Question 1 Determine whether the following defines a valid probability mass function. Also choose the options which describe the function. a) Does the following define a valid probability mass function? P(X=x)=3x−196,x∈S={3,7,9,14} Gap 0 Answer for part Gap 0 Yes, it is a probability mass functionNo, it is not a probability mass function Expected answer: Yes, it is a probability mass functionNo, it is not a probability mass function Save answer Score: 0/1 Feedback for a). Show feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. Or, you could: ⤺ Go back to the previous part There's nothing more to do from here.b) Tick all boxes which describe this function: Gap 0 Answer for part Gap 0 Probabilities sum to 1Probabilities do not sum to 1All probabilities are non-negativeThere is a negative probability Expected answer: Probabilities sum to 1Probabilities do not sum to 1All probabilities are non-negativeThere is a negative probability Note that if you choose an incorrect option then you will lose 2 marks. The minimum number of marks you can obtain is 0. Save answer Score: 0/2 Feedback for b). Show feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. Or, you could: ⤺ Go back to the previous part There's nothing more to do from here. Advice A probability mass function f(x)=P(X=x) has to satisfy: 1. f(x)≥0, ∀x∈S 2. ∑x∈Sf(x)=1 To verify this we calculate the function as follows: P(X=3)=3×3−196=896P(X=7)=3×7−196=2096P(X=9)=3×9−196=2696P(X=14)=3×14−196=4196 and ∑x∈Sf(x)=28+26+4196=9596=9596 In this case, this is not a probability mass function as the probabilities do not sum to 1. Score: 0/3 Total 0/3 Move to the next questionTry another question like this oneReveal answers