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huangjianhe135
16.10.2020 •
Mathematics
What is the scale factor of XYZ to UVW?
y
83
60
75
V
83"
15
56°
41
56
X
90
18W
410
A. 5
B.
1
4
O
O
C.
011
a
D. 4
Solved
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Ответ:
A. 5
Step-by-step explanation:
add up the sides of XYZ (60+75+90=225)add up the sides of UVW (12+15+18=45)divide the total of XYZ by the total of UVW (225÷45=5)Ответ:
(a) The probability density function of X is:
(b) The value of P (129 ≤ X ≤ 146) is 0.3462.
(c) The probability that a randomly selected flight between the two cities will be at least 3 minutes late is 0.4327.
Step-by-step explanation:
The random variable X is defined as the flight time between the two cities.
Since the random variable X denotes time interval, the random variable X is continuous.
(a)
The random variable X is Uniformly distributed with parameters a = 10 minutes and b = 154 minutes.
The probability density function of X is:
(b)
Compute the value of P (129 ≤ X ≤ 146) as follows:
Apply continuity correction:
P (129 ≤ X ≤ 146) = P (129 - 0.50 < X < 146 + 0.50)
= P (128.50 < X < 146.50)
Thus, the value of P (129 ≤ X ≤ 146) is 0.3462.
(c)
It is provided that a randomly selected flight between the two cities will be at least 3 minutes late, i.e. X ≥ 128 + 3 = 131.
Compute the value of P (X ≥ 131) as follows:
Apply continuity correction:
P (X ≥ 131) = P (X > 131 + 0.50)
= P (X > 131.50)
Thus, the probability that a randomly selected flight between the two cities will be at least 3 minutes late is 0.4327.