Select one of the following topics: Exponential function Logarithmic function Inequalities Share a task – personal or professional – that could be modeled mathematically through your chosen topic. Explain how this might be used in making good decisions. Some examples might be: Exponential growth or decline of money, population or path of a rocket Logarithmic nature of sound intensity Relationships that have limitations on the quantities

I need help completing this assignment; it is for my probability and statistics class. The requirements are listed in the template for each question.

Question 1A car painting company has determined that the painting time of cars is uniformly distributed between 25 and 105 minutes. What is the probability that it will take between 40 and 65 minutes for that company to paint a car ?Group of answer choices80.75 %42.50 %25.00 %31.25 %Flag this QuestionQuestion 2The waiting times at a certain bus station are uniformly distributed between 7 and 15 minutes. What is the probability of waiting between 9 and 11 minutes ?Group of answer choices0.25080.5000.125Flag this QuestionQuestion 3The cooking time for a dish is uniformly distributed between 10 and 20 minutes. What is the probability that the cooking will take between 14 and 16 minutes ?Group of answer choices0.20000.14160.07500.3146Flag this QuestionQuestion 4A car painting company has determined that the painting time of cars is uniformly distributed between 30 and 105 minutes. What is the probability that this company will take less than 1 hour to paint a car ?Group of answer choices35 %40 %75 %20 %Flag this QuestionQuestion 5The baking time for a cake is uniformly distributed between 10 and 18 minutes. What is the probability that the baking process takes more than 14 minutes ?Group of answer choices80.5000.2500.125Flag this QuestionQuestion 6The driving time for an individual from his home to his office is uniformly distributed between 20 minutes and 1 hour. Compute the probability that this individual takes more than half an hour to drive from home to office.Group of answer choices20 %30 %55 %75 %Flag this QuestionQuestion 7The baking time for a cake is uniformly distributed between 10 and 18 minutes. What is the probability that the baking process takes more than 14 minutes ?Group of answer choices0.5000.2500.1258Flag this QuestionQuestion 8The following graph represents a ____________ distribution.Group of answer choicesnormalbinomialuniformPoissonFlag this QuestionQuestion 9The area under the graph of a ____________ is equal to ____________.Group of answer choiceshistogram ------------ the medianuniform distribution ------------ 1normal distribution ------------ 0scatter plot ------------ 50 %Flag this QuestionQuestion 10The graph of a ____________ distribution has the shape of a rectangle. The graph of a ____________ distribution has the shape of a bell.Group of answer choicesPoisson ------------ uniformnormal ------------ binomialuniform ------------ normalbinomial ------------ uniformFlag this QuestionQuestion 11A) The following graph represents a ____________ probability distribution. B) The following graph represents a ____________ probability distribution. Group of answer choicesA) binomialB) uniformA) normalB) uniformA) uniformB) normalA) discreteB) PoissonFlag this QuestionQuestion 12The ACT scores of students are normally distributed with a mean of 18 and a standard deviation of 6. What percentage of students score between 10 and 15 ?Group of answer choices9.12 %30.85 %78.27 %21.73 %Flag this QuestionQuestion 13The grades of students in an exam are normally distributed with a mean of 75 and a standard deviation of 5. What percentage of grades are between 72 and 90 ?Group of answer choices13.24 %27.56 %72.44 %90.72 %Flag this QuestionQuestion 14A tea bag packing machine manufactures bags of tea whose weights are normally distributed with a mean of 250 g and a standard deviation of 2.5 g. What percentage of tea bags weight less than 245 g ?Group of answer choices45.01 %2.28 %39.26 %97.72 %Flag this QuestionQuestion 15The fuel efficiency of a particular model of car is normally distributed with a mean of 28 miles/gallon and a standard deviation of 2 miles/gallon. What percentage of cars of that model have a fuel efficiency below 25 miles/gallon ?Group of answer choices93.32 %15.87 %6.68 %24.17 %Flag this QuestionQuestion 16Assume that the heights of women are normally distributed with a mean of 65 inches and a standard deviation of 3 inches. If a woman is randomly selected , what is the probability that she is taller than 70 inches ?Group of answer choices0.95220.04780.90440.0956Flag this QuestionQuestion 17The grades of students on a test are normally distributed with a mean of 70 and a standard deviation of 8. What percentage of students scored more than 75 in the test ?Group of answer choices74.02 %23.4 %73.4 %26.6 %Flag this QuestionQuestion 18The Normal Probability Distribution is an example of a ____________ probability distribution.Group of answer choicesdiscretecontinuousPoissonuniformFlag this QuestionQuestion 19The salaries of teachers in a particular school district are normally distributed with a mean of $ 50,000 and a standard deviation of $ 2,500. Due to budget limitations, teachers in the top 2 % of salaries will not get a raise. What is the cutoff salary ( rounded to the nearest dollar ) that separates the teachers that get the raise from those that don't get the raise ?Group of answer choices$ 54,702$ 55,134$ 45,298$ 44,866Flag this QuestionQuestion 20In a cookie factory, the masses of cookies are normally distributed with a mean of 40 g and a standard deviation of 2 g. If the 5 % heaviest cookies are rejected, what is the least weight for a cookie to be rejected ?Group of answer choices43.3 g35.3 g55.7 g41.2 g