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1.) You are performing 7 independent Bernoulli trials with p = 0.4 and q = 0.6 . Calculate the probability of the stated outcome. Check

1.) You are performing7independent Bernoulli trials withp=0.4andq=0.6. Calculate the probability of the stated outcome. Check your answer using technology. (Round your answer to five decimal places.)

At least three successes

P(X3) =

2.) You are performing5independent Bernoulli trials withp=0.1andq=0.9. Calculate the probability of the stated outcome. Check your answer using technology. (Round your answer to five decimal places.)

No failures

P(X=5) =

3.) In the exercise,Xis a binomial variable withn=4andp=0.1. Compute the given probability. Check your answer using technology. HINT [See Example 2.] (Round your answer to five decimal places.)

P(X2)

4.) In the exercise,Xis a binomial variable withn=5andp=0.2. Compute the given probability. Check your answer using technology. HINT [See Example 2.] (Round your answer to five decimal places.)

P(X=3)

5.) The probability that a randomly selected teenager watched a rented video at least once during a week was0.65. What is the probability that at least7teenagers in a group of9watched a rented movie at least once last week? (Round your answer to four decimal places.)

P(X7) =

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