X ~ N(50, 9). Suppose that you form random samples of 25 from this distribution. Let  X  be the random variable of averages. Let ΣX be the random variable of sums.   Part (e) Sketch the graph, shade the region, label and scale the horizontal axis for  X,  and find the probability. (Round your answer to four decimal places.) P(48 < X < 54) =  Part (f) Sketch the graph, shade the region, label and scale the horizontal axis for  X,  and find the probability. (Round your answer to four decimal places.) P(13 < X < 46) =  Part (g) Give the distribution of ΣX. ΣX ~      ,

The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls. Click the icon to view the table. Use the range rule of thumb to identify a range of values that are not significant. The maximum value in this range is girls. (Round to one decimal place as needed.) - X Probability Distribution for x Number of Girls x 0 1 2 3 4 5 6 7 8 9 10 Print Get P(x) 0.002 0.013 0.044 0.115 0.208 0.234 0.201 0.115 0.043 0.019 0.006 Done k answer

A traffic safety company publishes reports about motorcycle fatalities and helmet use. In the first accompanying data table, the distribution shows the proportion of fatalities by location of injury for motorcycle accidents. The second data table shows the location of injury and fatalities for 2061 riders not wearing a helmet. Complete parts (a) and (b) below. Click the icon to view the tables. (a) Does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all riders? Use α = 0.05 level of significance. What are the null and alternative hypotheses? O A. Ho: The distribution of fatal injuries for riders not wearing a helmet follows the same distribution for all other riders. H₁: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. B. Ho: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. H₁: The…

The number of hours in a month a sample of 12 people chosen at random from a normal population work is as follows: 55,55,54,56,56,58,60,62,61,59,59,60. Can we conclude that the mean of the sample differs significantly from the assumed population average of 56 hours? Given that t11,0.05  2.201.

pls answer C

Find the mean of the distribution shown below: (X,P(X)  = (1,0.58); (3, 0.42) X 1 3 P(X) 0.58 0.42

There are 20 different pairs of shoes. Pick at random 10 shoes. Let X be the number of paired shoes, M be the number of shoes that are left-foot, N be the number of shoes that are right-foot.   (a)  Find the distribution of X. Show your problem-solving process (not just the final answer) with a few sentences of explanation and give the formula   (b)  Let Y = M – N. Give all possible values of Y. Find the distribution of Y. Show your problem-solving process (not just the final answer) with a few sentences of explanation and give the formula.   (c)  let Z = |Y|, compute E(X), Var(X), E(Z) and Var(Z). Show your problem-solving process (not just the answer), keep 2 decimal places for E(X) and E(Z), and use the approximate values for the calculations of Var(X) and Var(Z).