# Question: A certain kind of appliance requires repairs on the average

A certain kind of appliance requires repairs on the average once every 2 years. Assuming that the times between repairs are exponentially distributed, what is the probability that such an appliance will work at least 3 years without requiring repairs?

## Answer to relevant Questions

If the annual proportion of new restaurants that fail in a given city may be looked upon as a random variable having a beta distribution with α = 1 and β = 4, find (a) The mean of this distribution, that is, the annual ...Find z if the standard- normal-curve area (a) Between 0 and z is 0.4726; (b) To the left of z is 0.9868; (c) To the right of z is 0.1314; (d) Between – z and z is 0.8502. In a photographic process, the developing time of prints may be looked upon as a random variable having the normal distribution with µ = 15.40 seconds and σ = 0.48 second. Find the probabilities that the time it takes to ...If the probability is 0.20 that a certain bank will refuse a loan application, use the normal approximation to determine (to three decimals) the probability that the bank will refuse at most 40 of 225 loan applications. Use the transformation-of-variable technique to prove Theorem 6.7 on page 188. Theorem 6.7 If X has a normal distribution with the mean µ and the standard deviation s, then Z = X – µ / σ Has the standard normal ...Post your question