A psychologist determined that the number of sessions required to obtain the trust of a newpatient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions re-quired to gain the patient's trust. The following probability function has been proposed.f(x) =for x = 1, 2, or 36.Is this probability function valid? Explain.b. What is the probability that it takes exactly two sessions to gain the patient's trust?с.What is the probability that it takes at least two sessions to gain the patient's trust?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose a math class contains 33 students. There are 23 females (five of whom speak Spanish) and 10 males (two of whom speak Spanish). Give all answers as decimals to at least two decimal places. 3. What percent of Spanish speaking students are male? 4. If someone does not speak Spanish what is the probability they are female?
The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. E Click the icon to view the data on business degrees. ..... (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.) Business Graduates (b) Find the probability that a randomly selected student received a business degree, given that the student is female. The probability that a randomly selected student received a business degree, given that the student is female, is (Round to three decimal places as needed.) Business degrees Nonbusiness degrees Total Male 199,313 600,822 800,135 1,065,757 1,865,892 Female 177,694 888,063 Total 377,007 1,488,885 Print Done
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Probability of raining during the month of April in nyc is 0.33. What is the probability that it will rain 2 of the next 3 days ?
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…
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a Merit scholarship (M) and an Athletic scholarship (A) . The probability that you recieve an Athletic scholarship is 0.28. The probability of receiving both scholarship is 0.19. The probability of getting at least one of the scholarship is 0.42 What is the probability that you will receive a Merit scholarship?
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Consider the joint pmf p(x,y) and marginal pmfs p(x) and p(y) for two discrete random variables X and Y as displayed in the table below. X p(x,y) 1 2 3 p(y) 1 0.125 0.0625 0.1875 0.125 0.5 Y 2 0.0625 0.0625 0.125 0.25 0.5 p(x) 0.1875 0.125 0.3125 0.375 1
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Is this probability function valid? Explain. а. b. What is the probability that it takes exactly two sessions to gain the patient's trust? What is the probability that it takes at least two sessions to gain the patient's trust? с.