Approximate value of the range
If a given mesokurtic distribution has a mean of 100 and a standard deviation of 10, Find the approximate value of the range.
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Sometimes the geometric random variable is defined to be the number of trials, X, preceding the first success. Write down the corresponding pdf and derive the moment-generating function for X two ways-(1) by evaluating E (et X ) directly and (2) b
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This compared with 72 males in 145 "purebred" offspring of matings between members of the same species. Is the proportion of males and females different in the purebred offspring than in the hybrid offspring? Do the appropriate hypothesis test.
Determine the area under the standard normal curve that lies to the left of (a) Z=-1.03, (b) Z=-1.42, (c) Z=-0.77, and (d) Z=0.66
In the game of "craps" two dice are thrown and the outcome of a bet is based on the sum of the two dice. If you bet $1 that the sum is "seven" then you win $4 or lose your dollar. The probability that you win is 6/36=1/6, and P(loss) = 5/6. Fin
A cutting tool wears out with a time to failure that is normally distributed with a mean of 10 working days and a standard deviation of 2.5 days. Determine its design life for a reliability of 0.99
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