Answer:
0.2755
Step-by-step explanation:
We intend to make use of the normal approximation to the binomial distribution.
First we'll check to see if that approximation is applicable.
For p=10% and sample size n = 500, we have ...
pn = 0.10(500) = 50
This value is greater than 5, so the approximation is valid.
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The mean of the distribution we'll use as a model is ...
µ = p·n = 0.10(500)
µ = 50
The standard deviation for our model is ...
σ = √((1-p)µ) = √(0.9·50) = √45
σ ≈ 6.708204
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A continuity correction can be applied to better approximate the binomial distribution. We want p(t ≤ 9.1%) = p(t ≤ 45.5). For our lookup, we will add 0.5 to this limit, and find p(t ≤ 46).
The attached calculator shows the probability of fewer than 45.5 t's in the sample is about 0.2755.
Answer:
58
Step-by-step explanation:
Answer:
X=5
X=2
Step-by-step explanation:
Answer:
y = 45x miles
Step-by-step explanation:
Speed is the rate of change of distance with time. Mathematically,
speed = distance/time
Given that Darla travels at a constant speed of 45 miles per hour and for y miles, it takes her x hours then
45 = y/x
multiply both sides by x
45x = y
then the number of miles (y) Darla can drive in x hours
y = 45x (in miles)