Explain whether the following are true or false; absent an explanation that subs

Question

Explain whether the following are true or false; absent an explanation that substantiates your true-false answer, zero points will result. N (Z_1, Z_2) notequalto N (X_1, X_2, mu sigma) where Z_1 = (X_1 - mu)/sigma If arrivals are Poisson distributed with neab lambda, that the conveys nothing the about the associated time between arrival s (the Exponential distribution's) theta As between two test scores, a student scored relatively less well with a 60 m class A with grade distribution N(50.2.5) versus a 79 in class B with grade distribution N(80.1) P(X greaterthanorequalto X_0) = bin CDF(N,p, X_0) given N trials, probability p of success, and X_0 successes Z_1 and Z_2 can be determined given solely the area under the normal curve between them. Of those we studied, no distribution provides equal probability for all unit intervals All the discrete distributions we studied entail events that are independent and probabilities that are constant It makes no sense that the Poisson distribution's mean is a non-integer since all discrete distributions entail only integral values/outcomes With a continuous distribution, the probability that x is exactly equal to xo makes sense Of those we studied, only the Normal and Uniform distributions given their symmetry, have mean, median, mode, and midquartile all being equal

Explanation / Answer

# iwill answer 5.1 question only #

5.1 FALSE

equaity holds as if X~N(mu,sigma) then z=(X-mu)/sgma ~N(0,1), it is true for single normal distribution

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