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IceJOKER [234]
3 years ago
8

According to chebyshev's theorem at least what percent of any set of observations will be within 1.8 standard deviations of the

mean
Mathematics
1 answer:
SOVA2 [1]3 years ago
8 0
Chebyshev's theorem states that for a large class of distributions, no more than 1/k² of the distribution will be k standard deviations away from the mean.

This means that 1 - 1/k² of the distribution will be within k standard deviations from the mean.

Because k = 1.8, the amount of the distribution that is within 1.8 standard deviations from the mean is
1 - 1/1.8² = 0.6914 = 69.14%

Answer:  69.1%

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Step-by-step explanation:

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4 years ago
Archie is stranded in a war zone in the land of the Xhosas. His only chance of survival is to reach Sudland, which lies 100 mile
LenaWriter [7]

Answer:

The  chances of success for Archie is P(S|D) =  35\%

Step-by-step explanation:

From the question we are told that

 The distance of Sudland from Xhosas is   d =  100 miles

  The probability  of failure is  P(F) = 0.26

  The probability of choosing the desert route is   P(D) = \frac{1}{40} =  0.025

The probability of reaching Sudland through the mountain is  P(S|M) =0.75

Generally the probability of choosing the  mountains route is

         P(M) = 1 - P(D)

           P(M) = 1 - 0.025

             P(M) = 0.975

Generally the probability of success is mathematically represented as

       P(S) =  1- P(F)

         P(S) =  1- 0.26

          P(S) =  0.74

       

Generally the probability of success in reaching Sudland is also mathematically represented as

     P(S) =  P(S|M) * P(M) + P(S|D) * P(D)

=>   P(S|D) =  \frac{P(S) - P(S|M) * P(M)}{P(D)}

substituting values

=>  P(S|D) =  \frac{0.74 - 0.75 * 0.975}{0.025}  

=>  P(S|D) = 0.35  

=>  P(S|D) =  35\%

8 0
3 years ago
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Answer:

Step-by-step explanation:

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20y - 46 + 46 = 13y + 10 + 46

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