7. [10 pts.] The time, in hours, during which an electrical generator is operational is a...
The time in hours during which an electrical generator is operational is a random variable with rate 1/160. a) Determine both pmfipdf and cdf of X-time in hours during which an electrical generator is operational. b) What is the probability that the generator will be operational for more than 40 hours? c What is the probability that the generator will be operational between 60 and 160 hours? d) Suppose that 5 generators are obtained and at least 3 working generators...
Question 23 1 pts The amount of time in hours that computers, produced by a manufacturer, functions before breaking down is a continuous random variable with probability density function given by f(x) = el=x/100/1001{>0}, where I{X>0} is 1 when X>0 and is otherwise. In a random sample of 1000 computers produced by the manufacturer, what is the probability that at least 600 of them function fewer than 100 hours? 0.9821 0.0179 0.4821
Problem No. 4 / 10 pts. Given The lifetime, in years, of a certain type of pump is a random variable with probability density function 0 True (a) What is the probability that a pump lasts more than 1 years? (b) What is the probability that a pump lasts between 2 and 4 years? (c) Find the mean lifetime (d) Find the variance of the lifetime. (e) Find the cumulative distribution function of the lifetime. (f) Find the median lifetime....
Stella Mars Polyte Mo 404 (Probahlty and Statsti Exam (40 poiats) all st D t o The ve distl ta f de i X (2 pts)What is PIX1/2 7 a p) Wht P/2 a/2 iSpts) Whiat is the prohability deasity function of the1audn variable whoe cdf is Fi) T LXbe it zandom vairiable with proability density ftion ot w t What is the valui of C 2tsl What is fhe rumalatjve distnibution of X oI Let X he a toitinnous...
RANU 10 pts. Problem No. 6.4 The lifetime, in years, of a certain type of pump is a random variable with probability density function (x+1)* x20 0 True (Note: "True" means "Otherwise" or "Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of...
In question #1 Please answer all parts A and B. And in #2 Please
answer A-C. Thank You!!
Score: 0 of 1 pt 2 of 10 (4 complete) HW Score: 40%, 4 of 10 pts 7.1.13 Question Help The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 15 and 20 minutes late. (b) It is 10 A.M. There is a 50%...
This Quiz: 12 pts possible The amount of time adults spend watching television is closely monitored by firms because this helps to determine advertising pricing for commercial Complete parts a) through () (a) Do you think the variable weekly time spent watching television would be normally distributed? If not, what she would you expect the variable to have? O A The variable weekly time spent watching television is likely normally distributed O B. The variable weekly time spent watching television...
The number of flaws x on an electroplated automobile grill is known to have the following probability mass function: p(0) = 0.6; p(1) = 0.2; p(2) = 0.1; p(3) = 0.1 a) Is this random variable continuous or discrete? Justify your answer. b) Verify that this is a proper mass function c) What is the probability that a randomly selected grill has fewer than 2 flaws? Calculate the probability, and use proper probability notation. d) What is the probability that...
Twenty percent (20%) of a certain type of cell phones are returned for repairs while under warranty. (i) If a company purchases ten of these cell phones for their employees, what is the probability that exactly two of them will need repairs while under warranty? [6 marks] (ii) Of the 10 cell phones purchased by the company, how many would you expect to be returned for repairs while under warranty? [1 mark] (iii) Suppose five hundred (500) cell phones were...
Question 12 pts The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a standard deviation of 1.90. Find the probability that a randomly selected individual will take less than 6 minutes to select a shoe purchase. Is this outcome unusual? Group of answer choices Probability is 0.88, which is usual as it is greater than 5% Probability is 0.12, which is usual as it is not...