or the fiscal year​ 2007, a tax authority audited 1.74​% of individual tax returns with income of​ $100,000 or more. Suppose this percentage stays the same for the current tax year. What is the probability that two randomly selected returns with income of​ $100,000 or more will be​ audited?

In a recent year 304 of the appoximately 300,000,000 people in the USA were struck by lightning.estimate the probability that a randomly selected person in the USA will be struck by lightning this year

An insurance company issues a policy for a diamond ring worth $15,000 for an annual premium of $225.00. If the company figures the probability of the ring to be lost or damaged is 0.005, what is the company's expected profit?  Round your answer to nearest cent.  (e.g.  $135.789 would enter as 135.79)

es The Internal Revenue Service is studying the category of charitable contributions. A sample of 25 returns is selected from young couples between the ages of 20 and 35 who had an adjusted gross income of more than $100,000. Of these 25 returns, five had charitable contributions of more than $1,000. Four of these returns are selected for a comprehensive audit. a. The hypergeometric distribution is appropriate because it is Osampling a small population without replacement. O sampling a small population with replacement. O sampling a large population without replacement. b. What is the probability exactly one of the four audited had a charitable deduction of more than $1,000? (Round your answer to 4 decimal places.) Probability

Suppose 58% of the children in a school are girls.   If a sample of 425 children is selected, what is the probability that the sample proportion of girls will be greater than 63%? Round your answer to four decimal places.

An insurance company sells a $20,000, seven-year term life insurance policy to an individual for $1,700. Find the expected return for the company if the probability the individual will live for the next seven years is 0.92. (Round your answer to the nearest cent.)$

An insurance company sells a $11,500, five-year term life insurance policy to an individual for $860. Find the expected return for the company if the probability the individual will live for the next five years is 0.96. (Round your answer to the nearest cent.)

Suppose 49% of the registered voters in a country are Republican.   If a sample of 701 voters is selected, what is the probability that the sample proportion of Republicans will differ from the population proportion by greater than 4%? Round your answer to four decimal places.

Suppose the probability of an IRS audit is 4.0 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.    ( (b) What are the odds against such a taxpayer being audited? (Round your answers to the nearest whole number.)

Suppose 59% of the students in a university are baseball players. If a sample of 632 students is selected, what is the probability that the sample proportion of baseball players will be greater than 63%? Round your answer to four decimal places.