Suppose that 58% of all college seniors have a job prior to graduation. If a random sample of 90 college seniors is taken, approximate the probability that fewer than 55 have a job prior to graduation. 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. (If necessary, consult a list of formulas.)

Q: Suppose that X has a hypergeometric distribution with N = 500, n = 50, and K = 100. Find P(X = 10)…

A: Hypergeometric Distribution: N: Number of items in the population K: Number of items in the…

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: If you are given n=540n=540 and p=0.17p=0.17 for a binomial experiment, use the normal distribution…

A: The following solution is given below:

Q: It is estimated that 10% of the vehicles entering Canada from the United States carry undeclared…

A: Given that n = 500, p = 0.10 p(x<50) = ?

Q: If np > 5 and nq > 5 estimate P(more than 4) with n = 13 and p = 0.5 by using the normal…

A: It is given that the value of n is 13 and p is 0.5. Conditions: np > 5 nq > 5. Checking…

Q: In the above problem, assume that probability of an item being defective is 0.1. Then in a random…

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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: 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: If np 2 5 and nq 2 5, estimate P(more than 9) with n= 11 and p= 0.6 by using the normal distribution…

A:

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: Use the normal approximation to the binomial to find the probability for =n=, 49p, 0.6and ≤X40.…

A: From the provided information, Sample size (n) = 49 Probability (p) = 0.6

Q: ppose that 44% of the population of voters in Mexico favors a particular presidential candidate. If…

A: Given data,n=45p=44%=0.44P(X≥17)=?

Q: suppose that 60% of all students currently enrolled at all California Community College campuses…

A: Part (e):The exact distribution of P is binomial distribution; here P ~ Bin (1,000, 0.6).Thus, the…

Q: In a certain city of several million people, 7.6% of the adults are unemployed. If a random sample…

A: Given: n=230p=0.076 Normal approximation is used with mean μ=np and standard deviation σ=np1-p.

Q: A car insurance company has n = 1600 policy holders. The expected claim paid to a policy holder…

A:

Q: n a certain city of several million people, 7.8% of the adults are unemployed. If a random sample of…

A: Given Information: 7.8% of the adults are unemployed. i.e.., p=0.078 Sample size n=250 To find the…

Q: Use the normal approximation to the binomial to find the probability for =n=, 50p, 0.9and ≤X40.…

A:

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: 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: 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: A research center claims that more than 29​% of employees in a certain country have changed jobs in…

A: Consider that p is the true proportion of employees who have changed jobs in last three years.

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: Suppose that f(x) = e* for x > 0. Determine the following probabilities: Round your answers to 4…

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Q: Suppose that the length of a phone call in minutes follows exponential distribution with parameter…

A:

Q: Use the normal approximation to the binomial to find the probability for =n=, 13p, 0.5and ≥X8. Round…

A: Given that  n=13,p=0.5 and X ≥ 7.

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: A manufacturing process produces semiconductor chips with a known failure rate of 7.4%. If a random…

A: Given information: P(Failure) = 0.074 x = Number of failure in sample n = 215

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: If you are given n=554n=554 and p=0.16p=0.16 for a binomial experiment, use the normal distribution…

A:

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

A:

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

A: It is an important part of statistics. It is widely used.

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: Assume that a procedure yields a binomial distribution with a trial repeated n=13n=13 times. Use…

A: Giventotal number of trails = n = 13probability of success = p = 0.46To find the probability of 1…

Q: Can the Normal approximation to the binomial be used when n=20 and p=0.8?

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

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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: 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 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: In a certain desert, the probability that it rains on any given day is 1/500 (i.e., 0.2 percent).…

A: Given p= Probability that it rains on a given day =1500 n=1000

Q: 2. Cytomegalovirus (CMV) is a (generally benign) virus that infects one – half of young adults. If a…

A: Given problem Given that   Cytomegalovirus ( CMV ) is a ( generally benign ) virus that infects…

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 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;…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.