Question

# 1. You are performing 5 independent Bernoulli trials with p = 0.3 and q = 0.7....

1. You are performing 5 independent Bernoulli trials with p = 0.3 and q = 0.7. Calculate the probability of the stated outcome. Check your answer using technology. (Round your answer to four decimal places.)

Two successes

P(X = 2) =

2. You are performing 5 independent Bernoulli trials with p = 0.4 and q = 0.6. Calculate the probability of the stated outcome. Check your answer using technology. (Round your answer to four decimal places.)

Three successes

P(X = 3) =

3. You are performing 3 independent Bernoulli trials with p = 0.2 and q = 0.8. Calculate the probability of the stated outcome. Check your answer using technology. (Round your answer to four decimal places.)

No successes

P(X = 0) =

4. You are performing 6 independent Bernoulli trials with p = 0.1 and q = 0.9. Calculate the probability of the stated outcome. Check your answer using technology. (Round your answer to five decimal places.)

At least three successes

P(X ≥ 3) =

5. You are performing 4 independent Bernoulli trials with p = 0.2 and q = 0.8. Calculate the probability of the stated outcome. Check your answer using technology. (Round your answer to five decimal places.)

No failures

P(X = 4) =

This is the proper solution of your question.

Thank you.

Answer of question no. 1 is 0.3087( up to four decimal place)

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