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# Probability and normal distribution

8. 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?

9.The members of a board of directors have the following roles: president (P), vice president (V), secretary (S), treasurer (T), and fundraiser (F). Consider these board members to be a population of interest. The possible samples (without replacement) of size two that can be obtained from these five board members are as follows:

P,V P,S P,T P,F V,S V,T V,F S,T S,F T,F

If a simple random sampling method is used to obtain a sample of two of the board members, what are the chances of selecting the secretary and the treasurer?

a. 2/5

b. 1/10

c. 1/20

d. 1/5

e. None of these

10. For the given situation in problem 9 above, if a simple random sampling method is used to obtain a sample of two of the board members, what are the chances of selecting the secretary as one of the two board members chosen?

a. 2/5

b. 1/10

c. 1/20

d. 1/5

e. None of these

11. Assume that X has a normal distribution, and find the indicated probability. The mean is 22.0 and the standard deviation is 2.4. Find the probability that X is between 19.7 and 25.3.

a. 1.0847

b. 0.4107

c. 0.7477

d. 0.3370

e. None of these

#### Solution Preview

8. Number of Hindi speakers in a town

9. b
Total number of possible samples of size 2 is 10 .Out of these 10 there is 1 sample of secretary and the treasurer.Therefore the answer is 1/10

10) a
Out of the 10 ...

#### Solution Summary

To find the probability of normal variate.

\$2.19