A binomial event has n = 60 trials. The probability of success for each trial is 0.20. Let x be the number of successes of the event during the 60 trials. What are μx and σx?
48 and 3.0984 48 and 2.1909 60 and 3.0984 12 and 3.0984 12 and 2.1909

12 and 3.0984

Step-by-step explanation:

Lets initially talk a bit about the binomial probability distribution

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

The standard deviation of the binomial distribution is:

A binomial event has n = 60 trials. The probability of success for each trial is 0.20.

So we also have p = 0.2.

Then

[tex]\sigma_{x} = \sqrt{60*0.2*0.8} = 3.0984

So the correct answer is

12 and 3.0984

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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