Ax) = (1/10) e-X/10 x2 0 2. Refer to Exhibit 6-7. The mean of x is . O 1000 O.10 100 10

Suppose X - N (8, 2). Between what a values does 68.22% of the data lie? The range of x values is centered at the mean of the distribution (i.e., 8). Enter your answers in increasing order, to the nearest integer. 68.22% of the data lie between Number and Number

A light fixture contains five lightbulbs. The lifetime of each bulb is exponentially distributed with mean 199.0 hours. Whenever a bulb burns out, it is replaced. Let T be the time of the first bulb replacement. Let X1, i = 1, . . . , 5, be the lifetimes of the five bulbs. Assume the lifetimes of the bulbs are independent.   1. Find P( X1 > 100). (Round the final answer to four decimal places.) 2. Find P( X1 > 100 and   X2 > 100 and • • • and   X5 > 100). (Round the final answer to four decimal places.) 3. Find P(T ≤ 100). (Round the final answer to four decimal places.) 4. Let t be any positive number. Find P(T ≤ t), which is the cumulative distribution function of T. 5. Find the mean of T. (Round the final answer to two decimal places.)

Miswrote P(x) 0.041 for 0.141, which changes the mean to 1.5.