chiefkeef5330

25.10.2019 • 

Mathematics

Amessage consists of a string of bits (0s and 1s). due to noise in the channel, each bit has probability 0.2 of being reversed (i.e., a 1 will be changed to a 0 or a 0 will be changed to a 1). to improve accuracy of the communication, each bit is sent three times, so, for example, 0 is sent as 000 and 1 is sent as 111. the receiver assigns the value of 0 if two or more of the bits are decoded as 0. the receiver assigns the value of 1 if two or more of the bits are decoded as 1. assume that each bit is reversed or not reversed independently of the others. a) a 0 is sent as(000). what is the probability that the receiver assigns the correct value of 0? b) assume that each bit is sent n times, where n is an odd number, and that the receiver assigns the value decoded in the majority of the bits. what is the number of n necessary so that the probability that the correct value is assigned is at least 0.95?

Ответ:

shayle24

20.01.2022

Mathematics

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The probability that a bag contains less than 500g is 0.4432

Step-by-step explanation:

A normal random variable with mean Mu = 502 and standard deviation sd = 14 is standardized with the transformation:

Z = (X - Mu) / sd = (X - 502) / 14

For a weight value of 500g, Z = (500 - 502) / 14 = -0.1429.

P (X <500) = P (Z <-0.1429) = 0.4432.

The probability that a bag contains less than 500g is 0.4432

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