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frez [133]
3 years ago
9

Suppose that the commuting time on a particular train is uniformly distributed between 42 and 52 minutes. Bold a. What is the pr

obability that the commuting time will be less than 44 ​minutes
Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0

Answer: 0.2

Step-by-step explanation:

Given: The commuting time on a particular train is uniformly distributed over the interval (42,52).

∴ The probability density function of X will be :-

f(x)=\dfrac{1}{b-a}\\\\=\dfrac{1}{52-42}=\dfrac{1}{10}, 42

Thus, the required probability :-

P(X

Hence, the  probability that the commuting time will be less than 44 ​minutes= 0.2

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