In a large saucepan, combine the cranberries, sugar, tapioca, water and orange peel; let stand for 15 minutes. Bring to a boil, stirring occasionally. Remove from heat and stir in apples. Set saucepan in a pan of cold water for 10 minutes, stirring occasionally.
Meanwhile, line a 9-in. pie plate with bottom pastry. Pour filling into crust. Top with remaining pastry or a lattice crust. If using a full top crust, cut a few slits in it.
Beat egg white and water until foamy; brush over top pastry. Sprinkle with sugar. Bake at 375° for 45-55 minutes or until crust is golden brown and filling is bubbly. Cool completely. Yield: 8 servings..