5) Suppose the empirical probability of an accidental nuclear crisis on a given day is(3/18,250). Let's assume that a leader will launch a mistaken "retaliatory strike" 10% ofthe time when presented with an accidental nuclear crisis. Thus, given our assumptions,the probability of an accidental nuclear war on a given day is (3/182,500). Suppose thateach day is independent. Hence the passing of days is a sequence of independentBernoulli trials with p-(3/182,500). Let X be the number of days until an accidentalnuclear war.a) How is X distributed?a) What is the mean (u), variance(o), and standard deviation(o) of X?b) Convert the value, from part b, to years to obtain the expected number of years untilan accidental nuclear war.

Bernoulli Trail: In probability theory, a Bernoulli trial is a random experiment which has exactly…

Answered: 5) Suppose the empirical probability of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A hospital performs 6 complex surgeries of a certain type per week. It is known that 60% of patients undergoing a certain surgery survive. For 6 patients who will undergo surgery in one week, determine: (For items (a) to (d) consider rounding to the third decimal place, probabilities in the range [0,1] and tolerance of 0.01.For item (e) one decimal place will be considered and a tolerance of 0.1). a. The probability that at least 2 and at most 4 survive. b. What is the expected number of survivors among patients who will undergo surgery in one week?
Question 1 please answer only b) With the restart of gastronomy, a waiter remembers the time before the pandemic, when he received a considerable amount of tips every month in addition to his salary. But it was far from being the case with every bill that a tip was given. In his experience, this only happened in about 60% of the bills that a tip was given at all. a) What is the probability that under the above assumptions of 20 invoices -Exactly with 10 invoices -if there are more than 18 invoices -with fewer than or equal to 18 invoices a tip is given. Assume that the guests tip stochastically independently of one another. And when solving this subtask, please include the distribution you are using and its parameters! b) On a usual evening, this waiter cashed in around 200 tables in the beer garden, with an average of 2 euros in tip from the tipsters. - What additional earnings per evening can the waiter expect if the conditions are the same as before the pandemic, ie with 200 bills…
A hospital performs 6 complex surgeries of a certain type per week. It is known that 60% of patients undergoing a certain surgery survive. For 6 patients who will undergo surgery in one week, determine: (For items (a) to (d) consider rounding to the third decimal place, probabilities in the range [0,1] and tolerance of 0.01.For item (e) one decimal place will be considered and a tolerance of 0.1). a. The probability that everyone survives. b. The probability that at least 4 survive. c. The probability that at most 5 survive.
4. The odds that an event, A, happens is defined to be O(A) P(A) 1- P(A) If the odds that event A occurs is 3.0, what is the probability it happens? (a) (b) = If the odds that event A occurs is 3:0, what is the probability it happens? 3.0'
1/ A company is going to release four quarterly reports this year. Suppose the company has a 35% chance of beating analyst expectations each quarter. a. What is the probability that the company beats analyst expectations every quarter of this year? b. What is the probability the company beats analyst expectations more than half the time this year? c. What is the expected number of times the company will beat analyst expectations this year?
8 In a supermarket, the prices marked on the signs that are placed on the shelf do not always correspond to the current price of the merchandise, since errors may occur when recording price changes. Assume that over time 60% of the price changes are increases and 40% are decreases. Assume also that 93% of the price increases are marked correctly, as are 98% of the reductions. If a price is not marked correctly, what is the probability that the change is a reduction?.
Q3 a) A component has an exponential time to failure with a mean of 100 hours. (i) The component has already been in operation for its mean life. What is the probability that it will fall by 150 hours? (ii) The component will operate for another 50 hours given that it is in operation 150 hours. (iii) If 20 components are tested, what is the probability that at least one fails in less than 200 hours? Assume that the components fail independently. b) Students of National University were classified according to their favorite color: Blue 12 5 Favorite color Red 13 13 Black 25 20 Male Female If one student is selected at random, then find the probability that the selected student: (i) Doesn't like black color. (ii) Is Female and likes blue color. (iii) Is Male or like black color. (iv) Likes red color given that it is female.
The probably not correct. states that if, under a given assumption, the probability of a particular observed event is exceptionally small (such as less than 0.05), we conclude that the assumption is
Question 20. A town has a clinic where people go to donate blood. One third of the persons donating blood at each of these clinics have O+ blood. What is the probability that in a randomly chosen day, it takes six donors to find two O* donor in the 6th donor of the day? (a) 0.3292 (b) 0.0329 (c) 0.1097 (d) 0.1314
Please solv within 30min (a) 0.1008 0.0010 0.8008 0.3193 (b) 0.1008 0.0010 0.8008 0.3193

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS