Suppose that 14% of the population of the U.S. is left-handed. If a random sample of 160 people from the U.S. is chosen, approximate the probability that more than 22 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: A brokerage survey reports that 33% of all individual investors have used a discount broker (one…

A: Given that  p = 33% = 0.33 , q = 1 - p = 1 - 0.33 = 0.67 n = 135

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

A:

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

A:

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: If you are given n=504n=504 and p=0.27p=0.27 for a binomial experiment, use the normal distribution…

A: Given that:

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…

A:

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: The proportion p of residents in a community who recycle has traditionally been 60% . A policy…

A: Givenx=126n=215p^=xn=126215=0.5860α=0.10

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: The proportion p of residents in a community who recycle has traditionally been 60% . A policy…

A:

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

A:

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: The proportion p of residents in a community who recycle has traditionally been 70% . A policy maker…

A: The hypothesized proportion is 0.70.

Q: Suppose only 40% of all drivers in a certain state regularly wear seatbelts. A random sampleof 400…

A: Given,n=400p=0.40mean(μ)=npμ=400×0.40=160standard deviation(σ)=np(1-p)σ=400×0.40(1-0.40)σ=9.79796

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: Based on the caterer's experience, 38% of attendees to events will prefer chicken for the main dish.…

A: We have to find standard deviation for number of successes using normal approximation of binomial…

Q: The proportion p of residents in a community who recycle has traditionally been 70%. A policy maker…

A: Givensample size(n)=210x=136significance level = 0.10

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

A:

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 mean annual income for people in a certain city (in thousands of dollars) is 40, with a standard…

A: 1.a   Given:- meanμ =40standard deviationσ=32n=38we have to find PX<42 now , this is normaly…

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…

A:

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: A researcher believes that about 71% of the seeds planted with the aid of a new chemical fertilizer…

A: Obtain the approximate probability that at least 111 of the 160 seeds will germinate.   The…

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: 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: 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: Suppose in a local Kindergarten through 12th grade (K -12) school district, 49% of the population…

A: In question, Given that in a local kindergarten through 12th grade school district 49% population…

Q: The probability of an electric scooter being stolen within a year is 1%. In a region with 20…

A: Given: P( stolen within a year) = 0.01 n = 20

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: