Since there are 36 inches in a yard you multiply 12 and 36. That gives you 432 characters per yard.
Answer:
2 5/12
Step-by-step explanation:
(5 + 1/4) - (2 - 5/6)
5 - 2 = 3
(1/4 x 3/3) - (5/6 x 2/2) = 3/12 - 10/12 = -7/12
3 - 7/12 = 2 5/12
A) You need to use the binomial distribution, for which the probability of an event X is given by:
![P(X) = \frac{n!}{k!(n-k)!} p^{k} (1-p)^{n-k}](https://tex.z-dn.net/?f=P%28X%29%20%3D%20%5Cfrac%7Bn%21%7D%7Bk%21%28n-k%29%21%7D%20%20p%5E%7Bk%7D%20%281-p%29%5E%7Bn-k%7D%20)
where:
n = total number of events
k = number of success we want
p = probability of success
Therefore, since the problem tells you that <span>X is the number of subjects who test positive for the disease, you will have:
</span><span>
![P(X) = \frac{30!}{0!(30-0)!} 0.02^{0} (1-0.02)^{30-0}](https://tex.z-dn.net/?f=P%28X%29%20%3D%20%5Cfrac%7B30%21%7D%7B0%21%2830-0%29%21%7D%200.02%5E%7B0%7D%20%281-0.02%29%5E%7B30-0%7D%20)
= 1 </span>· 1 · 0.98³⁰
= 0.5455
Hence, the probability of none of the 30 subjects testing positive to the desease is
54.55%B) In a binomial distribution, the mean is given by the formula:
μ = n · p
= 30 · 0.02
= 0.6
And the standard deviation is given by the formula:
σ = √[n·p·(1-p)]
= √[30·0.02·0.98]
= √0.588
= 0.77
Hence, the
mean is 0.6 and the
standard deviation is 0.77<span>C) This test is not very viable: 30 subjects are a sample too small compared to the population (millions of people who need to be tested), the probability of finding that all the 30 subjects are healty is only a little bit over 50%, the standard deviation is too high compared to the mean, and 2% of false positive is a percentage too high to consider the test viable.</span>
Answer:
e=1
Step-by-step explanation:
Answer:
His goal distance was 20 kilmeters.
Step-by-step explanation:
-It has to be less than 30.
-1% of his goal is 0.2.
-0.2*100=20