What is the value of n? 38°
1 answer:
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Answer:
a) 0.3064 = 30.64% probability that athlete will test positive for prohibited drug use.
b) 0.2693 = 26.93% probability that this drug user never used the prohibited drug.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
A. If an athlete is selected at random, what is the probability that athlete will test positive for prohibited drug use?
100 - 5 = 95% of 8%
100 - 13 = 87% of 17%
11% of 75%
So
0.3064 = 30.64% probability that athlete will test positive for prohibited drug use.
B. If an athlete tests positive after a drug test, what is the probability that this drug user never used the prohibited drug?
Conditional Probability
Event A: Tests Positive
Event B: Never used the drug.
0.3064 = 30.64% probability that athlete will test positive for prohibited drug use
This means that
Probability of testing positive while never using the drug.
11% of 75%. So
0.2693 = 26.93% probability that this drug user never used the prohibited drug.
Answer:
Velocity of the plane relative to the ground
= [(-145.98î) + (15j)] knots
Magnitude = groundspeed = 146.75 knots
Direction = -5.9°
Step-by-step explanation:
This is a relative velocity question.
Let the velocity of the airplane relative to the wind be V(aw)
Velocity of the airplane relative to the ground = Va
The velocity of the wind relative to the ground = Vw
The relative velocity theory enables us o relate these as thus,
V(aw) = Va - Vw
Va = V(aw) + Vw
V(aw) = (-120î) knots (120 west)
For Vw, the wind is said to be blowing from 120°, reading this on a three figure bearing as angle from the north,
This gives the real direction of the wind to be 150° from the positive x-axis as shown in the attached image.
Vw = (30cos 150°)î + (30sin 150°)j
Vw = (-25.98î + 15j) knots
Va = V(aw) + Vw = (-120î) + (-25.98î + 15j)
Va = (-145.98î) + (15j)
Magnitude of Va = √[(-145.98)² + (15)²] = 146.75 knots
Direction = tan⁻¹ (-15/145.98) = -5.9°
Hope this Helps!!!
