A burglar alarm system has 6 fail-safe components. The probability of each failing is 0.03. What is the probability such that none of them is failing?

Q: Industrial Robots are programmed to operate through microprocessors. The probability that one such…

A: The objective of this question is to find the probability that a robot will operate for at most five…

Q: a new surgical procedure in preliminary trials has a probability of success of 80%. if 10 patients…

A: Let X denote the patients are scheduled to go through this procedure and it follows binomial…

Q: In a large population, 66 % of the people have been vaccinated. If 3 people are randomly selected,…

A:

Q: A monk crossbred plants, which can have purple or white flowers, and obtained 600 plants with white…

A: The number of white flower plant are 600. The number of purple flower plant are 250.

Q: In a physical fitness test it is known that the probability that a person passes it satisfactorily…

A: Givenn=8probability for people fail in test =…

Q: a fair six sided die is rolled 10 times.each is independent.you want to find probability of finding…

A: Let the random variable X denotes the number of times a fair six-sided die is rolled. The number of…

Q: In a large population, 61 % of the people have been vaccinated. If 3 people are randomly selected,…

A: p(vaccinated) = p = 0.61 ∴ p(not vaccinated) = 1 - 0.61 = 0.39 select 3 people at random p(atleast…

Q: Barbie has applied to both Harvard and Yale. The probability that Harvard will admit her is 0.65,…

A: We denote Yale by Y, Harvard by H, and thus their corresponding probabilities by P(Y) and P(H),…

Q: A math professor finds that when she schedules an office hour for student help, an average of 2.3…

A: Step 1:The probability mass function of the poisson distribution is given by…

Q: In a large population, 53 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Given information- Given problem is of binomial distribution. Probability of success, p = 0.53 No.…

Q: Sam is an archer and hits targets with 70% accuracy. If shots are independent of each other, what is…

A: Given Sam is an archer and hits targets with 70% accuracy and shots are independent of each other.…

Q: A company manufactures calculators in batches of 64 and there is a 4% rate of defects. Find the…

A: Givensample size(n)=64p=0.04Let "x" be the no.of defects in a batchx~Binomial(n=64 ,…

Q: n average cleo catches a fish on 45% of the times that he casts his fishing line. If he casts his…

A: Given data, Proportion of cleo catches a fish is p=45% =0.45 n=15 what is the probability that he…

Q: A pharmacist receives a shipment of 2121 bottles of a drug and has 44 of the bottles tested. If 66…

A: From the provided information, A pharmacist receives a shipment of 21 bottles of a drug and has 4 of…

Q: An actress has a probability of getting offered a job after a try-out of 0.02. She plans to keep…

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Q: Harry is a soccer player who practices penalty kickc many times each day. Each time Harry takes a…

A: p(goal)=p=0.7q=1-p=0.3n=20x=no. of goalsp(X=x)=nCxpxqn-x      binomial

Q: A softball pitcher has a 0.692 probability of throwing a strike for each pitch and a 0.308…

A: Let the R.V X denotes the number of  throws and it follows the binomial distribution with parameters…

Q: The time to recharge the flash is tested cell-phone cameras. The probability that a camera passes…

A: Probability that camera passes the test = 0.8 So, probability that the camera fails to pass the test…

Q: An actress has a probability of getting offered a job after a try-out of 0.11. She plans to keep…

A:

Q: The probability that Alice arrives on time is 80%. The probability that Bob arrives on time is 40%.…

A: Given data The probability that Alice arrives on time is 80% The probability that Bob arrives on…

Q: % of the time that he goes up to bat). If he goes up to bat 13 times, what is the probability that…

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Q: A basketball player has a 80% chance of making a free throw. (Assume that the throws are independent…

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Q: A manufacturer claims that a new drug is 85% effective. If the drug is given to 10 patients, find…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: In a large population, 70% of the people have been vaccinated. If 4 people are randomly selected,…

A:

Q: The probability that visiting particular doctor results in neither ECG or  an X-ray is 35%. Of all…

A: Given: P(X-ray ) = 30% = 0.30 P(ECG) = 40% = 0.40 P(Neither ECG nor X ray) = 35% = 0.35

Q: Industrial robots are programmed to operate through microprocessors. The probability that one such…

A: The objective of the question is to find the probability that the robot will operate for at most 5…

Q: An aircraft is used to fire at a target. It will be successful if 2 or more bombs hit the target. If…

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!