Teachers' Salaries in North Dakota The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with o=$5100. Round the fina answers to at least 4 decimal places and round Intermediate z-value calculations to 2 decimal places. Part: 0/ 2 Part 1 of 2 What is the probability that a randomly selected teacher's salary is greater than $37,000? P (X > 37,000) =

4 decimal places

Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040. Assume that the standard deviation is $4700. The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law. Part: 0 / 5 Part 1 of 5 (a) What is the probability that the sample mean tax is less than $800 ? Round the answer to at least four decimal places. The probability that the sample mean tax is less than $8000 is X

Intelligence Quotient (IQ) scores are often reported to be normally distributed with u = 100.0 and o = 15.0. A random sample of 45 people is taken. Step 1 of 2: What is the probability of a random person on the street having an IQ score of less than 99? Round your answer to 4 decimal places, if necessary. Answer O Tables 即 Keypa Keyboard Shorto

Sample size = 16 Standard deviation = 12 %3D %3D Mean = 90 Find the probability that the sample mean is between 88 and 94.

Historical data show that customers who download music from a popular Web service spend approximately $22 per month, with a standard deviation of $3. Assume the spending follows the normal probability distribution. Find the probability that a customer will spend at least $19 per month. How much (or more) do the top 9% of customers spend? What is the probability that a customer will spend at least $19 per month? (Round to four decimal places as needed.) How much do the top 9% of customers spend? (Round to the nearest cent as needed.)

Decide whether you can use the normal distribution to approximate the binomial distribution. If you​ can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you​ cannot, explain why and use the binomial distribution to find the indicated probabilities.   A survey of adults found that 8​% say their favorite sport is auto racing. You randomly select 400adults and ask them to name their favorite sport. Complete parts​ (a) through​ (d).   ​(a) Find the probability that the number of people who say auto racing is their favorite sport is at most 38.

Pay your taxes: According to the Internal Revenue Service, the proportion of federal tax returns for which no tax was paid was p=0.326.As part of a tax audit, tax officials draw a simple sample of n=130 tax returns. Use Cumulative Normal Distribution Table as needed. Round your answers to at least four decimal places if necessary.   1.(a)What is the probability that the sample proportion of tax returns for which no tax was paid is less than 0.29?The probability that the sample proportion of tax returns for which no tax was paid is less than 0.29 is  (b) What is the probability that the sample proportion of tax returns for which no tax was paid is between 0.35 and 0.41? The probability that the sample proportion of tax returns for which no tax was paid is between 0.35 and 0.41 is (c)What is the probability that the sample proportion of tax returns for which no tax was paid is greater than 0.32? The probability that the sample proportion of tax returns for which no tax was paid…