Question 861019: Radio signals transmitted to earth from deep space probes are very weak against a noisy background. Suppose there is a 3% chance that a transmitted bit will be misread. 1000 bits are transmitted.
A.) Let X = # of bits out of 1000 that are misread, what is the EXACT distribution of X (also specify parameter values)?
B.) Approximate the probability that no more than 35 of the bits will be misread
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Radio signals transmitted to earth from deep space probes are very weak against a noisy background. Suppose there is a 3% chance that a transmitted bit will be misread. 1000 bits are transmitted.
A.) Let X = # of bits out of 1000 that are misread, what is the EXACT distribution of X (also specify parameter values)?
mean = np = 1000*0.03 = 30
std = sqrt(npq) = sqrt(30*0.97) = 5.3944
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B.) Approximate the probability that no more than 35 of the bits will be misread
P(0<= x <= 35) = binomcdf(1000,0.03,35) = 0.8461
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Cheers,
Stan H.
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