Which of the following about the normál distribütiói iš not coff None of the suggested answers are correct. B For normally distributed random variable X, P(- 2.5

MATLAB: An Introduction with Applications
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Q5 Please provide justified answer for each
Which of the following about the normal distribution is not correct?
A
None of the suggested answers are correct.
For normally distributed random variable X, P(- 2.5 < Xs2.5) = P(X < 2.5) – P(X s-2.5).
All symmetric distributions can be assumed normally distributed.
In a standard normal distribution, the probability that Z is zero is zero.
The probability that a standard normal random variable is between 1.50 and 2.10 is the same as the probability that it is between -2.10 and -1.50
Consider two events A and B. Which of the following statements is true?
A
If the probability of A given Bis 0.4 and the probability of A is 0.4, then events A and Bare statistically independent.
B
If the probability of A given Bis 0.6 and the probability of Bis 0.4, then the probability of A is 0.2.
If the probability of A given Bis 0.4 and the probability of the union of A and Bis 0.7, then the probability of A is 0.3.
If the probability of A given Bis 0.4 and the probability of Bis 0.6, then the probability of A is 0.2.
E
None of the suggested answers are correct
bmit
Transcribed Image Text:Which of the following about the normal distribution is not correct? A None of the suggested answers are correct. For normally distributed random variable X, P(- 2.5 < Xs2.5) = P(X < 2.5) – P(X s-2.5). All symmetric distributions can be assumed normally distributed. In a standard normal distribution, the probability that Z is zero is zero. The probability that a standard normal random variable is between 1.50 and 2.10 is the same as the probability that it is between -2.10 and -1.50 Consider two events A and B. Which of the following statements is true? A If the probability of A given Bis 0.4 and the probability of A is 0.4, then events A and Bare statistically independent. B If the probability of A given Bis 0.6 and the probability of Bis 0.4, then the probability of A is 0.2. If the probability of A given Bis 0.4 and the probability of the union of A and Bis 0.7, then the probability of A is 0.3. If the probability of A given Bis 0.4 and the probability of Bis 0.6, then the probability of A is 0.2. E None of the suggested answers are correct bmit
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