math

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(1) Joe dealt 20 cards from a standard 52-card deck, and the number of red cards exceeded the number of black cards by 8. He reshuffled the cards and dealt 30 cards. This time, the number of red cards exceeded the number of black cards by 10. Determine which deal is closer to the 50/50 ratio of red/black excted of fairly dealt hands from a fair deck and why.

 

(2) In the first series of rolls of a die, the number of odd numbers exceeded the number of even numbers by 5. In the second series of rolls of the same die, the number of odd numbers exceeded the number of even numbers by 11. Which series is closer to the 50/50 ratio of odd/even expected of fairly rolled die.

 

(3) A study of 600 college students taking statistics 101 revealed that 54 studebts received the grade of A. Typically 10% of the class gets an A. The difference between this group of students and the expected value is not signifcant at the 0.05 level. What dose this mean in this case..

 

(4) Suppose you have an extremely unfair die. The probability of a 6 is 3/8, and the probability of each other number is 1/8. If you toss the die 32 times, how many twos do you expect to see?

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