A random variable X follows a Binomialdistribution with n=209 and p=0.65.Using the Normal approximation of theBinomial distribution, calculate thecontinuity corrected Z-score forobserving a number of successesgreater than or equal to 126. You donot have to estimate the probability.(Hint: the continuity correction is anadjustment included in the calculationto reflect that we are estimatingprobability for a discrete distributionwith a continuous distribution. Enteryour answer to two decimal places. Suppose that a test has a distributionthat is normal with a mean of 542.6and a standard deviation of 95.6.Calculate the exam score thatcorresponds to the 90th percentile.Enter your answer to the nearestinteger. Hint: The 90th percentile ofthe standard normal curve is z = 1.282.

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Answered: A random variable X follows a Binomia…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that a procedure yields a binomial distribution with a trial repeated n=6 times. Use either the binomial probability formula (or technology) to find the probability of k=3 successes given the probability p=0.27 of success on a single trial.(Report answer accurate to 4 decimal places.)P(X=k)=
A report suggests 66% of high school completers in the US enroll in college the following fall. Use the normal to approximate the binomial, with continuity correction, to find the probability that among 200 randomly selected students that completed high school, the number who enrolled in college is 120 or more. Round to four
a and b part
The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 550 hours. Find the probability of a bulb lasting for at least 583 hours. Round your answer to four decimal places
Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Use some form of technology to find the probability distribution given the probability p=0.6p=0.6 of success on a single trial.(Report answers accurate to 2 decimal places.) k P(X = k) 0 1 2 3 4 5
Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Use technology to find the probability distribution given the probability p=0.257p=0.257 of success on a single trial.(Report answers accurate to 4 decimal places.) k P(x = k) 0 1 2 3 4 5
Assume that a procedure yields a binomial distribution with a trial repeated n=14 times.Use the binomial probability formula to find the probability of k=12 successes given the probability p=43/60 of success on a single trial.(Report answer accurate to 4 decimal places.)P(X=12)=
A random number generator picks a number from 6 to 65 in a uniform manner. Round answers to 4 decimal places when possible. The mean of this distribution is . The standard deviation is . The probability that the number will be exactly 48 is P(x=48)=P(x=48)= . The probability that the number will be between 17 and 22 is P(17<x<22)=P(17<x<22)= . The probability that the number will be larger than 50 is P(x>50)=P(x>50)= . P(x>24∣x<57)=P(x>24∣x<57)= . Find the 21st percentile. Find the minimum for the upper quarter.
Experience has shown that the weight of lemons produced by an orchard isnormally distributed, with an average weight (µ) of 50g and a standarddeviation (ʍ) of 8.50g. A sample of 115 of these oranges is randomly selected. Determine the standard error for this sample, andWhat is the probability that the mean weight of the lemons in thesample lies between 49g and 50.50g? Interpret your answer.
Assume that a procedure yields a binomial distribution with a trial repeated n=6 times. Use either the binomial probability formula (or technology) to find the probability of k=4 successes given the probability of p=0.35 of success on a single trial.(Report answers accurate to 4 decimal places.)P(X=k)=
The duration of a professor's class has a continuous uniform distribution between 50.0 minutes and 52.0 minutes. If one class is randomly selected, find the probability that the professor's class duration is between 50.4 and 51.8 minutes.P(50.4<X<51.8)

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