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True or False? All of the questions are true or false. 1. if Z is a...

True or False? All of the questions are true or false.

1. if Z is a random variable from a standard normal distribution and if P(Z > c) = 0.25, then P(Z < -c) = 0.25

2. Assume Z is a random variable with a standard normal distribution and b is a positive number. If P ( Z > b )=0.15 then P( − b < Z < b)=0.7

3. If X represents a random variable coming from a normal distribution and P (X < 5.4) = 0.36, then P (X > 5.4) = 0.64.

4. If X represents a random variable coming from a normal distribution with mean 3 and if P ( X > 5) = 0.34, then P ( 3 < X < 5) = 0.16

5. If a distribution is normal with mean 8 and standard deviation 4, then the median is also 8.

6. If Z is a random variable from a standard normal distribution and if P ( Z < a )= 0.77, then P ( Z < -a) = 0.23.

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