Answer:
1. True
2. False.
3. True.
Step-by-step explanation:
1. The total area within any continuous probability distribution is equal to 1.00: it is true because the maximum probability (value) is one (1), therefore, the total (maximum) area is also one (1).
<em>Hence, for continuous probability distribution: probability = area</em>.
2. For any continuous probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: False because it has an infinite number of possible values, which can not be counted or uncountable.
<em>Hence, it cannot be computed. </em>
3. For any discrete probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: True because it has a finite number of possible values, which are countable or can be counted.
<em>Hence, it can be computed. </em>
Answer:
Step-by-step explanation:
5c+1+3c=61
8c+1=61
8c=62
c=7.75
Answer:
Speed of wind = 23.63 miles per hour
Plane speed in still air = 260 miles per hour
Step-by-step explanation:
Given:
Time taken with wind = 5 hour
Time taken against wind = 6 hour
Assume;
Speed of wind = s
So,
Speed of Plane with wind = (260 + s) miles per hour
Speed of Plane against wind = (260 - s) miles per hour
Distance = speed x time
So,
(260 + s)5 = (260 - s)6
1,300 + 5s = 1,560 - 6s
11s = 260
s = 23.63 miles per hour
Speed of wind = 23.63 miles per hour
Plane speed in still air = 260 miles per hour
Answer:
Below.
Step-by-step explanation:
To find the number of students in each grade you multiply the marks by the frequency density. The number of students is given by the area under the rectangles.
So to find the number of students with grade U (< 160) it is:
120 * 0.2 + 40*0.5
= 24 + 20
= 44.
The number for Grade E
= (200 - 160) * 0.5
= 40 * 0.5
= 20.
The others can be found in the same way.
