Eastern Red Cedar tolerates moist soil types with non-wet or dry conditions. It isn't suited well for very wet areas. It adapts well to neutral and acidic soils. It will thrive and overtake most other woody plants, especially if it is planted in an open area. It will grow well in open fields where the top soil has been scraped away too. Basically what I'm writing is you picked a tree which should be fairly easy to grow, but it's not a fast growing tree/shrub. IT prefers full sunlight and will grow to a maximum height from 30' to 60' depending on the conditions in it's enviroment. It is suitable for zones 4 through 9.
Now back to your question... I don't really know what the survival rate for bare root Eastern Red Cedar is, but I'd say if you take care to plant them properly and not rush it (don't bend the roots when planting) and you have the time to make sure they receive water during long dry periods, you should have a rather high survival rate. I haven't planted any Eastern Red Cedar myself, but I've been considering it. My property has quit a few of them already and I like them. A lot of people don't, but I don't understand why. I think they are attractive and they make good wind breaks as well as the fact that they are excllent at providing food and cover for wildlife. Go for it. It's fun and rewarding. I'm looking forward to planting the 600 bare root seedlings I have ordered for this year. The most important thing to do to improve the survival rate is to plant them as soon as you receive them. Keep the bare roots moist until you plant them. I order my trees from one of our state nurseries and they package them in bundles of 100 seedlings with the roots covered in a moist moss or something of that nature. Just don't leave them in the sun very long while they wait for you to plant them. If it's hot out, that moisture combined with the heat of the sun can damage them... I think it may cause the roots to begin to rot... I don't remember for sure, but I know it's recommended to keep them moist and in a cool place until planting.Good luck and enjoy.