5) A man aiming at a target receives 10 points if his shot is within 1...
Problem 1. Arrows shot hit at random a circular target of radius 10 cm. (a) What is the probability that a shot will fall within a circle of radius 5 cm? The second circle fits entirely inside the target. (b) What is the probability that a shot wil fall within a square with sides of length 2 cm? The square fits entirely inside the target
Problem 1. (12 Points) A point is uniformly distributed within the disk of radius 1. That is, its density is (a) find the probability that its distance from the origin is less than k, 0 Sk1 (b) determine P(x<Y). (c) determine P(X +Y < 0.5)
3. [10 Points] A student usually receives ten text messages within the lunch hour in a weekday. Consider a 30 minutes' period in a week day lunch. a) What is the probability that he receives no more than 5 messages during that time period? b) What is the probability that he receives more than 5 and less than 15 messages during that time? c) What is the probability that he receives at least 8 test messages during that time period?...
a) 3. [10 Points] A student usually receives ten text messages within the lunch hour in a weekday. Consider a 30 minutes' period in a week day lunch. What the probability that he receives no more than 5 messages during that time period? b) What is the probability that he receives more than 5 and less than 15 messages during that time? c) What is the probability that he receives at least 8 test messages during that time period? d)...
(1 point) Two points are selected randomly on a line of length 10 so as to be on opposite sides of the midpoint of the line. In other words, the two points X and Y are independent random variables such that X is uniformly distributed over [0,5) and Y is uniformly distributed over (5, 10]. Find the probability that the distance between the two points is greater than 2. answer:
Previous Problem Problem List Next Problem (1 point) A man and a woman agree to meet at a cafe about noon. If the man arrives at a time uniformly distributed between 11:40 and 12:10 and if the woman independently arrives at a time uniformly distributed between 11:55 and 12: 35, what is the probability that the first to arrive waits no longer than 5 minutes? 1/3 Preview My Answers Submit Answers
1. (50 points) For the probability density function shown below (a) Determine the expected value of X. (b) What is the probability that X is less than 2? (c) What is the probability that X is between 1 and 2? fx(x) _ 2 3 2. (50 points) Suppose that the diameter X of a certain type of weld is uniformly distributed between 0.2 mm and 4.2 mm. (a) Determine and plot the PDF and CDF of X. (b) What is...
1) Rate data often follow a lognormal distribution. Average power usage (dB per hour) for a particular company is studied and is known to have a lognormal distribution with parameters μ = 4 and σ = 2. What is the probability that the company uses more than 270 dB during any particular hour? 2) A certain type of device has an advertised failure rate of 0.01 per hour. The failure rate is constant and the exponential distribution applies. (a) What...
Can Someone help with problems 4 and 5? Problem 4. A circular-shaped archery target has three concentric circles painted on it. The in- nermost circle has a radius of 1/V3 feet, the middle has a radius of 1 foot, and the outermost circle has a radius of v3 feet. An arrow hitting in the innermost circle counts for 4 points, between the in nermost and middle circle 3 points, between the middle and outermost circle 2 points, and not hitting...
pons 5. For 1000 men age 18-24 in the HANES sample Average height (X) 75 inches SD -3 inches Average weight()-160 pounds SD, 20 pounds Correlation r .6 One man in the sample was 65 inches tall what is his expected weight? (10 points) 6. The observed ages of a group of interns at a local hospital were: 33, 37, 32, 27, 28, 36, 38). Find the median of this list. a. b. Find the mode of this list. c....