2. [15 points] An engineering development laboratory conducted an experiment to investigate the life characteristics of a new solar heating panel designed to have a useful life of at least 1!] years with p = I195 (id, 95% of panels will last at least 1D years). A random sample of 21] such solar panels was selected, and the useful life of each was recorded. a. What is the probability that 13 or more will have a useful life of at least 1t} years'iII . What is the probability that at most It] will have a useful life of at least 1C! years? . What is the expected value for yr and a? . Compute the P (pr-2o 5 Y 5p+2o} . If only ll} of the 2!} solar panels have a useful life of at least 1|] years, what would you infer about the true value of p? Explain your answer. h c d e