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 that an individual is all the dead more than twice.

Q1 A survey at Metropolitan College shows that among 750 economics majors, every student has taken at least one course in either economics or statistics. We also know that: 450 students have taken statistics. 450 have taken microeconomics. 450 have taken macroeconomics. 250 have taken both micro- and macroeconomics. 200 have taken both microeconomics and statistics. 250 have taken both macroeconomics and statistics. [a) How many students have taken all three courses? [b] What is the probability that a student who we know has taken a course in microeconomics has also taken statistics?\fBus207: Business Statistics Worksheet #2 for Ch. 7 Estimate a Binomial Probability Using the Normal Curve 1. An engineering professional body estimates that 75% of the students taking undergraduate engineering courses are in favor of studying of statistics as part of their studies. If this estimate is correct, what is the probability that more than 780 undergraduate engineers out of a random sample of 1000 will be in favor of studying statistics?The statistics Association of XYZ University would like to determine whether there is a relationship between student interest in statistics and ability in Mathematics. A random sample of 400 students is selected and they are asked whether their ability in mathematics and interest statistics are low, average, or high. The results were as follows: Interest in Ability in Mathematics Statistics Low Average High Total Low 80 45 40 165 . Average 35 65 30 130 High 25 30 50 105 Total 140 140 120 400 At the 0.01 significance level, is there a relationship between interest in statistics and ability in mathematics