Question: 1) Given that X is a normal random variable with a mean u=-10 and standard deviation =2.8, what is P(X>-6.5) 2) Given that Z is

1) Given that X is a normal random variable with a mean u=-10 and standard deviation =2.8, what is P(X>-6.5)

2) Given that Z is the standard normal random variable, what is P(Z>0.74)

3) What is the mean value of a standard normal random variable Z

4)Given a symmetric bell-shaped population with MU= 70 and Sigma=12 approximately 95% of all values lie within which interval?

5) A uniformly Distributed continuous random variable is define by the density function f(x)=0.5 on the interval [0, 2] The value P(x<0.8)=?

6) A uniformly distributed continuous random variable is defined by the density function F(X)=1 on the interval [3, 4]. The value P(X < 3.3 )= ?

7) According to the Chebyshev's rule, what percentage of data lie within 3 standard deviations of the mean regardless of the shape of the relative frequency histogram?

8) A placement test of job opening has mean score of U=64 and standard deviation=5 . What is the probability a randomly selected person taking this test score higher than 7.2?

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