Answer:
Step-by-step explanation:
From the given information,
Considering both cases when p = 0.5 and when p ≠ 0.5
the probability that the gambler will quit an overall winner is:
where ;
N.k = n and k = m
Hence, the probability changes to:
is p ≠ 0.5 and k/N =
is P = 0.5
Answer:
75%
88.89%
Step-by-step explanation:
Given :
Mean = 70
Standard deviation = 12
Since the data is said to be extremely skewed, we apply Chebyshev's theorem rather than the empirical rule :
The minimum proportion of observation between 46 and 94
Chebyshev's theorem :
1 - 1 / k²
k = number of standard deviations from the mean
k = (94 - 70) / 12 = 24 / 12 = 2
Hence, we have ;
1 - 1/2²
1 - 1/4
1 - 0.25 = 0.75
Hence, The minimum proportion of observation between 46 and 94 is 75%
Between 36 and 106 :
k = (106 - 70) / 12 ;
k = 36/12 = 3
Hence,
1 - 1/3² = 1 - 1/9 = 8/9 = 0.8888 = 88.89%
The minimum proportion of observation between 34 and 106 is 88.89%
The statement which is true is ΔGHI ~ ΔGJK.
<h3>What is Translation?</h3>This is commonly used in geometry to describe a function which moves object at distances.
This therefore means that translation of ∠I onto ∠K means shifting of point I to point K.
The triangles given are HGI and JGK.
Translation in this scenario therefore means that the triangles are similar only if other angles are mapped to their corresponding angles.
It confirms that ΔGHI ~ ΔGJK thereby making it the most appropriate choice.
Read more about Translation here brainly.com/question/16253702
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