MHB Median, mode, normal distribution

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In a digital communication scenario, the number of bits received in error follows a binomial distribution, with an error probability of 1×10^(-5) for 16 million bits transmitted. The discussion centers on calculating the probability of more than 150 errors occurring, as well as determining the median and mode of the distribution. Participants are encouraged to share their approaches and understanding of the binomial distribution, especially in the context of large sample sizes. The conversation highlights the need for assistance in solving these statistical problems. The focus remains on applying statistical concepts to analyze error rates in digital communication.
wajeehayas
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In a digital communication channel, assume that the number of bits received in error can be modeled by a binomial random variable, and assumed that a bit is received in error is 1×〖10〗^(−5) . if 16 million bits are transmitted,
What is the probability that more than 150 errors occur?
Find the median and mode of the distribution.
help needed to solve this :)
 
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wajeehayas said:
In a digital communication channel, assume that the number of bits received in error can be modeled by a binomial random variable, and assumed that a bit is received in error is 1×〖10〗^(−5) . if 16 million bits are transmitted,
What is the probability that more than 150 errors occur?
Find the median and mode of the distribution.
help needed to solve this :)

Hi wajeehayas!

What have you tried so far? What do you know about the binomial distribution? Here we have a large number of samples. Have you read or heard about how we can handle situations like that?
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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