Answer: 0.74
Step-by-step explanation:
Given : The probability that the passengers booked for a certain flight actually show up : p=0.80
The number of passengers are randomly selected : n= 9
Binomial probability formula to find the probability of getting success in x trial :-
![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)
Then , the probability that more than 6 of them show up will be :-
![P(x>6)=P(7)+P(8)+P(9)\\\\=^9C_7(0.8)^7(0.2)^{2}+^9C_8(0.8)^8(0.2)^{1}+^9C_9(0.8)^9(0.2)^{0}\\\\=\dfrac{9!}{7!(9-7)!}(0.8)^7(0.2)^{2}+(9)(0.8)^8(0.2)+(1)(0.8)^9\approx0.3020+0.3020+0.1342=0.7382\approx0.74](https://tex.z-dn.net/?f=P%28x%3E6%29%3DP%287%29%2BP%288%29%2BP%289%29%5C%5C%5C%5C%3D%5E9C_7%280.8%29%5E7%280.2%29%5E%7B2%7D%2B%5E9C_8%280.8%29%5E8%280.2%29%5E%7B1%7D%2B%5E9C_9%280.8%29%5E9%280.2%29%5E%7B0%7D%5C%5C%5C%5C%3D%5Cdfrac%7B9%21%7D%7B7%21%289-7%29%21%7D%280.8%29%5E7%280.2%29%5E%7B2%7D%2B%289%29%280.8%29%5E8%280.2%29%2B%281%29%280.8%29%5E9%5Capprox0.3020%2B0.3020%2B0.1342%3D0.7382%5Capprox0.74)
Hence, the probability that more than 6 of them show up = 0.74
Answer:
P(x)=-2x^2+34x+98
The cost function is given by c(x)=21x-98
And the revenue function is given by r(x)=55x-2x^2
The profit function is the difference of revenue function and the cost function. Mathematically, we can write
p(x)=r(x)-c(x)
Substituting the values, we get
p(x)=55x-2x^2-(21x-98)
p(x)=-2x^2 + 34x = 98
Therefore, the profit function is
p(x) = -2x^2 + 34x + 98
Step-by-step explanation:
N is equal to = 20 which means there were 20 trials. Based on the results, the number of times that the results showed that 1 out of 3 students ride a car going to school, there is 55% probability or 0.55. There are 11 trials out of 20 trials that have exactly 1 student that rides a car going to school.
Answer:
56.700
Step-by-step explanation:
1lb
125lb ≈ 0.45359237kg
xkg
Now, we cross multiply to solve for our unknown x:
x kg ≈ 125lb
1lb * 0.45359237 kg → x kg ≈ 56.699 kg
Conclusion: 125 lb ≈ 56.699 = 56.700 kg