Find the Value of the Constant K So That the Given

question 16

Multiple Choice

Find the value of the constant k so that the given function in a probability density function for a random variable over the
specified interval.
- $f ( x ) = 6 e ^ { - 5 x }$ over $[ 0 , k ]$

• A) \(\frac { 1 } { 5 } \ln \frac { 5 } { 6 }\)
• B) \(- \frac { 1 } { 5 } \ln \frac { 11 } { 6 }\)
• C) \(\frac { 1 } { 5 } \ln 6\)
• D) \(e ^ { - 5 x } \ln 6\)

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Definitions:

Gymnosperms

A group of seed-producing plants that includes conifers, cycads, Ginkgo, and gnetophytes, characterized by unenclosed or "naked" seeds.

Microphylls

Small, often single-veined leaves found on some plants, particularly those belonging to the lycophytes group.

Club Mosses

Ancient plants belonging to the division Lycophyta that resemble true mosses superficially but have vascular tissue and reproduce by spores.

Whisk Ferns

Fern relatives lacking true roots and leaves; characterized by dichotomous branching.