table.Confirm your answer by looking at the bınomlaBasic Computation: Expected Value and Standard Deviation Consider abinomial experiment with n =(a) Find the expected value and the standard deviation of the distribution.20 trials and p0.40. sample of 200 flights. What is the expected number that will arrive on time?is representative of the entire commercial airline industry, consider a randomAirlines: On-Time Arrivals Consumer Reports rated airlines and found15 minutes of scheduled arrival time). Assuming that the on-time arrival ratethat 80% of the flights involved in the study arrived on time (i.e., withinaWhat is the standard deviation of this distribution?Turthermore,

Let X shows the random variable corresponding to binomial distribution a Expected value of binomial distribution is μ=E(X)=np=20×0.40=8 and Standard deviation of the distribution : σ=np(1-p)=20×0.40 1-0.40=4.8=2.19 b Portions of flight arrive on time is 80% Consider a random sample of 200 flights. Let X represent number of flights arrive on time. Here, X~Binom n=200, p=0.80 Expected number of flights arrive on time: μ=E(X)=np=200×0.80=160 Hence, the expected number that will arrive on time is 160 Now, Standard deviation of flights arrive on time: σ=np(1-p)=200×0.801-0.80=5.65685425≈5.66 hence, the standard deviation of the distribution is 5.66 . .

Answered: Basic Computation: Expected Value and…

Math

Advanced Math

Basic Computation: Expected Value and Standard Deviation Consider a 20 trials and p Ornected value and the standard deviation of the distribution. binomial experiment with n = 0.40.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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Question

table.
Confirm your answer by looking at the bınomla
Basic Computation: Expected Value and Standard Deviation Consider a
binomial experiment with n =
(a) Find the expected value and the standard deviation of the distribution.
20 trials and p
0.40.

sample of 200 flights. What is the expected number that will arrive on time?
is representative of the entire commercial airline industry, consider a random
Airlines: On-Time Arrivals Consumer Reports rated airlines and found
15 minutes of scheduled arrival time). Assuming that the on-time arrival rate
that 80% of the flights involved in the study arrived on time (i.e., within
a
What is the standard deviation of this distribution?
Turthermore,

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