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For each Bernoulli process, find the expected number of successes: 1) Number of trials =20, Probability of success =0.8   2) Number of trials =210, Probability of success =1/10   3) Number of trials =27, Probability of success =0.2

Question

For each Bernoulli process, find the expected number of successes:

 

1) Number of trials =20, Probability of success =0.8

 
 
 

2) Number of trials =210, Probability of success =1/10

 
 
 

3) Number of trials =27, Probability of success =0.2

 
 
 
check_circleAnswer
Step 1

From the given information it is needed to calculate the expected number of successes.

The formula for expected number of successes in n trial is:

E(X) np, where p is the probability of success
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E(X) np, where p is the probability of success

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Step 2

In case (1)

n=20 and p=0.8

so,

Е(X) - пр
-20(0.8)
16
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Е(X) - пр -20(0.8) 16

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Step 3

In case (2)

n=210 and p=0.1

so...

Е(X) - пр
-210(0.1)
21
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Е(X) - пр -210(0.1) 21

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