Question

(12 Points) The table shows the number of touchdowns Eric scored during his football games. 1 2 Touchdowns scored (X Number of games (0) 4 5 2 1 LE 2. A. Create a probability distribution table. Show your work Round probability to the tenths place. B. What is the probability of Eric scoring 2 touchdowns? C. what is the probability of Eric scoring more than one touchdown? D. What is the expected value of touchdowns Eric scores? show your work

Answer 1

Part a

For this case we can do the following:

x 1 2 4 5

P(x) 1/10 5/10 2/10 2/10

P(x) 0.1 0.5 0.2 0.2

Part b

For this case the answer would be 0.2

Part c

For this case the answer would be.

P(X>1)= 0.5+ 0.2+0.2= 0.9

Part d

For this case we can find the expected value with this formula:

E(x) = 1*0.1 +2*0.5 +4*0.2+ 5*0.2= 2.9

Then we can conclude that the expected number of touchdowns for this case are 2.9