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Given that the probability of error in transmitting a bit over a communication
channel is 8 Γ 10β4, compute the probability of error in transmitting a block
of 1024 bits. Note that this model assumes that bit errors occur at random,
but in practice errors tend to occur in bursts. Actual block error rate will be
considerably lower than that estimated here.
An electrical company claims that the average life of the bulbs it manufactures is 1 100 hours with a standard deviation of 200 hours. If a random sample of 110 bulbs is chosen, what is the probability that the sample mean will be between 1120 hours and 1 150 hours?
"a_n=a_{n-2}+4a_{n-7}"
Equation of a Tangent Line: Find the standard (slope-intercept form) equation of the tangent line to the following functions at the specified points. (Show your complete solution, use Method 1)
- π(π₯) = π₯2 β 4π₯+1 at point (0,1)
- π(π₯) = π₯3+ 2 at point (1,3)
- π(π₯) = 2π₯4+ 3π₯3 β 2π₯ + 7 at point (-1,8)
- π(π₯) = β2π₯ + 7 ππ‘ π₯ =1
In a study to estimate the proportion of smokers among the residents in a certain city and its suburbs, it is found that 24 of 104 urban residents are smokers, while 34 of 108 suburban residents are smokers.
On an enquiry related to the frequent reporting of mouth cancer cases, it is estimated that around 60% of the patients chewed tobacco. Does this seem to be a valid estimate if, in a random sample of 120 people, 84 were found to be tobacco users?
NTT Company purchased a delivery truck on credit from AMCE which requires a payment of Br. 400, 000 plus 5% interest compounded annually at the end of 5 years. The Company plans to set up a sinking fund to accumulate the amount required to settle the debt.
Required:
find the total debt at the end of the 5 year.
what should be the monthly deposit into the fund be if the account pays 15% interest, compounded monthly?
1. "X_1,\\ldots,X_n \\sim iid \\sim N(0,1)." Define "\\bar{X}" (sample mean) and "S^2=\\sum_1^n X_i^2" .
a) Show that "\\bar{X}" and "S^2" are dependent.
b) Derive the conditional distribution of "\\bar{X}" , given "S^2".
c) Determine c(u) such that P["\\bar{X}" > c(u)|u] =alpha, where "\\text{u}=S^2".
The table below presented the ranks which were assigned by three judges to the works
of ten articles:
S.no. 1 2 3 4 5 6 7 8 9 10
Judge A 5 7 4 1 3 2 9 8 10 6
Judge B 4 8 3 2 7 1 10 6 9 5
Judge C 8 6 2 10 4 1 3 9 5 7
Compute the spearmanβs rank order correlation coefficients for each pair of ranking and
decide:
a) Which two judges are most alike in their opinion about these artists?
b)Β Which two judges are different in their opinion about these artists?
The table below presented the ranks which were assigned by three judges to the works
of ten articles:
S.no. 1 2 3 4 5 6 7 8 9 10
Judge A 5 7 4 1 3 2 9 8 10 6
Judge B 4 8 3 2 7 1 10 6 9 5
Judge C 8 6 2 10 4 1 3 9 5 7
Compute the spearmanβs rank order correlation coefficients for each pair of ranking and
decide:
a) Which two judges are most alike in their opinion about these artists?
b)Β Which two judges are different in their opinion about these artists?
#339914 on Dec 2023