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A: Given data,p=70% =0.70n=8P(X<6)
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- A number is chosen at random from the whole numbers between 1 and 13, inclusive. (a) What is the probability that it is odd? (b) What is the probability that it is even? (c) What is the probability that it is a multiple of 3? (d) What is the probability that it is even or a multiple of 3?A jury pool has 23 people that are married and 21 people that are not married, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random without replacement, find the probability that the jury consists of the following. (Give answer as a fraction or a decimal out to at least 4 places. If your answer is very small use scientific notation out to 4 decimal places for example 3.3421E-6.) (a) all married people. (b) all not married people. (c) 8 married and 4 that are not married. (d) 6 married and 6 that are not married.Assume that when human resource managers are randomly selected, 44% say job applicants should follow up within two weeks. If 6 human resource managers are randomly selected, find the probability that exactly 2 of them say job applicants should follow up within two weeks. The probability is (Round to four decimal places as needed.)
- A student is working on a homework assignment with 5 questions. Each question on the assignment has 3 possible choices, which the student chooses from at random. Assuming that the answers are independent of each other, what is the probability that the student answers all the questions correctly? Report your answer to the 4th decimal place, that is, 0.0025 instead of 0.003.A surprising result that appears in many Elementary discussions on probability is called the birthday problem. The question simply stated is that if we poll a certain number of people, what is the probability that at least two of those people were born on the same day of the year? To solve this problem, use the formula for computing the probability of a complement of a event. It is clear that P(duplication of some birthdays)=1-P(n I duplications). Assume that there are 4 people. Find the probability that at least 2 of the 4 people were born on the same day of the year. Do not consider February 29th in leap year when finding the probability.Assume that when human resource managers are randomly selected, 56% say job applicants should follow up within two weeks. If 5 human resource managers are randomly selected, find the probability that at least 3 of them say job applicants should follow up within two weeks. The probability is ☐ (Round to four decimal places as needed.)
- 1.3Describe the Miller Rabin's Test for determining whether or not a large number is prime . Practically , how many iterations of the test would be required before a number is declared prime with a possible chances of error less than one in a billionSuppose that 45% of all babies born in a particular hospital are boys. If 8 babies born in the hospital are randomly selected, what is the probability that at most 1 of them are boys? Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necessary, consult a list of formulas.)
