The probability that the second stock will have an above average return is__%
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Suppose two stocks have a
The probability that the second stock will have an above average return is__%
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- Q.2 Tom and Dick are going to take a driver's test at the nearest RTO office. Tom estimates that his chances to pass the test are 70% and Dick estimates his as 80%. Tom and Dick take their tests independently. What is the probability that at most one of the two friends will pass the test? and what is the probability that at least one of the two friends will pass the test? (5+ 5 marks)On average dog bite victims arrive at Carver Memorial Hospital at a rate of 2 victims per day. Which probability distribution is most nearly appropriate to describe the number of dog bite victims who arrive at this hospital on a given day?Suppose that the longevity of a light bulb is exponential with a mean lifetime of eight years. a. Find the probability that a light bulb lasts less than one year.b. Find the probability that a light bulb lasts between six and ten years.c. Seventy percent of all light bulbs last at least how long?d. A company decides to offer a warranty to give refunds to light bulbs whose lifetime is among the lowest two percent of all bulbs. To the nearest month, what should be the cutoff lifetime for the warranty to take place?e. If a light bulb has lasted seven years, what is the probability that it fails within the 8th year.
- In Alpha College, students are required to join at least one school club to get extra-curriculum activities’ marks.Suppose the following table represents the probability distribution function of the number of clubs (?) astudent join: ? 1 2 3 4 ?(? = ?) 0.1 2? ? + 0.1 ? (a) Find the value of ?.(b) What is the probability that a student joins at most two clubs?(c) Find ?(?), ???(?) and ?(?).(d) Suppose the membership fee is $100 per club, with the first enrolled club is free of charge. Let ? bethe total membership fee a student pay. Compute ?(?) and ?(?).(e) What percentage of students are paying not less than $200 for the total membership fee?(f) Write a simple paragraph (about 30 -50 words) to summarize the total membership fee a student payingfor joining school club(s) (based on the results in parts (d) and (e)).Q. 2 The probability that a smoker who consumes over 20 cigarettes a day will suffer from chronic respiratory illness is 4 The 10 probability that he will suffer from heart disease is The 10 probability that he will suffer from at least one of these ailments is 6.5 10 (i) Find the probability that the smoker will suffer from both ailments. (ii) Find the probability that he will suffer from heart disease given that he suffers from chronic respiratory illness. (iii) Find the probability that he will suffer from chronic respiratory illness given that he suffers from heart disease. (iv) Are events "chronic respiratory illness" and "heart disease independent"?4. Laptops produced by a certain company last, on average, for 5 years. The life span of each laptop follows an exponential distribution. What is the probability that a laptop will last less than 3 years? b. What is the probability that a laptop will last more than 10 years? What is the probability that a laptop will last between 4 to 7 years?
- 6. Probability of obtaining heads in a specific coin flip is a random variable, A. B is a random variable that takes value of 1, if the coin toss results in a head, and 0 if coin toss results in a tail. (2a 0 < as1 fA(a) = {0 otherwise a. Find the mean and variance of B. b. Find the correlation coefficient of A and B. c. Find the conditional faB (a, 1).The probability that Mr. Johnson goes for an evening walk on any given day during the winter is 0.56. Out of 89 days of winter, the number of days that Mr. Johnson is expected not to take an evening walk to the nearest day, isTom the cat patrols the house in search of the mouse Jerry, who wants to get into the kitchen for something to eat. After leaving the kitchen, Tom will return after a random amount of time, which follows an exponential distribution with mean 25 seconds. Suppose Jerry needs 20 seconds to get across the house, and starts immediately after Tom leaves the kitchen. What is the probability that Jerry the mouse will get caught? Next ( Previous
- Q. 1 The HR department of a large company compiled the following fictitious data regarding the income and education of its employees. Income OR 12000 or below Above OR 12000 High School graduate University graduate 2010 810 400 780 Let A be the event that a randomly chosen employee has a University degree (graduate), and let B be the event that the chosen employee's income is more than OR 12000. (a) Find each of the following probabilities. (Round answers to four decimal places). (i) P(A) (ii) P(B) Math (iii) P(A n B) (iv) P(B|A) (v) P(B|AC) (b) Are the events A and B independent events?Miss 'X' is fond of seeing films. The probability that she sees a film on the day before the test is 0.7. Miss X is any way good at studies. The probability that she maxes the test is 0.3 if she sees the film on the day before the test and the corresponding probability is 0.8 if she does not see the film. If Miss 'X' maxed the test, find the probability that she saw the film on the day before the test.
