6,3,9,10,12, and 15

What is the probability that a market inspector will discover, at most, three violations of the public health code? (Round off your answer in the nearest hundredths if possible)

A meeting of envoys was attended by 4 Koreans and 2 Filipinos. If two envoys were

selected at random one after the other, determine the values of the random variable K

representing the number of Koreans. Construct the probability histogram.

A questionnaire asks shareholders of a company to state whether they consider the chairman’s salary to be too high, about right, or too low. Excluding shareholders who have no opinion, the probabilities of answers from randomly selected shareholders are as follows:</span><span lang="EN-US"><o:p></o:p></span>

Too High       0.80

About Right   0.25

Too Low         0.05

           What are the probabilities that if three shareholders are selected at random,

a.      They will all answer, ‘too high’?

b.     Exactly two will answer ‘too low’?

c.      Exactly two will give the same answer?

In a certain Algebra 2 class of 27 students, 11 of them play basketball and 13 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

. (a) How many different positive three-digit whole numbers can be formed from

the four digits 2, 6, 7, and 9 if any digit can be repeated?

(b) How many different positive whole numbers less than 1000 can be formed

from 2, 6, 7, 9 if any digit can be repeated?

(c) How many numbers in part (b) are less than 680 (i.e. up to 679)?

(d) What is the probability that a positive whole number less than 1000, chosen

at random from 2, 6, 7, 9 and allowing any digit to be repeated, will be less

than 680?

7. Answer question 7 again for the case where the digits 2, 6, 7, 9 can not be repeated

Academicians was surveyed of their loyalty to the university. They're asked “If given an offer by other university equivalent or slightly better than present position, would you remain or not?Table 4 represents the responses of the 200 academicians which were cross-classified with their length of service. 

Table 4: Loyalty of Academicians & Length of Service.

Length of Service Total

Loyalty Less than1 yr, 1-5 yr, 6-10 yr, More than 10 yr

Remain 10 30 5 75 120

Not remain 25 15 10 30 80  

a)represent the information in Table 4 as a tree diagram.             

b)What's the probability of randomly who is loyal and who has more than 10 yr service?

c)What's the probability of who would not remain and has less than 1-yr of service?

d)What's the probability of who would remain, given that he or she has 1-5 yr of service?

e)What's the probability of who would not remain, given that he or she 6-10 yr of service?

A statistics course has seven male and three female students. The professor wants to select two students at random to help her conduct a research project. What is the probability that the two students chosen are female?

Heights of the students in a class are given in the distribution below:

5' - 5'2"      10

5'2" - 5'4" 40

5'4" - 5'6"   25 .

Find:

1. Central Tendency