Answer:
The answer is "Option a".
Step-by-step explanation:
Using the binomial distribution:
![\mu = n\times p = 93 \times 0.24 = 22.32\\\\\sigma = \sqrt{n \times p \times (1-p)}=\sqrt{93 \times 0.24 \times (1-0.24)}=4.1186](https://tex.z-dn.net/?f=%5Cmu%20%3D%20n%5Ctimes%20p%20%3D%2093%20%5Ctimes%200.24%20%3D%2022.32%5C%5C%5C%5C%5Csigma%20%3D%20%5Csqrt%7Bn%20%5Ctimes%20p%20%5Ctimes%20%281-p%29%7D%3D%5Csqrt%7B93%20%5Ctimes%200.24%20%5Ctimes%20%281-0.24%29%7D%3D4.1186)
In this the maximum value which is significantly low,
, and the minimum value which is significantly high,
, that is equal to:
![\mu-2\sigma = 22.32 - 2(4.1186) = 14.0828 \approx 14.08\\\\\mu+2\sigma = 22.32 + 2(4.1186) = 30.5572 \approx 30.56](https://tex.z-dn.net/?f=%5Cmu-2%5Csigma%20%3D%2022.32%20-%202%284.1186%29%20%3D%2014.0828%20%5Capprox%2014.08%5C%5C%5C%5C%5Cmu%2B2%5Csigma%20%3D%2022.32%20%2B%202%284.1186%29%20%3D%2030.5572%20%5Capprox%2030.56)
It would be C because if you plug all the x-values in to the equation, it would get the same y values, which would satisfy the equation.
3.option a (-8,2)
4.option b (5,4)
Answer:
Option E) 61.6
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100 bushels per acre
Standard Deviation, σ = 30 bushels per acre
We assume that the distribution of yield is a bell shaped distribution that is a normal distribution.
Formula:
![z_{score} = \displaystyle\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z_%7Bscore%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
P(X>x) = 0.90
We have to find the value of x such that the probability is 0.90
P(X > x)
Calculation the value from standard normal table, we have,
![P(z](https://tex.z-dn.net/?f=P%28z%3C-1.282%29%20%3D%200.10)
Hence, the yield of 61.6 bushels per acre or more would save the seed.