Are the following statements true or false? (a) A t-distribution with 60 degrees of freedom has a

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Are the following statements true or false?
(a) A t-distribution with 60 degrees of freedom has a larger variance than a standard normal distribution.
(b) The probability that a normal random variable with mean 10 and standard deviation 2 is less than 14 is equal to the probability that a normal random variable with mean 20 and standard deviation 3 is greater than 14.
(c) P(X302 ≤ 42) ≥ 0.90
(d) P(-2 ≤ t9 ≤ 2) ≤ 0.95
(e) P(F10,15 ≥ 6.5) ≤ 0.01
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