Assume that 50% of all engineering students are good in Mathematics. Determine the probabilities that among 18 engineering students i) exactly 10 ii) at least 10 iii) at most 8
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- 3% of the workers in a factory are union members. A random sample of 5 workers is taken from these workers. a) Find the probability that the sample consists exactly 4 union members. b) Find the probability that the sample consists of at most 2 union members.A local county has an unemployment rate of 6%. A random sample of 16 employable people are picked at random from the county and are asked if they are employed. Round answers to 4 decimal places. a) Find the probability that exactly 4 in the sample are unemployed. b) Find the probability that there are fewer than 3 in the sample are unemployed. c) Find the probability that there are more than 2 in the sample are unemployed. d) Find the probability that there are at most 3 in the sample are unemployed.Assume this year's flu vaccine has a 80% chance of being effective. If the vaccine is given to 333 randomly selected people, answer the following. d) What is the probability that exactly 264 of them did not get the flu? Round final answer to 4 decimal places. e) What is the probability that less than 264 of them did not get the flu? Round final answer to 4 decimal places. f) What is the probability that more than 264 of them did not get the flu? Round final answer to 4 decimal places.
- The state runs a lottery once every week in which six numbers are randomly selected from 23 without replacement. A player chooses six numbers before the state's sample is selected. The player wins if all 6 numbers match. What is the probability that exactly 3 of the 6 numbers chosen by a player appear in the state's sample? Report answer to 3 decimal places.An analyst is presented with lists of 4 stocks and 5 bonds. He is asked to predict, in order, the 2 stocks that will yield the highest return over the next year and the 2 bonds that will have the highest return over the next year. Suppose that these predictions are made randomly and independently of each other. What is the probability that the analyst will be successful in at least 1 of the 2 tasks?Assume that when adults with smartphones are randomly selected, is affected, 47% use them in meetings or class. If 15 adult smartphone users are randomly selected, find is selected, find the probability that exactly 11 of them user smartphones in meetings or classes
- Find the probability of throwing a sum of 8 at least 4 times in 11 throws of a pair of fair dice.A defense industry firm in Ankara made an announcement to recruit. 65 of them are Metallurgical and Materials Engineering graduates and 72 are Chemical Engineering graduates, who applied for this job advertisement. All applicants seem satisfactory, so 13 are selected to fill open positions. a) Find the probability of recruiting 5 or more candidates with a Metallurgical and Materials Engineering degree. b) What is the probability that at most 9 of the selected candidates are Chemical Engineering graduates? c) Find the mean, variance and standard deviation if 8 Metallurgical and Materials graduates are selected for these positions.In a factory, in a batch of 100 products, there are on average 3 of defected ones. Probability of having the first defected product at the 10th(10.) product in 100 products.
- Suppose repetitions are not allowed. Randomly pick up a three-digit number that is formed from the five digits: 1,2,3,4,5. What is the probability that this number exceeds 300?On a test to obtain a securities license there are 10 questions with possible answers A, B, C, D, & E with probability of getting the correct answer is 70%. A student is taking this test , what is the probability of getting at least 4 correct by guessing on the 10?A = {2, 3, 4, 5) B=(4, 5, 6, 7, 8) Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9 ?