e percent of fat calories that a person in America consumes each day is consistently appropriated with a mean of around 36 and a standard deviation of 10. Expect that one individual is subjectively picked. Let X=X= percent of fat calories.

(a) Find the z-score identifying with 41% of fat calories, acclimated to 3 decimal spots.

(b) Find the probability that the percent of fat calories an individual consumes is more than 41.

(c) Shade the area identifying with this probability in the chart underneath. (Hint: The x-turn is the z-score. Use your z-score from segment (a), changed in accordance with one decimal spot).

(d) Find the most limit number for the lower quarter of percent of fat calories. Round your reaction to 3 decimal spots.

(e) Sketch the graph and form the probability announcement.

A typical of 1 group is transported off a laborer in 1 second. The laborer, on the other hand, uses the 5 packages that come to it.

is setting up a document. The time between groups is exhibited as an extraordinary unpredictable variable. X of the laborer

Let it be an unpredictable variable imparting the time it takes to set up a report. Passing for the status of a document

your time

a. Find the probability that it is more than 10 seconds.

b. Find the probability that it is between 5 seconds and 10 seconds.

Expect that the length of a particular sort of criminal primer is known to be ordinarily scattered with a mean of 21 days and a standard deviation of seven days.

(a) In words, describe the subjective variable X.

(b) Find the z-score for a primer suffering 18 days. (Round your reaction to three decimal spots.)

(c) If one of the primers is erratically picked, find the probability that it suffered at any rate 18 days.

(d) Shade the district identifying with this probability in the graph underneath. (Hint: The x-center is the z-score. Use your z-score from part (b), acclimated to one decimal spot).

(e) 58% of all primers of this sort are done inside how long?

Accept that the distance of fly balls hit to the outfield (in baseball) is consistently passed on with a mean of 260 feet and a standard deviation of 51 feet.

Use your outlining calculator to react to the going with requests. Make your answers in percent structure. Round your reactions to the nearest tenth of a percent.

a) If one fly ball is erratically perused this transport, what is the probability that this ball journeyed under 192 feet?

PP(fewer than 192 feet) = %

b) If one fly ball is indiscriminately perused this apportionment, what is the probability that this ball journeyed more than 234 feet?

PP(more than 234 feet) = %

1.5. The two outcomes of a binomial experiment must be mutually and completely (4) 1.6. The most passive data collection method is known (2) 1.7. The number of houses on a street is quantitative and N 1.8. In linear regression and correlation, a Pearson's correlation coefficient of -0.35 indicates a and relationship between the independent and dependant variables. (4) WESTHere is a bivariate data set. 64.1 72.8 42.6 74.3 46.6 61.8 45.7 41.3 49.6 Linear Regression and Correlation Calculator Find the correlation coefficient and report it accurate to three decimal places. What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.Linear Regression and Correlation. y 2 -14 3 -9 -15 5 -16 Compute the equation of the linear regression line in the form y = a + br, where b is the slope and a is the intercept. Compute the correlation coeficient for this data set. Use at least 3 decimal places. n E (ry) - E= Ey