Answer: the probability that a person who tested positive actually has TB is 0.64
Step-by-step explanation:
lets say
T : has tuberculosis
+ : test results +ve
- : test result is -ve
so given that
P(+ITc) = 0.008
P(-ITc) = 0.15
P(T) = 50/3000 = 1/60
P(Tc) = 1 - P(T) = 1 - 1/60 = 59/60
Now required probability
= P(TI+)
P(T∩+) / P(+)
= P(T) × P(+IT) / [[P(T) × P(+IT)] + [(P(Tc) × P(+ITc)]
= P(T) × {1-P(-IT)] / [[P(T) × [1-P(-IT)] + [(P(Tc) × P(+ITc)]
WE SUBSTITUTE
= { 1/60 × (1-0.15) } / [1/60 × (1 - 0.15)] + [(59/60) × 0.008]
= (0.0167 × 0.85) / [(0.0167 × 0.85) + (0.9833 × 0.008)]
= 0.01417 / 0.02206
= 0.6423 ≈ 0.64
∴ the probability that a person who tested positive actually has TB is 0.64
Answer:
(0.2599,0.3401)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 500
x = 150
Confidence interval:
Putting the values, we get:
The 95% confidence interval is (0.2599,0.3401).
Answer:
x=9 x=-1
Step-by-step explanation:
2(x-4)^2=50
Divide each side by 2
2/2(x-4)^2=50/2
(x-4)^2=25
Take the square root of each side
sqrt((x-4)^2)=sqrt(25)
x-4 = ±5
x-4 =5 x-4 = -5
Add 4 to each side
x-4+4=5+4 x-4+4 = -5+4
Answer:
What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?
Step-by-step explanation:
What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?
