QUESTION Smaller values of the standard deviation result in a normal curve that

Question

QUESTION Smaller values of the standard deviation result in a normal curve that is O a wider and flatter O b shifted to the left O narrower and more peaked O d shited to the right QUESTION 10 The ages of students at a university are normally distributed with a mean of 20.5. What percentage of the studeat body is at least 20.5 years ol a 1.96% O b 20.5 50% Od It could be any value, depending on the magsitade of the standard deviation QUE STION 11 2 ias a standard nomal random ranable. The P-1.95 s 2 s 095) equals 80.0255 b 01455 O 0.1635 Type here to search 4 5 6 8

Explanation / Answer

Question 9

Solution:

option C. narrower and more peaked

Explanation:

Smaller values of the standard deviation result in a normal curve that is narrower and more peaked.

Question 10

Solution:

option d. It could be any value, depending on the magnitude of the standard deviation

Explanation:

We have to find P(X 21) but here in the problem we have mean = 20.5 only

there standard deviation is not given so, It could be any value, that is depending on the magnitude of the standard deviation

Question 11:

Z is a standard normal random variable. The P(-1.95 Z -0.95) equals

option b. 0.1455

Solution:

P (1.95<Z<0.95 ) = P ( Z < 0.95 )P (Z < 1.95)

= 1P ( Z < 0.95 )+ 1P ( Z<1.95 )

= 10.8289 + 10.9744

= 0.1711+ 0.0256 = 0.1455

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