Let
![X\sim\mathrm{Bin}(400,0.006)](https://tex.z-dn.net/?f=X%5Csim%5Cmathrm%7BBin%7D%28400%2C0.006%29)
be the random variable representing the number of genes that do get mutated. Here
![\mathrm{Bin}(n,p)](https://tex.z-dn.net/?f=%5Cmathrm%7BBin%7D%28n%2Cp%29)
denotes a binomial distribution with parameters
![n](https://tex.z-dn.net/?f=n)
(total number of genes) and
![p](https://tex.z-dn.net/?f=p)
(probability of mutation).
Then the probability that *at most* 4 genes get mutated is
![\mathbb P(X\le4)=\displaystyle\sum_{x=0}^4\mathbb P(X=x)](https://tex.z-dn.net/?f=%5Cmathbb%20P%28X%5Cle4%29%3D%5Cdisplaystyle%5Csum_%7Bx%3D0%7D%5E4%5Cmathbb%20P%28X%3Dx%29)
where
![\mathbb P(X=x)=\begin{cases}\dbinom{400}x0.006^x(1-0.006)^{400-x}&\text{for }x\in\{0,1,2,\ldots,400\}\\\\0&\text{otherwise}\end{cases}](https://tex.z-dn.net/?f=%5Cmathbb%20P%28X%3Dx%29%3D%5Cbegin%7Bcases%7D%5Cdbinom%7B400%7Dx0.006%5Ex%281-0.006%29%5E%7B400-x%7D%26%5Ctext%7Bfor%20%7Dx%5Cin%5C%7B0%2C1%2C2%2C%5Cldots%2C400%5C%7D%5C%5C%5C%5C0%26%5Ctext%7Botherwise%7D%5Cend%7Bcases%7D)
You should find that
4x^2+x-1 I hope it help you
Answer:
could u cmt what the picture say bc i cant see the picture
Step-by-step explanation:
pleaseeeeeee
Answer:
2 → 3 → 1 → 4
Step-by-step explanation:
We are given the list of cost of fabric in dollars per square yard.
So, the total cost per square yard of different fabric are:
1. 6.5 for $6.25 =
= 0.96
2. 4 for $3 =
= 0.75
3. 8.5 for $8.10 =
= 0.95
4. 6 for $7.20 =
= 1.2
Since, 0.75 < 0.95 < 0.96 < 1.2
Hence, from least to the greatest unit cost, the sequence is 2 → 3 → 1 → 4.
Answer:
it would be 4 you're welcome God loves you and have a wonderful Christmas
Step-by-step explanation: