Determine if the following could be a probability distribution for a discrete random variable, x. if no, state why. x 20 30 40 50 p(x=x) 1.1 0.6 .2 .1 yes, the probabilities are all positive. no, while the probabilities are all positive, the p(x=20)=1.1. probabilities cannot exceed 1. no, the values of x are too far apart and the probabilities add up to a value greater than 1. yes, the probabilities add to 1 and they are all positive.

Step-by-step explanation:

We know that the probability p of a given event is 0 ≤ p ≤1. This means that given an event, its probability should be between zero and one.

In this problem we see that P(X=20) = 1.1 which is greater than one. Therefore, this cannot be a probability distribution given that this particular case exceeds the value of 1.

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2