The race speeds for the top eight cars in a 200-mile race are listed below. Use the range rule of thumb
2 answers:
Answer:The standard deviation is about 3.6.
Step-by-step explanation:
According to the Range Rule of Thumb : The range is about four times the standard deviation.
i.e. (i)
Given , The race speeds for the top eight cars in a 200-mile race are :
185.9 179.5 189.2 176.7 175.8 188.7. 188.3 177.9
Here , minimum speed = 175.8 and maximum speed = 189.2
Range = maximum speed - minimum speed
i.e. R = 189.2-175.8 =13.4
from (i),
Hence, the standard deviation is about 3.6.
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Answer:
the probability of no defects in 10 feet of steel = 0.1353
Step-by-step explanation:
GIven that:
A roll of steel is manufactured on a processing line. The anticipated number of defects in a 10-foot segment of this roll is two.
Let consider β to be the average value for defecting
So;
β = 2
Assuming Y to be the random variable which signifies the anticipated number of defects in a 10-foot segment of this roll.
Thus, y follows a poisson distribution as number of defect is infinite with the average value of β = 2
i.e
the probability mass function can be represented as follows:
where;
y = 0,1,2,3 ...
Hence, the probability of no defects in 10 feet of steel
y = 0
P(y =0) = 0.1353