where appropriate. 1. Experience has shown that the seeds from a certain variety of orchid have a 75% chance of germinating when planted under normal conditions. Suppose n seeds are planted, and let X be the random variable that counts the number of seeds that germinate. (a) What type of random variable is X? Indicate both the type and the appropriate parameters using the "~" notation. Write down the pmf of X, and do not forget to indicate the range of values that x can take on. X ~ px (x) (b) What is the minimum value of n so that the probability of at least five of the seeds germinating is at least 90%? =

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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where appropriate.
1. Experience has shown that the seeds from a certain variety of orchid have a 75% chance
of germinating when planted under normal conditions. Suppose n seeds are planted,
and let X be the random variable that counts the number of seeds that germinate.
(a) What type of random variable is X? Indicate both the type and the appropriate
parameters using the "~" notation. Write down the pmf of X, and do not forget
to indicate the range of values that x can take on.
X ~
px (x)
=
=
(b) What is the minimum value of n so that the probability of at least five of the
seeds germinating is at least 90%?
Transcribed Image Text:where appropriate. 1. Experience has shown that the seeds from a certain variety of orchid have a 75% chance of germinating when planted under normal conditions. Suppose n seeds are planted, and let X be the random variable that counts the number of seeds that germinate. (a) What type of random variable is X? Indicate both the type and the appropriate parameters using the "~" notation. Write down the pmf of X, and do not forget to indicate the range of values that x can take on. X ~ px (x) = = (b) What is the minimum value of n so that the probability of at least five of the seeds germinating is at least 90%?
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