Knowledge level is consistently coursed with a mean of 100 and a standard deviation of 15. Expect one individual is self-assertively picked. Let X=X= IQ of an individual.

(a) Find the z-score for an IQ of 90, acclimated to three decimal spots.

(b) Find the probability that the individual has an IQ more imperative than 90.

(c) Shade the locale contrasting with this probability in the graph under. (Sign: The x-turn is the z-score. Use your z-score from segment (a), changed in accordance with one decimal spot).

(d) MENSA is an affiliation whose people have the top 2% of all IQs. Find the base IQ expected to meet all necessities for the MENSA affiliation.

(e) Sketch the chart, and form the probability explanation.

Do teachers find their work satisfying and satisfying? An article reports the results of an investigation of 398 evaluation instructors and 267 auxiliary educators. Of the essential instructors, 222 said they were astoundingly content with their positions, while 128 of the extraordinary educators were very content with their work. Check the differentiation between the degree of all essential instructors who are satisfied and all optional educators who are satisfied by processing a 95% CI. (Use pelementary ? phigh school. Round your reactions to four decimal spots.)

,

Translate your 95% conviction range.

We are 95% sure that the differentiation between the degrees of essential instructors who are satisfied and auxiliary educators who are satisfied falls over the upper bound.We are 95% certain that the difference between the degrees of evaluation instructors who are satisfied and optional instructors who are satisfied falls under the lower bound. We are 95% sure that the differentiation between the degrees of evaluation instructors who are satisfied and optional educators who are satisfied falls between these values.We are 95% certain that the difference between the degrees of essential educators who are satisfied and auxiliary instructors who are satisfied falls outside these characteristics.

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Florin Frenti works a little, used vehicle package that has three Mercedes (M1, M2, M3) and two Toyotas (T1, T2). Two customers, Cezara and Anda, go to his part, and each picks a vehicle. The customers don't have even the remotest clue around each other, and there is no correspondence between them.

Let the events An and B be portrayed as follows:

A : The customers select in any occasion one Toyota.

B : The customers select two vehicles of a comparable model.

Perceive all arrangements of vehicles in the model space.

Portray event A.

Describe event B.

Describe the enhancement of A.

Show that (A ? B) ? (? ? B) = B.

Show that A ? ( ? ? B) = A ? B

The chance of an IRS audit for an evaluation structure itemizing more than 25,000 in pay is about 2% every year. We are enthusiastic about the ordinary number of audits a person with that compensation has in a long haul. Period acknowledge each year is free.

a. give the transport of X. X~B(__,__)

b. what number of surveys are typical in a drawn out period?

c. find the probability that an individual isn't analyzed in any capacity.

d. find the probability

the past six months demands for the company XYZ are as follows. demand units sept. 40 oct 50 nov 70 dec 60 jan 80 feb 45 march ? a) Calculate the two moving average value for the forcast of january. b) Calculate the 3 month moving average value for the forcast of january. c) Calculate the 3 month weighted moving avegae value for january, with 2 as the weight for the most recent past period, 1 as the other two past periods. d) calculate the value of exponential smoothing for october and novemberm, with alpha=.6, assuming the forcast for September being 35.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