Suppose that 15% of the population of the U.S. is left-handed. If a random sample of 145 people from the U.S. is chosen, approximate the probability that fewer than 23 are left-handed. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps.

Q: Suppose that a new treatment is successful in Curing a common ailment 63% of the time. If the…

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Q: A researcher believes that about 73% of the seeds planted with the aid of a new chemical fertilizer…

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Q: Suppose that a new treatment is successful in curing a common ailment 61% of the time. If the…

A: The mean is, μ=np=105×0.61=64.05 The standard deviation is,…

Q: 12% of the squirrels in Cititon Park are gray. What is the probability that, in a random sample of…

A: Given: n=479p=0.12 Use normal approximation with mean μ and standard deviation σ. μ=np   =479*0.12…

Q: Suppose that a new treatment is successful in curing a common ailment 60% of the time. If the…

A: From the provided information, A new treatment is successful in curing a common ailment 60% of the…

Q: A brokerage survey reports that 27% of all individual investors have used a discount broker (one…

A: Given p=27%=0.27n=80    x~Bin(n,p)find p(x>18)=?

Q: A manufacturing process produces semiconductor chips with a known failure rate of 5.8%. If a random…

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Q: Use the normal approximation to estimate the probability of getting exactly 48 girls in 100 births.…

A: Given: The sample size of births is n=100. The probability of birth of a girl is p=0.5. For Binomial…

Q: A manufacturing process prouuces semiconductor chips with a known failure rate of 7.8%. If a random…

A: From the provided information, A manufacturing process produces semiconductor chips with a known…

Q: 4. Derive that mean and variance of the Po(A) using exponential families.

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Q: A company that produces eating oils claims that only 7 out of 100 people can detect the difference…

A: Solution

Q: Among people who subscribe to the Sacramento Bee Newspaper, 40% have a college degree. If a simple…

A: Among people who subscribe to the Sacramento Bee Newspaper, 40% have a college degree. So, if a…

Q: Suppose that on a comprehensive exam at the end of a master's degree program, each student must…

A: Given DataTotal question(n) = 50

Q: A researcher believes that about 73% of the seeds planted with the aid of a new chemical fertilizer…

A: Solution-: Given: n=165,p=0.73 (Or 73%) We want to find, P(more than 117 of the 165 seeds will…

Q: 35% of the squirrels in Cititon Park are gray. What is the probability that, in a random sample of…

A: Given that  Sample size n =35 Population proportion p=35%=0.35

Q: A researcher believes that about 75% of the seeds planted with the aid of a new chemical fertilizer…

A: Given: p=0.75 n=130 x=97

Q: 21% of the squirrels in Cititon Park are gray. What is the probability that, in a random sample of…

A: Givenp=0.21n=256Let "x" be the no. of gray squirrelsx~Binomial(n=256,p=0.21)P(X=x)=(nx)×px×(1-p)x-n…

Q: The Yates' Continuity Correction Formula is used in Chi-Square when the expected values in a 2x2…

A: Yates’ continuity correction is used in Chi-Square when expected frequency less than 5.

Q: show that negative binomial distribution with the following pdf belongs to the exponential family

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Q: A brokerage survey reports that 32% of all individual investors have used a discount broker (one…

A: Given that Mean µ = n*p = 85 * 0.32                         = 27.2 Standard deviation σ =…

Q: 25% of the squirrels in Cititon Park are gray. What is the probability that, in a random sample of…

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Q: A brokerage survey reports that 32% of all individual investors have used a discount broker (one…

A: Givenp=0.32n=140x~Binomial(n=140 , p=0.32)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,....,n

Q: Suppose that on a comprehensive exam at the end of a master's degree program, each student must…

A: Consider X be the random variable, defined as error in awarding points.Error of adding one extra…

Q: According to a study, 64% of all males between the ages of 18 and 24 live at home. (Unmarried…

A: Given,n=203p=0.64mean(μ)=np=203×0.64=129.92standard deviation(σ)=np(1-p)σ=203×0.64×1-0.64σ=6.838947

Q: The distribution of distances travelled in kilometres by patrons of a supermarket is known to follow…

A: Let X be the continuous exponential random variable with λ = 0.6 Then,  We will find the probability…

Q: The life (in months) of a certain computer component is exponentially distributed with mean 5. Find…

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Q: Find the variance for each of the values of n = 500 and p = 0.75 when the conditions for the…

A: If X follows binomial distribution with parameters p= 0.75 and n= 500  i.e. X ~ Bin(n,p)  Then…

Q: Suppose that X has a Pareto distribution with a = 1.5 and 0 = 20, 000. Determine the mean excess…

A: Given : α = 1.5 θ = 20000 To find mean excess loss at 15000

Q: Suppose that a new treatment is successful in curing a common ailment 75% of the time. If the…

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Q: In a recent​ poll, 45​% of survey respondents said​ that, if they only had one​ child, they would…

A: Given datap= 0.45n =130Checking the validity of normal approximation

Q: Suppose that a new treatment is successful in curing a common ailment 69% of the time.  If the…

A: It is given that n = 75 and p = 0.69.

Q: As in a binomial distribution, successive trials of a hypergeometric distribution are independent. O…

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Q: Find MLE for the parameter of the Binomial distribution.

A: Answer: For the given data,

Q: Assume that 1 out of every 5 adults in a local community is unemployed. Approximatethe probability…

A: Test statistic: The test statistic for hypothesis test for proportion is given by:

Q: Suppose that half of all students (50%) in campus dormitories are dissatisfied with the food…

A: n = 64 p = 0.5

Q: In a recent​ poll, 45​% of survey respondents said​ that, if they only had one​ child, they would…

A: (a) The probability that at least 84 would prefer a boy  is 0.1230 and it is obtained below: From…

Q: the highest grade for Florida oranges is U.S. Fancy and is based principally on color. Suppose that…

A: Given Data: n=44 p=0.4 Mean=44*0.4=17.6 SD=sqrt(44*0.4*0.6)=3.25   Using binomial to normal…

Q: Suppose that a new treatment is successful in curing a common ailment 60% of the time. If the…

A: Let p be the probability that a patient is cured with new treatment. Given that p = 0.60 Let X…

Q: A random sample of size n = 225 is to be taken from an exponential population with θ = 4. Based on…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: Suppose that the amount of time one spends to complete a survey is exponentially distributed with…

A: Given- Suppose that the amount of time one spends to complete a survey is exponentially distributed…

Q: A researcher believes that about 74% of the seeds planted with the aid of a new chemical fertilizer…

A: It is an application of CLT . It is very useful in statistics .

Q: On a particular busy section of the Garden State Parkway in New Jersey, police use radar guns to…

A: Let X be the time that elapses between successive speeders, which follows exponential distribution…

Q: The time between calls to a corporate office is exponentially distributed with a mean of 0.2 hours.…

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Q: Find the probability that the value of the exponential random variable with mean rate of 3.2 will be…

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Q: The local news reported that 6% of U.S. drivers text on their cell phones while driving.  If 300…

A: Normal approximation to the binomial:From the given information, it is clear that sample size, n =…

Q: A manufacturing process produces semiconductor chips with a known failure rate of 7.5%. If a random…

A:

Q: A researcher believes that about  70%  of the seeds planted with the aid of a new chemical…

A:

Q: Suppose that we want to use the normal approximation to the binomial distribution to determine b(1;…

A: