Answer:
For a continuous random variable X, P(20 ≤ X ≤ 40) = 0.15 and P(X > 40) = 0.16.
Step-by-step explanation:
Here, P(x > 40) = 0.16
a). P(x < 40) = 1 - P(x > 40)
= 1 - 0.16
= 0.84
b). P(x < 20) = 1 -
= 1 - {P(20 ≤ X ≤ 40) + P(X > 40)}
= 1 - (0.15 + 0.16 )
= 1 - 0.31
= 0. 69
c). P(x = 40) = 0; The probability that a continuous variable assume a particular value is zero.
Answer:
The correct option is 1.
Step-by-step explanation:
It is given that the Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight line away from a motion sensor.
It means they are travelling at a constant rate.
Slope formula:
From the given table it is clear that the of Brian's car from the sensor is 34 at 1 sec and 38 at 3 sec. The rate of change is
It means the Brian's car traveled at the rate of 2 cm per sec.
From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 31 at 3 sec. The rate of change is
It means the Kelsey's car traveled at the rate of 2 cm per sec.
From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 33 at 3 sec. The rate of change is
It means the Geoff's car traveled at the rate of 3 cm per sec.
Since Brian's and Geoff's car traveled at the same rate, therefore option 1 is correct.