Calculate the probabiility of drawing one score
A set of test scores is normally distributed with a mean of 100 and a standard deviation of 15. If cases are drawn randomly from this distribution, calculate the probabiility of drawing one score between 94 and 106.
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Consider a random sample of size n from a Bernoulli distribution, Xi ~ BIN(1,p). For a uniform prior density, p ~ UNIF(0,1), and squared error loss, find the following:
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If the diffusion coefficient for Al in steel is 7.2x10-9 cm2/sec at the hot dipping temperature, determine the time required to achieve the required concentration at the required location below the surface of steel.
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Find out at what depth a concentration of 1.0% carbon would be present after this diffusion process? D for diffusion at this temperature in steel is 5.9 x 10 -12 m2/s.
A quiz cosists of 20 multiple-choice questions, each with 4 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 70 %.
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