Question

Section MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question. Using the following uniform density curve, answer questions 1 and 2 T Pd 125 1) What is the probability that the random variable has a value greater than 32 A) 0.575 1) g0625 B) 0500 D) 0.750 2) What is the probability that the random variable has a value between 0.1 and 0.8? A) 0.213 2) B) 0.088 90338 D) 0.038 Find the indicated probability. 3) The diameters of bolts produced by a certain machine are approximately normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What percentage of bolts will have a diameter greater than 0.32 inches? A) 2.28% 3) B) 97.72% 937.45% D) 47.72% 4) The volumes of soda in quart soda bottles are approximately normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz? A) 0.4013 4) 90.0987 B) 0.5987 D) 0.3821 5) Assume that the weights of quarters are approximately normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. A vending machine will only accept coins weighing between 5.48 g and 5.82 g. What percentage of legal quarters will be rejected? A) 2.48% 5) B) 0.0196 % 9196% D) 1.62% Solve the problem. 6) The serum cholesterol levels for men in one age group are approximately normally distributed with a mean of 177.9 and a standard deviation of 40.5. All units are in mg/100 ml. Find the two levels that separate the top 9 % and the bottom 9 % A) 123.6 mg/100mL and 232.2 mg/100ml. 9164.9 mg/100mlL. and 190.86 mg/100ml. B) 161.3 mg/100mL and 194.5 mg/100mlL D) 107.4 mg/100mL and 248.4 mg/100mL 7) A math teacher gives two different tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of 24 and a standard deviation of 5.2. Scores on the second test are normally distributed with a mean of 70 and a standard deviation of 11. Assume that the two tests use different scales to measure the same aptitude. If a student scores 29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.) 7) B) 85 D) 81 979 A) 75

Answer 1

my dear student you posted multiple questions as per HOMEWORKLIB RULES I have solved the first 5 questions.Thank you.