21 Consider the following statements: iGiven that Z is a standard normal variable, its values are always between -3 and +3. 1i. Given that Z is a standard normal random variable, P(Z=1.25) = P(Z=-1.25) = 0.3944 i11 For any symmetric distribution, the mean, median, and mode will have the same value. iv.In the standard normal distribution, Zo os = 1.645 means that 5% of all values of Z are below 1.645 and 95% are al Which of the following is correct about the statements?

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Q21 Please provide justified answer
21 Consider the following statements:
i Given that Z is a standard normal variable, its values are always between -3 and +3.
i1. Given that Z is a standard normal random variable, P(Z= 1.25) = P(Z = -1.25) = 0.3944
111 For any symmetric distribution, the mean, median, and mode will have the same value.
iv.In the standard normal distribution, Zo os = 1.645 means that 5% of all values of Z are below 1.645 and 95% are above it.
Which of the following is correct about the statements?
Only (iii) and (iv) are true.
Only (i) and (ii) are true.
All are true.
All are false
E
None of the suggested answers are correct.
Transcribed Image Text:21 Consider the following statements: i Given that Z is a standard normal variable, its values are always between -3 and +3. i1. Given that Z is a standard normal random variable, P(Z= 1.25) = P(Z = -1.25) = 0.3944 111 For any symmetric distribution, the mean, median, and mode will have the same value. iv.In the standard normal distribution, Zo os = 1.645 means that 5% of all values of Z are below 1.645 and 95% are above it. Which of the following is correct about the statements? Only (iii) and (iv) are true. Only (i) and (ii) are true. All are true. All are false E None of the suggested answers are correct.
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