In 2016 Americans owed $1.3 trillion in student loans. The default rates of college student loans determine eligibility for colleges to receive federal student aid. According to the Departmer of Education, an average of 11.2% of Americans who had student loans defaulted on their loans. A random sample of 205 recent graduates was randomly selected. Complete parts a through d below. a. What is the probability that 10% or less of this sample has defaulted on their student loans? The probability is (Round to four decimal places as needed.) b. What is the probability that 15% or more of this sample has defaulted on their student loans? The probability is. (Round to four decimal places as needed.) c. What is the probability that between 10% and 20% of this sample has defaulted on their student loans? The probability is. (Round to four decimal places as needed.) d. Suppose that 28 students from this sample defaulted on their student loans. Does this result support the claim made by the Department of Education? Consider a probability of less than 0.05 to be small. Select the correct choice below and fill-in the answer box to complete your choice. (Round to four decimal places as needed.) O A. The results do not support the clai because the probability of finding a sample proportion at least as extreme as the one found is which is less than or equal to 0.05. which is greater than 0.05. O B. The results do not support the claim because the probability of finding a sample proportion at least as extreme as the one found is which is less than or equal to 0.05. O C. The results do support the claim because the probability of finding a sample proportion at least as extreme as the one found is which is greater than 0.05. O D. The results do support the claim because the probability of finding a sample proportion at least as extreme as the one found is Next

An official from the securities commission estimates that 90% of all online bankers have profited from the use of insider information. Assume that 15 online bankers are selected at random from the commission's registry. Find the probability that 12 or fewer online bankers have profited from insider information. (Find the nearest answer.) a. 18.41% b. 76.39% c. 87.32% d. 97.29% ◆ e. 60.20%

In a major city, between 2012 and 2017, the police made 300,000 (what are called) investigatory stops. If 70% of the residents of the city are black and 10% of the population of the city are involved in the stops, in a fair system of justice, what is the expected probability of black people being stopped by police? Show the math formula that applies, the math plug-ins, and answer.

There is a 0.9991 probability that a randomly selected 29​-year-old male lives through the year. A life insurance company charges ​$152 for insuring that the male will live through the year. If the male does not survive the​ year, the policy pays out ​$110,000 as a death benefit. Complete parts​ (a) through​ (c) below.       Question content area bottom Part 1 a. From the perspective of the 29​-year-old ​male, what are the monetary values corresponding to the two events of surviving the year and not​ surviving?   The value corresponding to surviving the year is ​$negative 152−152. The value corresponding to not surviving the year is ​$109,848109,848. ​(Type integers or decimals. Do not​ round.) Part 2 b. If the 29​-year-old male purchases the​ policy, what is his expected​ value?   The expected value is ​$enter your response here. ​(Round to the nearest cent as​ needed.)