The probability from 1.5 ≤ x ≤ 3 can be calculated by dividing the Area from x=1.5 to x=3 by the total Area of the distribution.
The given distribution is rectangular shaped, so its Area will be = Length x Width = 1 x 3 = 3 square units
From x = 1.5 to x = 3, the length is 1.5 and width is 1. So the area between these two intervals = 1.5 square units.
Thus, <span>P(1.5 ≤ X ≤ 3) = 1.5/3 = 0.5
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1/2 of 22:
1/2 · 22 = 22/2 = 11
2/3 of 16
2/3 · 16 = 32/3 = 10 2/3
Answer:
y = x/5 -11
Step-by-step explanation:
y = mx + b (slope intercept form)
5y = x-55
y = x/5 -11
Answer:
The expected loss is $275 million.
Step-by-step explanation:
Expected loss can be determined as the sum of the product of each possible loss by the its probability of occurence. In this situation, there are only two possible losses listed since the probability of no loss doesn't add any value to the expected loss and should be disregarded.
Expected loss (in millions) = EL
The expected loss is $275 million.
Let's use a for number of days when he shot 50 shots and b for number of days when he shot 100 shots.
We have:
a + b = 20
We also know that he shot total of 1250 shots:
50a + 100 b = 1250
We have two equations. We can solve them for a and b. Let's rearange first equation for a:
a= 20 - b
We insert this into second equation:
50 * (20 - b ) + 100b = 1250
1000 - 50b + 100b = 1250
50b = 250
b = 5
a = 20 - 5
a = 15
Mark shot 100 shots on 5 days.
