An association is to enlist two new laborers. They have masterminded a last overview of eight candidates, all

of whom are comparably qualified. Of these eight contenders, five are women. Expect to be the

association decides to pick two individuals discretionarily from these eight candidates.

a. What is the probability that:

I. Both contender picked are women?

ii. In any occasion one contender picked is a woman?

iii. Second candidate is a woman.

iv. First up-and-comer is a woman permitted that the ensuing candidate is a woman.

b. Permit X to imply the amount of women in this model.

I. Make the probability transport out of X.

ii. Find the standard deviation of X.

An ACME Bearings director needs to consider the typical metal roller sizes from two exceptional machines. She theorizes the mean broadness for direction from machine 2 outperforms that of heading from machine 1. She takes two free, discretionary instances of size 50, one from each machine. The mean and standard deviation obviously taken from machine 1 are 3.302 mm and 0.051 mm. The mean and standard deviation of direction taken from machine 2 are 3.355 mm and 0.050 mm. Run a hypothesis test unsurprising with her questions, make a 98% t-stretch for the differentiation between the veritable strategies. In doing all things considered, make sure to

a. check all fundamental doubts for making the t-range;

i19i

b. figure the range endpoints;

c. translate the stretch in a complete sentence.

An examination was coordinated to choose if there were enormous differentiations between clinical understudies yielded through exceptional undertakings, (for instance, upkeep help and guaranteed position projects) and clinical understudies surrendered through the standard assertions rules. It was found that the graduation rate was 92.3% for the clinical understudies yielded through uncommon tasks.

a. In case 12 of the understudies from the outstanding tasks are discretionarily picked, find the probability that definitely 9 of them graduated.

prob =

b. In case 12 of the understudies from the unprecedented ventures are discretionarily picked, find the probability that at for the most part 9 of them graduated.

prob =

The mean cost of local airfares in the United States rose to a record-breaking high of $380 per ticket. Airfares relied upon the outright ticket regard, which involved the expense charged by the transporters notwithstanding any additional costs and costs. Expect local airfares are normally appropriated with a standard deviation of $100.

a. What is the probability that a local airfare is $545 or more (to 4 decimals)?

b. What is the probability that a local airfare is $265 or less (to 4 decimals)?

c. Envision a situation wherein the probability that a local airfare is some place in the scope of $300 and $490 (to 4 decimals).

d. What is the cost for the 3% most important local airfares? (acclimated to nearest dollar

A French nobleman Chevalier de Mere [li'th century} was a hard gambler. He betted on everrts that may occur in casts of a die. His calculations convinced him that the probability of each of these events exceeds [1.5, and hence he will win more often than his opponent. But, in fact, he miscalculated some oftheses probabilities, and he lost his money on some of the bets he proposed to his adversaries. In his numerous \"trials\" {bets}, de Mere found out that the probabilities he had calculated differ considerably from the relative frequencies of occurrences of the events and this should not happen according to the LLN. In his letters to some ofthe foundators of Probability Theory he claimed that theirtheory is false. The scientists explained his mistakes. De Me re's letters contained some false, but seemingly correct, statements about probabilities; these statemerrts were called the 'de Mere paradoxes\". De Mere lost a lot of money in his "experiments\"; he was far from being a scientist but his name is written in the history of Probability Theoryr because of his paradoxes. Elielow are two ofthe everrts de Mere has considered. 1] A ="at least one \"5" will occur in four rolls of a die". 1I.I'l.lhat is PHI? 2] B: 'at least one pair of \"6's will occur in 24 rolls of two dies\". What is FIB}? Note: De Mere thought that PHI = F'I[B] but, in fact, PIA] '31,?2 while PIES} sill? {he had even some \"proof\" of this statement}. He used to win when he bet on the event A, but then he started to bet on the event B and lost a lot of money. Discuss three organizational behaviortheoretical concept in terms of your life and experience. You need to provide observation of your experiences and behavior and also to analyze these behavior 1with the help of this theories. 1. Contigehcy Theory 2. Herzberg's Motivation Hygiene Theory 3. Maslovlr hierarchy of need theory Answer should consist of describing the theory you are using, describing the event that happened to you, explaining how the theory applied to the event, and giving appropriate introductions, transitions and conclusions. the two clice were rolled 1000 times. \"Sum of the Two Dice.\" Evaluate the frequency] the experimental probability and the theoretical probability of each event. Event Frequency Experimental Thearical probability probability Sum= Compare the experimental vs. the theoretical probabilities for each event. What 1values did you get in the TOTAL row? Is this Surprising? Explain why you think it is surprising or not. Experimentally, which event[s]l isfare the most probable event[s}? Why? Experimentally, which event[s]I isfare the least probable eventEs}? Why? Theoretically, which eventl[s;lI isi'are the most probable event{s]l? Why? Theoretically, which eventls} isfare the least probable eventls]? Why