SOLUTION: The probability of a radar station detecting an enemy plane is 0.55. If 6 stations are in use, what is the standard deviation? Round your answer to nearest hundredth. a

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Question 1136077:

The probability of a radar station detecting an enemy plane is 0.55. If 6 stations are in use, what is the standard deviation? Round your answer to nearest hundredth.

a.
1.82

b.
1.22

c.
1.49

d.
3.30

e.
none of these choices
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Find standard deviation for a binomial distribution with+n+=+6 and p+=+0.55.
Step 1: Subtract p from 1 to find q.
q=1-0.55=0.45
Step 2: Multiply n times p times q.

6%2A.55%2A.45=1.485
Step 3: Find the square root of the answer from Step 2
=>standard deviation delta=sqrt%281.485%29=1.218605760695394=1.22

answer:
b.
1.22