# Question

(a) Use a computer program to find the probability that a random variable having the normal distribution with mean 5.853 and the standard deviation 1.361 will assume a value greater than 8.625.

(b) Interpolate in Table III to find this probability and compare your result with the more exact value found in part (a).

(b) Interpolate in Table III to find this probability and compare your result with the more exact value found in part (a).

## Answer to relevant Questions

Use integration by parts to show that Γ(α) = (α – 1) ∙ (α – 1) for Γα > 1. Check in each case whether the normal approximation to the binomial distribution may be used according to the rule of thumb on page 192. (a) n = 16 and . = 0.20; (b) n = 65 and . = 0.10; (c) n = 120 and . = 0.98. To illustrate the law of large numbers (see also Exercise 5.54 on page 172), use the normal approximation to the binomial distribution to determine the probabilities that the proportion of heads will be anywhere from 0.49 to ...Use the transformation technique to rework Exercise 7.2. In exercise If the probability density of X is given by And Y = X2 With reference to Exercise 7.22, find In exercise If the joint probability distribution of X1 and X2 is given by f(x1, x2) = x1x2 / 36 (a) The joint distribution of Y1 = X1 + X2 and Y2 = X1 – X2; (b) The marginal ...Post your question

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