The graph on the right is the uniform density function for a friend who is late.

Question

The graph on the right is the uniform density function for a friend who is late. Find the probability that the friend is at least 2323 minutes late. 0 10 20 30 0 Time (min) Density StartFraction 1 Over 30 EndFraction 1 30 X A probability density function has a horizontal axis labeled "X" and "Time (min)" from 0 to 30 plus in intervals of 5 and a vertical axis labeled "Density" from 0 to StartFraction 1 over 30 EndFraction plus. The probability density function is a rectangle from 0 to 30 with a height of StartFraction 1 over 30 EndFraction. The probability that the friend is at least 2323 minutes late is . (Type an integer or a simplified fraction.)

Explanation / Answer

for uniform distribution function ; paramter a =0 and parameter b=30

therefore probability that the friend is at least 23 minutes late is P(X>23)=(b-23)/(b-a)=(30-23)/(30-0)=7/30

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