i) mat is the probability that a car purchased is defective ii) Ir a car purchased is found to be defective what is the probability that this car produced by the company Bị
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- Three students from a 22 student class will be selected to attend a meeting. 9 of the students are female. What is the probability that not all three of the students chosen to attend the meeting are female? =High school seniors with strong academic records apply to the nation's most selective colleges in greater numbers each year. Because the number of slots remains relatively stable, some colleges reject more early applicants. Suppose that for a recent admissions class, an Ivy League college received 2851 applications for early admission. Of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. In the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. Counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. Let E, R, and D represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. Answer questions 3-5.A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 5% of the time if the person does not have the virus. (This 5% is called a false positive) let A be the event “the person is infected” and B be the event “the person tests positive” A) find the probability that a person has the virus given that they have tested positive, i.e find P(A|B). Round answer to 4 decimal places. P(A|B) = B) Find the probability that a person does not have the virus given that they test negative, i.e find P(A^c|B^c) =
- An insurance agent sells the policies to 20 persons having same age and in good health. Based on the company's record, the probability that person in this age will live for the next 20 years is 2/3. Find the probability (a) 8 persons, (b) at most 7 persons, (c) more than 7 persons, (d) at least 3 persons, (e) more than 6 persons but less than 11 persons are still alive at the end of this 20 years period. The probability for a mango tree from a certain type, will produce fruits in the first year is 0.8. Each time, the mango trees seller sells about 5 trees to the buyer with the guarantee that if less than 3 trees produce fruits in the first year, he will replace them according to the number of trees which do not produce fruits. (a) Calculate the probability that there will no replacement. (b) If he sells the trees to 3000 buyers that are 5 trees to each buyer, how many trees are expected to be replaced?What is the probability to withdraw a marble at random that is red or blueWhen a bit is transmitted, it is received in error with probability p. Assume that 10 bits are transmitted independently, what is the probability that 4 bits are correctly received?
- Three students from a 21 student class will be selected to attend a meeting. 7 of the students are female. what is the probability that all three of the students chosen to attend the meeting are female?=A certain virus infects 1 in every 400. A test used to detect the virus in a person is positive 85% of the time if the person has the virus and 8% of the time if the person does not have the virus. This 8% result is called a false positive Let A be the event " the person is infected" and B be the event "the person test positive " A. Find the probability that a person has a virus given that they have tested positive,I.e P(A/B) round answer to the nearest tenth of a percent B. Find the probability that a person does not have the virus given that they test negative. I.E, find (A/B) round to the nearest tenth of a percentI roll an ordinary, six-sided die eight times in a row, what is the probability that at least six of those rolls have a value of 1 or 6?
- can there be negative probabilityA math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probability experiment. Compute the probability that three females are selected. Probability of first student being a female = (as a fraction) Probability of second student being a female = (as a fraction) Probability of third student being a female = (as a fraction) Probability that three females are selected = (as a decimal rounded to the nearest thousandth)What is the probability that the second head is observed on the 5th independent flip of a coin?