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.

Question: At a liberal arts college, 90% of the freshmen are enrolled in English 105, 80% are enrolled in Mathematics 101 and 5% are enrolled in Mathematics 101 but not in English 105. A freshman is randomly selected. a. What is the probability that the freshman is enrolled in both English 105 and Mathematics 101? b. What is the probability that the freshman is enrolled in English 105 but not in Mathematics 101? c. Suppose the freshman chosen is known to be enrolled in Mathematics 101. What is the probability that the freshman is also enrolled in English 105? P(E) = 0.90 P(M) = 0.80 m M P(MnE ) = 0.05 P(EnM') = 0.15 P(MnE) = 0.750.05 QUESTION 11 1.00000 points At a liberal arts college, 90% of the freshmen are enrolled in English 105, 80% are enrolled in Mathematics 101 and 5% are enrolled in Mathematics 101 but not in English 105. A freshman is randomly selected. What is the probability that the freshman is enrolled in English 105 but not in Mathematics 101? noljesup 0.90 O 0.80 O 0.75 0.15 0.05home / study / business / business statistics / business statistics solutions manuals / macroeconomics / 13th edition Macroeconomics | (13th Edition) See this solution in the app E Chapter 17, Problem 2TY Bookmark Show all steps: ON Problem Long-term government bonds now pay approximately 3 percent nominal interest. Would you prefer to trade yours in for an indexed bond that paid a 1 percent real rate of interest? What if the real interest rate offered were zeroed? What if it were negative 1 percent? What do your answers to these questions reveal about your personal beliefs about future inflation? Step-by-step solution There is no solution to this problem yet. Get help from a Chegg subject expert.In a test of the hypothesis Ho: ul = 53 versus Ha : p > 53, a sample of n = 100 observations possessed mean x = 52.3 and standard deviation s = 4.3. Find and interpret the p-value for this test. The p-value for this test is 0.948 . (Round to three decimal places as needed.) Interpret the result. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. The probability (assuming that Ho is true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis is O B. The probability (assuming that He is true) of observing a value of the test statistic that is at most as contradictory to the null hypothesis is O C. The probability (assuming that He is true) of observing a value of the test statistic that is equal to the null hypothesis is