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The faces of a biased die are numbered 1,2,3,4,5 and 6. The probabilities of throwing odd...

The faces of a biased die are numbered 1,2,3,4,5 and 6. The probabilities of throwing odd numbers are all the same. The probabilities of throwing even numbers are all the same. The probability of throwing an odd number is twice the probability of throwing an even number.

(i) Find the probability of throwing a 3.

(ii) The die is thrown 3 times. Find the probability of throwing two 5s and one 4.

(iii) The die is thrown 100 times. Use an approximation to find the probability that an even number is thrown at most 37 times.

This question is from the chapter using the normal distribution as an approximation for the binomial distribution.

Math   Statistics-And-Probability   
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