1. Which of the following properties does not apply to atheoretical normal distr

Question

1. Which of the following properties does not apply to atheoretical normal distribution?
A. The normal distribution is bell-shaped.
B. The mean, median, and mode are equal.
C. The normal distribution is bimodal.
D. The normal distribution is symmetric.

2. The total area under the normal distribution curve isapproximately 0.98 but can never be equal to 1.0.
A.True
B. False

3. One normal curve has mean 19 and standard deviation 2, a secondnormal curve has mean 3 and standard deviation 8. The curve that ismore dispersed, or spread out, is
A. The first normal curve
B. The second normal curve
C. They are equally spread out
D. There is insufficient information to answer the question

4. If a normal distribution has mean 22 and standard deviation 4,then
A. the median is 22 and the mode is 22
B. the median is 18 and the mode is 26
C. the median is 26 and the mode is 18
D. the median is 22 and the mode is 2

5. For a normal distribution with mean 6 and standard deviation 4,the value 14 has a z value of
A. –2
B. 2
C. 3
D. 4

6. A set of ten cards consists of five red cards and five blackcards. The cards are shuffled thoroughly. One card is to beselected at random. The color will be observed and the cardreplaced in the set. The cards are then thoroughly reshuffled. Thisselection procedure is repeated four times. Let X = the number ofred cards observed in these four trials. What is the variance ofX?
A. 1
B. 2
C. 4
D. 0

7. X~B(12, 0.3). Find P(X=3)
A. 0.2397
B. 0.3488
C. 0.0712
D. 0.2032

8. X~B(12, 0.7). Find P(X=11)
A. 0.2311
B. 0.3488
C. 0.0712
D. 0.2032

9. X~B(12, 0.7). What is the chance that X=9?
A. 0.2397
B. 0.3488
C. 0.0712
D. 0.2032

Explanation / Answer

1. Which of the following properties does not apply to atheoretical normal distribution? A. The normal distribution is bell-shaped. B. The mean, median, and mode are equal. C. The normal distributionis bimodal. D. The normal distribution is symmetric. 2. The total area under the normal distribution curve isapproximately 0.98 but can never be equal to 1.0. A.True B. False 3. One normal curve has mean 19 and standard deviation 2, a secondnormal curve has mean 3 and standard deviation 8. The curve that ismore dispersed, or spread out, is A. The first normal curve B. The second normalcurve C. They are equally spread out D. There is insufficient information to answer the question 4. If a normal distribution has mean 22 and standard deviation 4,then A. the median is 22 and themode is 22 B. the median is 18 and the mode is 26 C. the median is 26 and the mode is 18 D. the median is 22 and the mode is 2 5. For a normal distribution with mean 6 and standard deviation 4,the value 14 has a z value of A. –2 B. 2 C. 3 D. 4 6. A set of ten cards consists of five red cards and five blackcards. The cards are shuffled thoroughly. One card is to beselected at random. The color will be observed and the cardreplaced in the set. The cards are then thoroughly reshuffled. Thisselection procedure is repeated four times. Let X = the number ofred cards observed in these four trials. What is the variance ofX? A. 1 B. 2 C. 4 D. 0 7. X~B(12, 0.3). Find P(X=3) A. 0.2397 B. 0.3488 C. 0.0712 D. 0.2032 8. X~B(12, 0.7). Find P(X=11) A. 0.2311 B. 0.3488 C. 0.0712 D. 0.2032 9. X~B(12, 0.7). What is the chance that X=9? A. 0.2397 B. 0.3488 C. 0.0712 D. 0.2032

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