variable with mean 15 (minutes). What is the conditional probability that you have to wait at least 10 additional minutes given that you have already waited 10 minutes?

Q: [Show complete solution] According to a survey, 53% of adult Americans are in favor of the death…

A: Given that n =15,p=0.53, P (x<=9 ) =?

Q: A recent study for Las Vegas showed that the probability of an individual resident moving in a given…

A: Solution: Let X be the number of times an individual will move and n be the number of years. From…

Q: probability of scoring less than 30 is:

A:

Q: The probability that a person with certain symptoms has hepatitis is 0.7. The blood test used to…

A: Given that P  ( H ) = 0.7, P (+ve/H ) = 0.95 , P ( + ve / H' ) = 0.05 Find P( H/+ve ) = ?

Q: produces false positives with a probability of 0.02. If a person tests positive for the disease,…

A: Here use tree diagram and Bayes rule  D = PERSON HAVE DISEASE  T = TEST RESULT POSITIVE  p(D) =…

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A: The probability that it will rain on a given day is 0.23 P(Rain) = 0.23 We know that , complement of…

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Q: The probability that a randomly selected commuter listens to audiobooks during their commute is…

A: Given: p = 0.35 ∴ q = 1 – 0.35 = 0.65 n = 10 Let X denote the number of commuters that listen to…

Q: The average number of cars arriving at a petrol station is 2 per minute. What is the probability…

A: Let X denotes the number of cars arrived in 4-minute interval Given : Arrival Rate (λ) = 2 cars per…

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A: Obtain the probability that fewer than 3 grow into a healthy plant.   The probability that fewer…

Q: The chance of rain is 20%, the chance of it being sunny is 60%, and the chance of it being sunny and…

A: Given that, The chance of rain is 20% The chance of it being sunny is 60% The chance of it being…

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A: Probability distributions are of two types, discrete and continuous distributions. Binomial…

Q: • The probability that a patient recovers from a delicate heart operation is 0.7. Of the next 120…

A: Given, n=120 p=0.7 Now, Since n×p=120×0.7=84>10n×1-p=120×1-0.7=36>10 Therefore, this satisfies…

Q: An unfair coin with a probabilty of tails as 0.55 is tossed 8 times. Find the probability that a…

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Q: the probability of a player scoring a goal is 0.7. What is the probability that a 5th goal is made…

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Q: In a communication channel, data is sent in 10-bit packets. The percentage of a bit sent with error…

A: Introduction: Denote X as the random variable of interest here, which is the number of bad bits in a…

Q: The probability that an athlete finishes a triathlon is 0.66. What is the probability that no less…

A: Introduction: Denote p̂ as the sample proportion of triathletes who will cross the finish line,…

Q: The average number of cars arriving at a petrol station is 2 per minute. What is the probability…

A: Solution: Let X be the number of cars arriving at a petrol station in four-minute interval. From the…

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A: From the given information, define the random variable X as the amount of time  is uniformly…

Q: In a hypothesis test, the Type I error rate is a = 0.10. Suppose we %3D also know that the Type II…

A: The type I error is Rejection of True null hypothesis. The type II error is fail to reject a false…

Q: Assume that the incidence of the HIV virus in a particuar population is 4% and that the test…

A: Let us denote  A= actually has the virus T=tested positive Given that P(A)=4%=0.04 P(T|A)=90%=0.90…

Q: A certain disease has an incidence rate of 0.9%. If the false negative rate is 6% and the false…

A: For two non-null events A and B, using Bayes’ theorem it can be said that, P(A|B) =…

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Q: Suppose a life insurance company sells a $120,000 one-year term life insurance policy to a…

A: Given P=0.999356 q=1-p     =1-0.999356     =0.000644

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A: The average time between bites is 1.417 minutes. Each bite happens independently of the last bite.

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Q: A medical journal reports that the likelihood of having a headache during any single week is 0.035 .…

A: It is given that, A medical journal reports that the likelihood of having a headache during any…

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Q: The probability that Brenda, who cycles to work every day, will arrive late is 0.15. What is the…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: An emergency center receives an average of 4 emergency calls in 10 minute intervals. How much the…

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Q: A certain disease has an incidence rate of 0.8%. If the false negative rate is 8% and the false…

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Q: By investing in a stock, Mark can make a profit in one year of 5,000 with a probability of 0.3 or…

A: By investing in a stock, Mark can make a profit in one year of 5,000 with a probability of 0.3 or…

Q: When manufacturing fabric, the mean number of imperfections per yard of fabric is 0.12. Find the…

A: Given information- We have given the problem of Poisson distribution. Mean no. of imperfections per…

Q: An unfair coin with probability of tails as 0.43 is tossed 5 times. What is the probability that…

A: An unfair coin is tossed five times having probability of getting tails is 0.43. Thus, probability…

Q: Sophie is a dog who loves to play catch. Unfortunately, she is not very good, and the probability…

A: The geometric random variable is used to represent the number of trials required for having first…

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Q: A coin is tossed 2 times. Calculate the probability of obtaining more tails than heads.

A: The probability getting heads is equal to probability of getting tails.

Q: A certain disease has an incidence rate of 0.6%. If the false negative rate is 6% and the false…

A: Let us define some events A : a person has the disease. B : a person does not have the disease. E :…

Q: A production line stops operating once a defective item is produced. The probability of producing a…

A: Given, the probability of producing a defective item p=0.001 Thus, the probability of producing a…

Q: DETERMINE THE PROBABILITY THAT HE WOULD HAVE TO WAIT FOR APPROXIMATELY LESS THAN 8 MINUTES.

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Q: A certain disease has an incidence rate of 0.4%. If the false negative rate is 4% and the false…

A: Given, the incidence rate of the disease is 0.4% i.e. P(disease)=0.004 False negative rate is 4%,…

Q: The probability of a successful operation in an industry is 0.75. What is the probability that the…

A: Geometric Distribution: Let there is a sequence of trials, each having two outcomes, say Success and…

Q: A certain disease has an incidence rate of 0.3%. If the false negative rate is 6% and the false…

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Q: A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false…

A: P(D) = 0.007 P(D')  = 1-0.007 =  0.993 P(+|D) = 1-0.08 =  0.92 P(+|D') = 0.04

Q: A man takes a step forward with probability 0 4 and backward with probability 06. Find the…

A: Since the man is one step away from starting point means that either man has taken 6 steps forward…

Q: The probability that a referee making a serious mistake in a match is 0.4. What is the probability…

A: Given,n=3p=0.4X~Binomial(n=3 , p=0.4)P(X=x)=cxn px (1-p)n-x  ; x=0,1,2....n

Q: The probability of any bullet's hitting a large target is 0.4. What is the probability that eractly…

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Q: Suppose a basketball player is an excellent free throw shooter and makes 88% of her free throws…

A: Given that the probability of making a free throw is= 88%= 0.88 Each free throw shots are…

Q: For any day in July, there is a 20% chance of rainfall. An engineering construction company plans to…

A: Given,p=0.20q=1-0.20=0.80n=5A random variable X~Binomial(n=5 , p=0.20)P(X=x)=5x0.20x0.805-x    ;…