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SCORPION-xisa [38]
3 years ago
5

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.

0 minutes. Find the probability that a given class period runs between 50.75 and 51.25 minutes.
Mathematics
1 answer:
barxatty [35]3 years ago
7 0

Answer: 0.05

Step-by-step explanation:

Given : Interval for uniform distribution : [46.0 minutes, 56.0 minutes]

The probability density function will be :-

f(x)=\dfrac{1}{56-46}=\dfrac{1}{10}=0.1\ \ , 46

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

P(50.75

Hence, the probability that a given class period runs between 50.75 and 51.25 minutes = 0.05

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