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For a new car the number of defects $X$ has the distribution given by the accompanying table Find $M_{X}(t)$ and use it to find $E(X)$ and $\operatorname{SD}(X)$ .
$$\begin{array}{ccccccc}{x} & {0} & {1} & {2} & {3} & {4} & {5} & {6} \\ \hline p(x) & {.04} & {.20} & {.34} & {.20} & {.15} & {.04} & {.03}\end{array}$$

In this problem. We want to identify whether the shapes of the distributions are going to be uniformed. You nimal little by mobile or symmetric? Um, Thea answers aren't specific because we don't actually have, Ah, an accurate representation of the data. We these are just, ah, what we perceive the data to be. So when we look at part A and we're talking with the number of goals shocked by football players during last season, uh, I would suspect that this data is going to skew to the right, which means one side is going to be, um there will be more people scoring less schools and fewer people scoring very high amount of goals. So this basically one side will be increased on the other side will be very low. Also to say, execute to the right in part B for time with weights of newborn babies over the last 10 years. Have some heavy baby is gonna have some lighter babies. But I would say most of them come out at a at a regular or normal weight. Um, so that's going to be symmetric in part C. We're talking about the number of countries visited by a student at an international school again. Some, ah, some students might not have visited any countries. Some students might have visited a lot. So this is probably going to be, ah, skewed to one side. We'll say, Skewed to the right. Just like now, the reasoning for part A and ah for question D the number of emails received by high school student at your school per week. This might very because some people are going to be more active online. Some people are less active online, so there's no no catch all answer here. We could be uni motile. It could be by model. It could be symmetric. Really. We're just saying that there's no snow definitive answer here. It could be any of the four choices that we were supposed to pick from.