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) = %

For attributes sampling, of the four factors that enter into sample size determination, which can the auditor adjust to reflect the importance of the control? Tolerable deviation rate and sampling risk. Expected deviation rate and sampling risk Population size and tolerable deviation rate Tolerable deviation rate and expected deviation rate3.1 Compute the reliability of a three-independent-component parallel system in which all components have a reliability of 0.75. 3.2 Compute the reliability of a 3-out-of-4 system for which all components have a reliability of 0.85 and the components are independent. 3.3 Compute the system reliability for the following system assuming the components are independent and r = (0.96,0.88,0.92). 2 1 3 3.4 Assuming that the components are independent, compute the system reliability for the system of Problem 2.1 when r = (0.86, 0.90, 0.92, 0.85, 0.82,0.78,0.82). 3.5 For the system of Problem 2.5, assume that y = (0.96, 0.96, 0.96, 0.90, 0.90, 0.94, 0.94). Compute the three types of reliability bounds and the actual system reliability.Omar Marquez is the audio engineer for Summer Musical Enterprises. The group is considering the purchase of a new sound system consisting of five separate components. The components are arranged in series with identical reliabilities. The Basic system with component reliabilities of 80% costs $1000, the Standard system with component reliabilities of 90% costs $2000, and the Professional system with component reliabilities of 99% costs $5000. The cost of a failure during a performance is $50,000. Calculate the reliability of each system. Which system would you recommend? Component No. System Purchase Failure Failure Total System Reliability Components Reliability Cost Cost Probability Cost Basic Standard Professional