5. a. Determine the probability distribution for the results of flipping four coins and counting the number of heads revealed. Solution: Heads Probability 0 0.0625 0.25 2 0.375 3 0.25 4 0.0625 b. Create a probability histogram for the probability distribution. Solution: Number of Flipped Heads 0.4000 0.3500 0.3000 0.2500 Probability 0.2000 0.1500 0.1000 0.0500 0.0000 2 3 4 5 number of Heads MS Excel Solution (data 03.xIs) c. Determine the expected number of heads flipped. Solution: 0 ( T6 ) + 1 ( 76 ) + 2 ( 78 ) + 3 ( 76 ) + 4 ( 76 ) = 0+ 4 12 12 4 16 16 16 16 32 =- 16 = 2