The length of a petal on a certain flower varies from 2.25 cm to 6.25 cm and has

Question

The length of a petal on a certain flower varies from 2.25 cm to 6.25 cm and has a probability density function defined by

The length of a petal on a certain fower varies from 225 cm to 625 cm and has a probability density function defined bfFind the probabilties that the length of a randomly selected petal will be as follows a. Greater than or equal to 2.9 cm b. Less than or equal to 2.6 cm c. Between 2.6 cm and 2.9 cm a. The probability that the length of a randomly selected petal is greater than or equal to 2.9 cm is . (Round to four decimal places as needed.)

Explanation / Answer

Ans:

Cumulative distributiom functiion:

F(x)=sqrt(x)-1.5

a)P(x>=2.9)=1-(sqrt(2.9)-1.5)=2.5-sqrt(2.9)=0.7971

b)P(x<=2.6)=sqrt(2.6)-1.5=0.1125

c)P(2.6<=x<=2.9)=P(x<=2.9)-P(x<=2.6)=sqrt(2.9)-sqrt(2.6)=0.0905

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