Answer: 0.0473
Step-by-step explanation:
Given : The proportion of gambling addicts : p=0.30
Let x be the binomial variable that represents the number of persons are gambling addicts.
with parameter p=0.30 , n= 10
Using Binomial formula ,
![P(x)=^nC_xp^x(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28x%29%3D%5EnC_xp%5Ex%281-p%29%5E%7Bn-x%7D)
The required probability = ![P(x>5)=P(6)+P(7)+P(8)+P(9)+P(10)\\\\=^{10}C_6(0.3)^6(0.7)^{4}+^{10}C_7(0.3)^7(0.7)^{3}+^{10}C_8(0.3)^8(0.7)^{2}+^{10}C_9(0.3)^9(0.7)^{1}+^{10}C_{10}(0.3)^{10}(0.7)^{0}\\\\=\dfrac{10!}{4!6!}(0.3)^6(0.7)^{4}+\dfrac{10!}{3!7!}(0.3)^7(0.7)^{3}+\dfrac{10!}{2!8!}(0.3)^8(0.7)^{2}+\dfrac{10!}{9!1!}(0.3)^9(0.7)^{1}+(1)(0.3)^{10}\\\\=0.0473489874\approx0.0473](https://tex.z-dn.net/?f=P%28x%3E5%29%3DP%286%29%2BP%287%29%2BP%288%29%2BP%289%29%2BP%2810%29%5C%5C%5C%5C%3D%5E%7B10%7DC_6%280.3%29%5E6%280.7%29%5E%7B4%7D%2B%5E%7B10%7DC_7%280.3%29%5E7%280.7%29%5E%7B3%7D%2B%5E%7B10%7DC_8%280.3%29%5E8%280.7%29%5E%7B2%7D%2B%5E%7B10%7DC_9%280.3%29%5E9%280.7%29%5E%7B1%7D%2B%5E%7B10%7DC_%7B10%7D%280.3%29%5E%7B10%7D%280.7%29%5E%7B0%7D%5C%5C%5C%5C%3D%5Cdfrac%7B10%21%7D%7B4%216%21%7D%280.3%29%5E6%280.7%29%5E%7B4%7D%2B%5Cdfrac%7B10%21%7D%7B3%217%21%7D%280.3%29%5E7%280.7%29%5E%7B3%7D%2B%5Cdfrac%7B10%21%7D%7B2%218%21%7D%280.3%29%5E8%280.7%29%5E%7B2%7D%2B%5Cdfrac%7B10%21%7D%7B9%211%21%7D%280.3%29%5E9%280.7%29%5E%7B1%7D%2B%281%29%280.3%29%5E%7B10%7D%5C%5C%5C%5C%3D0.0473489874%5Capprox0.0473)
Hence, the required probability = 0.0473
Unit rate because unit is referring to one so for example for every unit, there are 6 apples. The unit in the case would be a box
The answer is C. 71. You add up all the numbers to get 355. and then you divide by the amount of numbers there are. there are 5 numbers so you do 355/5 to get 71.
-0.83 for it’s the lowest number
Answer:
hello :
the area is : A= w ×l ... w : the width l : the length
A = 323 l = 19 w ?
l = A/w
l = 323/ 19
l = 17 feet