Answer:
P(X=2)=0.04129
Step-by-step explanation:
-This is a binomial probability problem whose function is expressed as;
![P(X=x)={n\choose x}p^x(1-p){n-x}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%7Bn%5Cchoose%20x%7Dp%5Ex%281-p%29%7Bn-x%7D)
-Given that p=0.6, n=8 , the probability that among the students in the sample exactly two are female is calculated as:
![P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=2)={8\choose2}0.6^2(1-0.6)^6\\\\=0.04129](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%7Bn%5Cchoose%20x%7Dp%5Ex%281-p%29%5E%7Bn-x%7D%5C%5C%5C%5CP%28X%3D2%29%3D%7B8%5Cchoose2%7D0.6%5E2%281-0.6%29%5E6%5C%5C%5C%5C%3D0.04129)
Hence, the probability of exactly two females is 0.04129
Formula for finding the area of a rectangle: length x width
Formula for finding the volume of a rectangular prism: V = lwh
45 + 4 makes 49 if that counts
About 39 cats are in the shelter
Answer:
$2,975
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 3500 × 15/100
Discount = 3500 x 0.15
You save = $525.00
Final Price = Original Price - Discount
Final Price = 3500 - 525
Final Price = $2,975.00