A researcher believes that about 71% of the seeds planted with the aid of a new chemical fertilizer will germinate. He chooses a random sample of 180 seeds and plants them with the aid of the fertilizer. Assuming his belief to be true, approximate the probability that at least 127 of the 180 seeds will germinate. 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: Use the normal approximation to the binomial to find the probability for  =n=50, p0.6,  and  =X36…

A: We have to use normal approximation to the binomial distribution  First we will calculate mean and…

Q: Find the probability a randomly selected z-score is less than -1.9.  Round your result to 4 decimal…

A:

Q: A baseball player has a batting average of 0.313. what is the players expected number of hits in her…

A: Solution: Given data p = 0.313 n =19 To find : Expected number of hits in her next 19 times at bat?…

Q: 490 trials and the probability of succ Assume that a procedure yields a binomial distribution with n…

A: Given that n=490 and p=0.58 Mean of the binomial distribution, Mu=n*p=490*0.58=248.2 Standard…

Q: Determine the null and alternative hypotheses for the test. Choose the correct answer below. O A.…

A: The following information has been provided : The row and column total have been calculated and they…

Q: Assume that a procedure yields a binomial distribution with n 1369 trials and the probability of…

A: We have given that the binomial distribution with parameters n=1369 and p=49% = 0.49. The pmf of…

Q: A survey organization, as part of the United States Census Bureau, conducts a yearly census similar…

A:

Q: The speed of internet Mb/sec is assumed to be uniform between 20 Mb/sec and 80 Mb/sec in some…

A: Let X is the speed of internet. X~Uniforma=20,b=80

Q: The pie chart shows the distribution of the opinions of parents on whether a college education is…

A: It is needed to test the claim whether the distribution of the opinions of teenagers is different…

Q: n electric car can equally likely run anywhere between 265 and 408 miles on a full charge. If we let…

A: Given: Lower limit of distance a car can run on full charge (a) = 265 miles Upper limit of distance…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

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Q: the time between the arrival of the passengers at the airport follows exponential with a mean of 12…

A: given data time between arrival = 12 minutesλ = 112  per minutex = no. of arrival in t minutest = 15…

Q: X= 17, M = 21, 0 = 9 and N = 16, conduct a two-tailed z-test. Use a = 05.

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Q: sample proportion is p= und to three decimal places as needed.)

A: Given Number of sample of teenagers between 13 to 17 year of ages(n)=280

Q: When doing blood testing for a viral infection, the procedure can be made more efficient and less…

A: Given information- We have given the probability of an individual blood sample testing positive for…

Q: The probability that a randomly selected adult has an IQ less than 128 is (Type an integer or…

A: Given:  Consider X as a random variable that follows a normal distribution with mean 22 and…

Q: Find the z score of the value 2.5 in the data set {1.90, 3.00, 2.5, 3.71, 2.12, 1.76, 2.71,1.39,…

A: From the provided information,

Q: Susan takes a test and calculates her z-score on the test. She obtained a z-score of 1.22. Assuming…

A: Susan obtained z-score of 1.22 we have to find the percentage of individuals a test score higher…

Q: The length of time a person shops for groceries can be modeled by an exponential distribution with…

A: It is given that the time a person shops for groceries is exponential distributed with mean 27 min.

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…

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Q: Let c=0.95, s=7, and n=23. Find the margin of error, E. Assume that the population is normally…

A: The objective of this question is to calculate the margin of error (E) for a normally distributed…

Q: Gertrude boasts that the average talk time on her new cell phone is 15.2 hours. Suppose that her…

A: Given: Mean = 15.2 Consider, X be the random variable that follows the exponential distribution with…

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225and the mean…

A: The probability of a bulb lasting for at most 540 hours is calculated below:

Q: Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard…

A: Obtain the probability that a randomly selected thermometer reads between−2.25 and−1.67. The…

Q: Find the mean for this binomial distribution. (Round answer to one decimal place.) Find the standard…

A: It is given that Number of trials n = 1497 Probability of success p = 0.81

Q: A certain brand of car has an average lifespan of 15 years, which is exponentially distributed. Find…

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Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225 and the mean…

A: From the provided information,

Q: Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard…

A: Given that  Z follows standard normal distribution with mean zero and standard deviation one  Z ~…

Q: The mean and variance of a binomial distribution are 3 and 2 respectively. Find P(X < 3). 9.

A: Given data: np=3 np(1-p)=2

Q: Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard…

A: We have given thatMean(µ) = 0Standard deviations (σ) = 1X ~ N (µ, σ )= N(0, 1)

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

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Q: Use a numerical integration command on a graphing calculator to find the indicated probability. The…

A: Let X be the weight of 5 years old boy  Mean of X is μ=41, standard deviation is σ=6 X~N(μ=41,σ=6)

Q: Researchers doing a study comparing time spent on social media and time spent on studying randomly…

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Q: After giving grade to a quiz in M233, Engr.Cruz announced to the class the mean score was 68 points…

A: The question is about change of origin Given : Original mean score of the class = 68 points Original…

Q: From 2000 to 2023, the number of people in Virginia (in millions) can be modeled by P=0.08x+6.97…

A: Given that the number of people in Virginia (in millions) can be modeled by, where  corresponds to…

Q: A Lumix Panasonic camera has a rechargeable battery. The battery life before recharging is needed…

A: Given: A Lumix Panasonic camera has a rechargeable battery. Let X be a random variable that…

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean…

A: