random sample of eleven children selected from this school who do not have cavities. The mean, variance, and the standard deviation of the probability distribution of X are, respectively, (Choose one from the following which is closest to the correct answer) O e. 6.0, 2.4, 1.5. O c. 7.5, 2.4, 1.5. O a. 7.5, 3.5, 1.5. O d. 3.5, 2.4, 1.5. O b. 7.5, 2.4, 5.7.

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Sixty-eight percent of children in a school do not have cavities. Let X be the number of children in a
random sample of eleven children selected from this school who do not have cavities. The mean,
variance, and the standard deviation of the probability distribution of X are, respectively, (Choose
one from the following which is closest to the correct answer)
O e. 6.0, 2.4, 1.5.
O c. 7.5, 2.4, 1.5.
O a. 7.5, 3.5, 1.5.
d. 3.5, 2.4, 1.5.
O b. 7.5, 2.4, 5.7.
Transcribed Image Text:Sixty-eight percent of children in a school do not have cavities. Let X be the number of children in a random sample of eleven children selected from this school who do not have cavities. The mean, variance, and the standard deviation of the probability distribution of X are, respectively, (Choose one from the following which is closest to the correct answer) O e. 6.0, 2.4, 1.5. O c. 7.5, 2.4, 1.5. O a. 7.5, 3.5, 1.5. d. 3.5, 2.4, 1.5. O b. 7.5, 2.4, 5.7.
Expert Solution
Step 1: Given Information:

It is given that the number of observations are independent with the probability of success p = 68% = 0.68 and fixed sample size n = 11. So, we should use Binomial distribution.

X ~ Bin( n = 11, p = 0.68 )

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