Q:Show that the failure-rate function is given by if and only if the time to failure distribution is the Weibull distribution0. " alt="Show that theQ:According to a study published by a group of sociologists at the University of Massachusetts, approximately 49% of the Valium users in the state ofQ:The exponential distribution is frequently applied to the waiting times between successes in a Poisson process. If the number of calls received perQ:When a is a positive integer n, the gamma distribution is also known as the Erlang distribution. Setting a = n in the gamma distribution on page 195,Q:A manufacturer of a certain type of large machine wishes to buy rivets from one of two manufacturers. It is important that the breaking strength ofQ:According to a recent census, almost 65% of all households in the United States were composed of only one or two persons. Assuming that thisQ:The life of a certain type of device has an advertised failure rate of 0.01 per hour. The failure rate is constant and the exponential distributionQ:In a chemical processing plant it is important that the yield of a certain type of batch product stay above 80%. If it stays below 80% for anQ:Consider an electrical component failure rate of once every 5 hours. It is important to consider the time that it takes for 2 components to fail.(a)Q:The elongation of a steel bar under a particular load has been established to be normally distributed with a mean of 0.0