Abby, Deborah, Mei-Ling, Sam and Roberto work in a firm\'s public relations offi

Question

Abby, Deborah, Mei-Ling, Sam and Roberto work in a firm's public relations office. Their employer must choose two of them to attend a Conference in Paris. To avoid unfairness, the choice will be made by drawing two names from a hat. (This is a simple Random sample of size 2) In order to find the sample space you should write down all possible choices of two of the five members. a. How many pairs are there in the Sample Space? Write the sample space. b. the random drawing makes all choices equally likely. What is the probability of each choice?__ c. What is probability that Mei-Ling is chosen?__ d. What is the probability that neither of the two men (Sam Roberto) is chosen?__ Here are the distributions of blood types for a randomly chosen person in China and in the United China and in the United States. a. Choose an American and a Chinese independently of each other. What is the probability that both have type O blood?__ b. What is the probability that both have the same blood type? __ Two cards are drawn without replacement from an ordinary deck of 52 cards. Find the probability that the first card is a heart and the second card is red.__ On a typical January day in Manhattan the probability of is 10, the probability of a traffic jam is snow 80 and the probability of snow or a jam is 82. Are the events "it snows" and the event "a traffic jam occurs" independent? A local used-car dealer gets complaints about his cars as shown in the following table Find the expected number of complaints per day. You can play a game with a wheel whose rim is divided into equal sections marked with the numbers from 1 to 100. If you play, the attendant will spin the wheel and a ball will land in a random section. If the you play the game, what is the expected payoff? For a fundraiser, there is a raffle with 250 tickets. One ticket will win a $670 prize, and the other tickets will win nothing. If you have a ticket, what is the expected payoff?__

Explanation / Answer

18. Let Abby=A, Deborah=D, Mei-Ling=M,Sam=S and Roberto=R

Total possibilities will be 5C2=10

a)Sample space is : AD,AM,AS,AR,DM,DS,DR,MS,MR and SR

b) each choice can be made is 1/10 ways =0.1

c) P(M is chosen is ) =P(choosing AM)+P(choosing DM)+P(choosing MS)+P(choosing MR)=4/10=0.4

d) P(neither S nor R) =P(AD)+P(AM)+P(DM)=3/10=0.3

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