(Q5)/(A) If you know that 75% of the students in a college are males, and a random sample of 30 people is taken from among the students in this College, what is the probability that there are 8 females in this sample.
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- In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student has a brother given that they have a sister? Has a brother Does'not have a brother Has a sister 10 Does not have a sister 12 3The result of a mathematics course shows that 85% of the students who fail in tests also fail in the final assessment. Eight students who fail in tests are chosen at random. Find the probability that (i) all eight students fail in the final assessment, (ii) at least four students fail in the final assessment.In a family of five children, what is the chance that there are three boys and two girls? = 5/16
- A Supervisor of a pharmacy found that 30% of the workers receive their spending money from part – time jobs. If five workers are selected at random, find the probability that at least 3 of them will have part – time jobs?For next year, 47% of veterans will buy a single family home. If we pick a random sample of 5 veterans, find the probability that at least 4 veterans will buy a single -family home next year?A survey reveals that 20% of the girls are Riphah come from remote areas. If 20 RiphahGirls are randomly selected, what is the probability that at most 3 of them come from remotearea? Please send me answers as soon as possible ??
- According to a study 20% of corporate officers are women. Suppose that you select a random sample of 250 corporate officers. What is the probability that in the sample, less than 15% of corporate officers will be women?According to a study, 20% of corporate officers are women. Suppose that you select a random sample of 250 corporate officers. What is the probability that in the sample, between 13% and 17% of the corporate officers will be women?in a quiet group of eight people, the probability of one person starting to speak is 1/3. What is the probability that the number of people speaking is greater than six?
- A study tracked a large group of people for 10 years. At the start of the study, 20% were heavy smokers (H), 30% were light smokers (L), and 50% were non-smokers (N). The interest of the study was whether the people in the study died during the study (D) or not die (Dc ). The probability that a light smoker died during the study was twice that of the probability of a non-smoker dying. Also, the probability that light smoker died during the study was half that of the probability of a heavy smoker dying. A randomly selected person from the study died during the study. What is the probability that this person was a heavy smoker (given they died, what is the probability they were a heavy smoker H)?QUESTION 2 a) Based on the past data, 8% of customers will order a dessert with the meal at a noodle's restaurant. 14% of them will order a bottled beverage. i. What is the probability that a customer will order both a dessert and a bottled average? (2 marks) ii. The customers have ordered a dessert with the meal. Calculate the probability that he or she will order a bottled beverage. (2 marks) b) The Graduate Management Admission Test (GMAT) is a requirement for all applicants of MBA programs. A variety of preparatory courses are designed to help applicants improve their GMAT scores, which range from 200 to 800. Suppose that a survey of MBA students reveals that among GMAT scorers at least 650, 72% took a preparatory course; whereas among GMAT scores of less than 650 only 31% took a preparatory course. The probability for an applicant to score at least 650 is 30%. Suppose he was not taking the preparatory course. What is his probability of achieving 650 or more for GMAT score? (5…In a certain population of people, 72% of the people have brown eyes and 28% of the people have blue eyes. What is the probability that two randomly selected people (not related to each other) from this population will have eyes of the same color? (Answer correctly to 3 decimal places.)