Suppose that the probability of a successful optical alignment
Q: The probability of obtaining a head in one toss of a coin is 1/2 and the probability of obtaining…
A: The probability of obtaining a head in one toss of a coin is 1/2 the probability of obtaining two…
Q: The principle of redundancy is used when system reliability is improved through redundant or backup…
A: P(failure of a student's clock)=0.126Failing of both the clocks are independent of each other.
Q: In an office complex of 1110 employees, on any given day some are at work and the rest are absent.…
A: Given information: Total number of employees (N) = 1110 Number of employees at work today (X0) = 854…
Q: The World Economic Forum found that 12% of the U.S. population earns more than $2M per year. Amazon…
A:
Q: Find the probability that more than 33% of the freshmen in the sample of 140 are planning to major…
A: Solution-: Given: n=85,p=0.26 We find, (1 of 6) Check conditions for use normal approximation ( 2 of…
Q: The probability that a defect will occur over the surface of a semiconductor chip is 0.2. Assuming…
A: Given, N=9, p=0.2 x=2
Q: The flow of traffic at certain street corners can sometimes be modeled as a sequence of Bernoulli…
A:
Q: 1) A newly developed missile destroys the target when it falls within 50 m of the target. The…
A: Let us assume X=the event of destroying a target Given that p=probability of success= 40%=0.40…
Q: If each characteristic is equally likely, find the pobability that the pea plant will have round…
A:
Q: Current flows through switches 1 and 2 to a lamp and back to the battery. Suppose the probability…
A: Given : the switch 1 is closed is 0.85, the probability that switch 1 is open = 1 - 0.85 = 0.15 the…
Q: Imagine a man on the grid below. A path is considered to be "valid' if it consists only "go right"…
A: a. From the given information, Given that a man can go either right or up. Observe that a man can go…
Q: Assume that different groups of couples use a particular method of gender selection and each couple…
A: From the provided information, Probability of a girl (p) = 0.5 Sample size (n) = 20 The process will…
Q: If a basket ball player makes a 3 point shot, he has a 55% chance of making his next shot. If the…
A: Let Ei denotes the event that the player makes the ith 3-point shot, i=1,2,3. Given that if a…
Q: Divide a line segment into two parts by selecting a point at random. Use your intuition to assign a…
A: Given: Line segment divided into two parts by selecting a point at random. The longer is segment is…
Q: Suppose that an underground military installation is fortified to the extent that it can withstand…
A: An underground military installation can withstand up to 4 direct hits from air-to-surface missiles…
Q: ity of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for…
A: Value of n and r is missing so I have considered them by referring a similar question. Given: n=217…
Q: A smartphone manufacturer admits that 12% of the smartphones they make have defects that could…
A: Given Data: 'X' is the number of smartphones manufactured that have defects p=0.12 n=20 X~…
Q: Suppose that vehicles taking a particular highway exit can turn right (R) , turn left (L), or go…
A: Given problem Given that
Q: (h) A result which would help find the probability that we reach state a before state b. (i) A…
A: Two statements that describe different results are given and relevant definitions/theorems have to…
Q: A die is rolled until the sum of obtained points becomes greater than 1000. Find the probability…
A: A dice is rolled till the sum of obtained points becomes 1000.We must compute the probability that…
Q: The probability of component A in a computer assembly being faulty is 3%. The similar probability…
A:
Q: Given that the test indicates that a particular driver is incompetent, what is the probability that…
A: Here given, Suppose that 30% of the licensed drivers in Metro Manila are incompetent. Suppose also…
Q: Suppose a basketball player has a free throw success rate of 75%. If she takes 4 free throws in a…
A: given that, a basketball player has a free throw success rate of 75%.
Q: Section 2.1 17. Consider the dart board shown belo Agen be under vard Using the formula |A = mr2 #E…
A: The dart board has circular shape.
Q: Two students are working as part-time proofreaders for a local newspaper. Based on previous aptitude…
A:
Q: Suppose the commuting time from north bay to Barrie varies uniformly from 135 min to 180min what is…
A:
Q: A smartphone manufacturer admits that 12% of the smartphones they make have defects that could…
A: 1. Given that X=the number of smartphones manufactured by this company that have defects that could…
Q: A poll reported that 70% of adults were satisfied with the job the major airlines where doing.…
A:
Q: A component of a spacecraft has both a main system and a backup system operating throughout a…
A: Given: A component of a spacecraft has both a main system and a backup system operating throughout a…
Q: Consider an M/M/1 queuing system with mean inter arrival time of 6 minutes. The average service time…
A:
Q: The device installed on board the aircraft operates in two modes: normal during cruising and…
A: Given: Let A be the cruising mode. P(A) = 0.80 Let B be the takeoff and landing mode P(B) = 0.20 Let…
Q: Suppose each time you take a free-throw, there’s 20% chance that it will go in. You must make 5…
A: As given: There is a 20% chance that a throw will go in. Hence, P( throw) = p = 20% or 0.2 The…
Q: If the probability of being hospitalized during a year is 0.25. Find the probability that no one is…
A: X has binomial distribution. X~binomial(n,p)n=3p=0.25probability mass function of X;…
Q: The probability of a successful optical alignment in the assembly of an optical data storage product…
A: Given, The probability of a success = 0.8 Trials are independent. To find, What is the…
Step by step
Solved in 3 steps with 2 images
- The probability of a successful optical alignment in the assembly of an optical data storage product is 0.8. Assume the trials are independent. What is the probability that the first successful alignment requires at least four trials?The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 19.1% daily failure rate. If the student has two such alarm clocks, what is the probability that they both fail on the morning of an important final exam?The proportion of people in a given community who have Covid-19 infection is 0.005. A test is available to diagnose the disease. If a person has Covid-19, the probability that the test will produce a positive signal is 0.009 . If a person does not have the Covid-19, the probability that the test will produce a positive signal is 0.01. What is the probability that the test will generate positive signal? Which model/rule will best be good for solving the above problem and why? Comment on the types of events you see in the problem and name them.
- A component of a spacecraft has both a main system and a backup system operating throughout a flight. The probability that both systems fail sometime during the flight is 0.0148. Assuming that both systems, considered separately, have the same failure rate, what is the probability that the main system fails during the flight?A student will take two trainee selection exams for companies A and B, respectively. He estimates the probability that he will pass the exam.Company A's selection rate is 2/3. In company B, the probability of approval is 3/4. Finally, the probability of being approved in both processes simultaneously is of 50%. Under these conditions, what is the probability of passing only one of the companies?The drivers are given a choice about how to cross a river in a town. The choices are either to use the bridge or the tunel. Both of the two options have the same length and take the same time.Let's suppose that when it is raining 4 out of 5 drivers prefer to use the tunnel. In that case, what is the probability to observe 14 out of 60 drivers using the bridge?
- From observations of the weather, it is known that on October 20 the probability of rain is 0.85. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?From observations of the weather, it is known that on October 20 the probability of rain is 0.25. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?Do question 2
- 2) A data packet consists of 10,000 bits, where each bit is a 0 or a 1 with equal probability. Estimate the probability of having at least 5200 ones in terms of the Q-function. Show your work.Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…A university computer laboratory installs one of three operating systems on each computer used in the lab. It is known from product testing that during an hour of web browsing the probability a computer with system 1 installed will crash is 0.15, the probability of a computer with operating system 2 crashing is 0.08 and the probability of a computer with system 3 crashing is 0.1. Operating systems 1 and 3 are installed on the same number of computers while system 2 is installed on twice as many computers as system 1 (or system 3).a) What is the probability that a randomly selected computer crashes during an hour of web browsing?b) If a computer selected at random crashed during an hour of browsing the web, what is the probability it has operating system 2 installed?c) If a computer selected at random does not crash during an hour of web browsing what is the probability it has operating system 1 or operating system 2 installed?
