A certain type of seed has an 80 % germination rate.   You plant 20 of these seeds in your garden.   Let the random variable X be the number of seeds that germinate out of the 20.        a)  Find the mean m for the random variable.  m =  Blank 1. Fill in the blank, read surrounding text.                                                                             b)  Find the standard deviation s for the random variable. Give to 2 decimal places.  s =  Blank 2. Fill in the blank, read surrounding text.                                    c)  Find the probability that exactly 16 seeds germinate, that is, find P(X = 16).    Give the final answer as a decimal rounded to 4 decimal places.   P(X = 16) =  Blank 3. Fill in the blank, read surrounding text.         d)  Find the probability that at most 16 seeds germinate, that is, find P(X ≤ 16).    Give the final answer as a decimal rounded to 4 decimal places.   P(X ≤ 16) =  Blank 4. Fill in the blank, read surrounding text.         e)  Find the probability that at least 16 seeds germinate, that is, find P(X ≥ 16).    Give the final answer as a decimal rounded to 4 decimal places.   P(X ≥ 16) =  Blank 5. Fill in the blank, read surrounding text.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A certain type of seed has an 80 % germination rate.   You plant 20 of these seeds in your garden.

 

Let the random variable X be the number of seeds that germinate out of the 20. 

 

 

 

a)  Find the mean m for the random variable.

 m =  Blank 1. Fill in the blank, read surrounding text.

                                                                       

 

 

b)  Find the standard deviation s for the random variable. Give to 2 decimal places.

 s =  Blank 2. Fill in the blank, read surrounding text.    

                        

 

 

 

c)  Find the probability that exactly 16 seeds germinate, that is, find P(X = 16).   

Give the final answer as a decimal rounded to 4 decimal places.

 

P(X = 16) =  Blank 3. Fill in the blank, read surrounding text.

 

 

 

 

d)  Find the probability that at most 16 seeds germinate, that is, find P(X ≤ 16).   

Give the final answer as a decimal rounded to 4 decimal places.

 

P(X ≤ 16) =  Blank 4. Fill in the blank, read surrounding text.

 

 

 

 

e)  Find the probability that at least 16 seeds germinate, that is, find P(X ≥ 16).   

Give the final answer as a decimal rounded to 4 decimal places.

 

P(X ≥ 16) =  Blank 5. Fill in the blank, read surrounding text.

 

 

 

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