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Probability of rolled die, blood type and Hindi speakers

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1. If two balanced die are rolled, the possible outcomes can be represented as follows:

(1,1) (2,1) (3,1) (4,1) (5,1) (6,1)
(1,2) (2,2) (3,2) (4,2) (5,2) (6,2)
(1,3) (2,3) (3,3) (4,3) (5,3) (6,3)
(1,4) (2,4) (3,4) (4,4) (5,4) (6,4)
(1,5) (2,5) (3,5) (4,5) (5,5) (6,5)
(1,6) (2,6) (3,6) (4,6) (5,6) (6,6)

Determine the probability of rolling the sum of 9 with two balanced die.

2. The blood types for 40 people who agreed to participate in a medical study were as follows:

O A A O O AB O B A O
A O A B O O O AB A A
A B O A A O O B O O
O A O O A B O O A AB

What is the frequency for the A blood type?

(B) For the situation in problem 2 above, what is the relative frequency for the O blood type?

3. In Syed's town there are 11,303 Hindi speakers. In Rajiv's town there are 19,251 Hindi speakers. In Jon's town there are 1,092 Hindi speakers. For this situation, what is the variable under consideration?

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Solution Summary

The posting answers three questions on probability of two rolled die, the frequency of blood types and Hindi speakers.

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  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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