use the following to answer the next 2 questions. solar-heat installations successfully reduce the utility bill 60% of the time. suppose 10 houses with solar-heat installations are selected at random and the outcome between houses is independent. suppose x is the number of houses that successfully reduced the utility bill out of the 10. 14. which discrete distribution will appropriately model x? explain. binomial 15. what is the probability that at least 9 out of 10 solar-heat installations are successful and will reduce the utility bill? a. 0.0464 b. 0.9432 c. 0.0403 d. 0.8429