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Question
A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.
For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.
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In: Statistics and Probability
In a barber, the rate for the number of customers is 3 per hour. On average, the barber can serve customers at a rate of one every 15 minutes.
A) Find an average number of the customers in the barber (system) and queue?
B) Find average waiting time in the barber and queue?
C) What is the probability that the barber be empty?
D) What is the probability that exactly 2 customers present in the system?
C) with which probability that the number of customers in the system can be between 7 and 10?
In: Other
Suppose we keep rolling a tetrahedral die (with faces marked as 1, 2, 3, 4) till an even number appears for the first time.
(a) Give a precise description of the sample space.
(b) Give the probability of each elementary outcome (each element of the sample space).
(c) Find the probability of an even number appearing for the first time at the nth roll.
(d) Find the probability of an even number appearing for the first time no later than the nth roll.
In: Statistics and Probability
According to an? airline, flights on a certain route are on time 8080?% of the time. Suppose 2525 flights are randomly selected and the number of? on-time flights is recorded. ?(a) Explain why this is a binomial experiment. ?(b) Find and interpret the probability that exactly 1717 flights are on time. ?(c) Find and interpret the probability that fewer than 1717 flights are on time. ?(d) Find and interpret the probability that at least 1717 flights are on time. ?(e) Find and interpret the probability that between 1515 and 1717 ?flights, inclusive, are on time. ?(a) Identify the statements that explain why this is a binomial experiment. Select all that apply. A. The trials are independent. B. There are three mutually exclusive possibly? outcomes, arriving? on-time, arriving? early, and arriving late. C. Each trial depends on the previous trial. D. The experiment is performed until a desired number of successes is reached. E. There are two mutually exclusive? outcomes, success or failure. F. The experiment is performed a fixed number of times. G. The probability of success is the same for each trial of the experiment. ?(b) The probability that exactly 1717 flights are on time is nothing. ?(Round to four decimal places as? needed.) Interpret the probability. In 100 trials of this? experiment, it is expected about nothing to result in exactly 1717 flights being on time. ?(Round to the nearest whole number as? needed.) ?(c) The probability that fewer than 1717 flights are on time is nothing. ?(Round to four decimal places as? needed.) Interpret the probability. In 100 trials of this? experiment, it is expected about nothing to result in fewer than 1717 flights being on time. ?(Round to the nearest whole number as? needed.)?(d) The probability that at least 1717 flights are on time is nothing. ?(Round to four decimal places as? needed.) Interpret the probability. In 100 trials of this? experiment, it is expected about nothing to result in at least 1717 flights being on time. ?(Round to the nearest whole number as? needed.) ?(e) The probability that between 1515 and 1717 ?flights, inclusive, are on time is nothing. ?(Round to four decimal places as? needed.) Interpret the probability. In 100 trials of this? experiment, it is expected about nothing to result in between 1515 and 1717 ?flights, inclusive, being on time. ?(Round to the nearest whole number as? needed.) Click to select your answer(s).
In: Statistics and Probability
Your insurance company has converged for three types of cars. The annual cost for each type of cars can be modeled using Gaussian (Normal) distribution, with the following parameters: (Discussions allowed!)
Use Random number generator and simulate 1000 long columns, for each of the three cases. Example: for the Car type 1, use Number of variables=1, Number of random numbers=1000, Distribution=Normal, Mean=520 and Standard deviation=110, and leave random Seed empty.
Next: use either sorting to construct the appropriate histogram or rule of thumb to answer the questions:
13. What is approximate probability that Car Type 1 has annual cost less than $550?
14. Which of the three types of cars is most likely to cost more than $1000?
15. For which of the three types we have the highest average cost?
In: Statistics and Probability
In game 77, a 7-digit winning number consisting of the digits 0 to 9 is drawn one after the other (they put the numbers back in the bag before drawing another number) and their digits are arranged in the order of the draw. What is the probability that the numbers drawn in non-descending sequence, i.e. the number of a drawing is at least as large as the number of the previous drawing? Also calculate this probability for the general case of a n-digit number.
In: Statistics and Probability
While on a skiing vacation, you break your leg and are treated by a local provider. Upon your return home, your PCP removes the cast. Explain why or why not to use a bundled code.
In: Nursing
A Deque is an ADT which allows efficient (O(1)) insertion and removal at either end of the structure. Typically, a deque is implemented with a doubly-linked list (DLL), and has the following API:
addFront(data) # adds element to head of the DLL removeFront() # removes (and returns) element from head of the DLL addRear(data) # adds element to the tail of the DLL removeRear() # removes (and returns) element from the tail of the DLL
Which of the Deque operations could be used to implement the Queue ADT enqueue and dequeue methods, respectively:
A deque cannot be used to implement a queue
addFront, removeFront
addFront, removeRear
addRear, removeFront
(addFront, removeRear) or (addRear, removeFront)
addRear, removeRear
(addFront, removeFront) or (addRear, removeRear)
In: Computer Science
In: Statistics and Probability
Seventy percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer to purchase electronics online is (a) exactly five, (b) more than five, and (c) at most five.
(a) Find the probability that the number that prefer to purchase electronics online is exactly five.
P(5)equals=
(Round to three decimal places as needed.)
(b) Find the probability that the number that prefer to purchase electronics online is more than five.
P(x>5)equals=
(Round to three decimal places as needed.)
(c) Find the probability that the number that prefer to purchase electronics online is at most five.
P(x≤5)equals=
(Round to three decimal places as needed.)
In: Statistics and Probability