Answer:
Mean = 8
Variance = 7.36
Standard Deviation = 2.7129
Step-by-step explanation:
This is a binomial distribution with parameters, n and p.
Where
n is sample size (given as 100)
p is the probability of success, or probability of defective (given as 8% or 0.08)
The mean, variance, standard deviation formula for binomial distribution is shown below:
Mean = ![np](https://tex.z-dn.net/?f=np)
Variance = ![npq](https://tex.z-dn.net/?f=npq)
Standard Deviation = ![\sqrt{npq}](https://tex.z-dn.net/?f=%5Csqrt%7Bnpq%7D)
Where q would be probability of failure, or "1 - p"
Thus,
n = 100
p = 0.08
q = 1 - 0.08 = 0.92
SO, we have:
Mean = ![np=100*0.08=8](https://tex.z-dn.net/?f=np%3D100%2A0.08%3D8)
Variance = ![npq=100*0.08*0.92 = 7.36](https://tex.z-dn.net/?f=npq%3D100%2A0.08%2A0.92%20%3D%207.36)
Standard Deviation = ![\sqrt{npq}=\sqrt{7.36}=2.7129](https://tex.z-dn.net/?f=%5Csqrt%7Bnpq%7D%3D%5Csqrt%7B7.36%7D%3D2.7129)
hi,
you must replace x by the number between parenthese.
I show you with the first one and let you do the second one
p(x) = 11x^5 -11x^4 - 5x^2 +15x-8
p(-4) = 11 (-4)^5 - 11 (-4)^4 -5(-4)² +15(-4) -8
p(-4) = 11 ( -1024- 256) - 5*16 -60-8
p(-4) = 11 ( -1280) -80-60-8
p(-4) = - 14080 - 148
p(-4) = - 14 228
Answer:
an example of an improper fraction is 57/4 or 21/6. cuz ur numerator is larger than ur denominator