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The driving time for an individual from his home to his work is uniformly distributed between 300 to 480 seconds.
A. Determine the probability density function.
B. Compute the probability that the driving time will be less than or equal to 435 seconds.
C. Determine the expected driving time.
D. Compute the variance.
E. Compute the standard deviation.

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Respuesta :

The probability density function is P(x) = 0 for x < 300 or x >480.

A probability density function, also known as the density of a continuous random variable, is a function whose value can be interpreted as providing a relative likelihood that the value of the random variable would be close to that sample in the sample space at any given sample in the sample space.

A.  the probability density function will be 1/(480-300) = 1/180 for 300=x=480

thus,  P(x) = 0 for x < 300 or x >480

B. the probability that the driving time will be less than or equal to 435 seconds is given by,

P(x= 435) = (1/180)(435-300) = 135/180 = 0.75.

C. the expected driving time will be the mean of intervals,

(300 + 480)/2 = 390
D. variance will be computed as (1/12)(480-300)² = 2700

E. standard deviation is calculated as √2700 = 51.96

know more about standard deviation here: https://brainly.com/question/16555520

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