Answered: A continuous random variable X that can…

A continuous random variable X that can assume values between x = 4 and x = 6 has a density function given by f(x) = 1 1/² (a) Show that the area under the curve is equal to 1. (b) Find P(5

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...

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Question

I need help with all parts please a,b,c

A continuous random variable X that can assume values between x = 4 and x = 6 has a density function given by
f(x) = 1 1/²
(a) Show that the area under the curve is equal to 1.
(b) Find P(5<X<5.6).
(c) Find P(X ≤ 4.5).
(a) Which of the following definite integrals shows that the area under the given curve is 1? Select the correct choic
below and fill in the answer box to complete your choice.
O A.
O C.
10
¡(9)
dx =
dx =
= 1
= 1
4
O B.
O D.
10
5
dx =
6
= 1
19) ---
dx =
= 1

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Step 4: Find the probability given in part c)

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