# Question

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.

(a) n = 16 and . = 0.20;

(b) n = 65 and . = 0.10;

(c) n = 120 and . = 0.98.

## Answer to relevant Questions

Suppose that we want to use the normal approximation to the binomial distribution to determine b(1;150,0.05). (a) Based on the rule of thumb on page 192, would we be justified in using the approximation? (b) Make the ...Perform a suitable change of variable to show that the integral defining the gamma function can be written as If X is the total we roll with a pair of dice, for which the probability distribution is given on page 63, find the probability distribution of the remainder we get when the values of X are divided by 3. Consider the random variable X with the probability density (a) Use the result of Example 7.2 to find the probability density of Y = | X|. (b) Find the probability density of Z = X2(=Y2). If X has the uniform density with the parameters α = 0 and β = 1, use the distribution function technique to find the probability density of the random variable Y = √X.Post your question

0