1-Consider a binomial random variable with n = 9 and p = 0.7. Let x be the number of successes in the sample. Evaluate the probability. (Round your answer to three decimal places.)

P(x 3

2- Consider a binomial random variable with n = 6 and p = 0.7. Let x be the number of successes in the sample. Evaluate the probability. (Round your answer to three decimal places.)

P(x 3)

3- Consider a binomial random variable with n = 5 and p = 0.6. Let x be the number of successes in the sample. Evaluate the probability. (Round your answer to three decimal places.)P(x = 3

4- Consider a binomial random variable with n = 6 and p = 0.7. Let x be the number of successes in the sample. Evaluate the probability. (Round your answer to three decimal places.)P(x < 3)

5- Consider a binomial random variable with n = 5 and p = 0.6. Let x be the number of successes in the sample. Evaluate the probability. (Round your answer to three decimal places.)P(3 x 4)

6- Let x be a Poisson random variable with mean ???? = 6. Find the probabilities for x using the Poisson formula. (Round your answers to six decimal places.)

P(x = 0)

P(x = 1)

P(x > 1)

P(x = 5)

7- Let x be a Poisson random variable with ???? = 8.5. Find the probabilities for x using the Poisson formula. (Round your answers to six decimal places.)

P(x = 0)

P(x = 1)

P(x = 2)

P(x 2)

8- Let x be a Poisson random variable with ???? = 0.7. Find the probabilities for x using Table 2. (Round your answers to three decimal places.)

P(x = 0)

P(x 2)

P(x > 2)

P(2 x 4)

9- Let x be a Poisson random variable with ???? = 6. Find the probabilities for x using Table 2. (Round your answers to three decimal places.)

P(x 3)

P(x > 3)

P(x = 3)

P(3 x 5)

10- The number of bankruptcies filed in the district court has a Poisson distribution with an average of 5.5 per week.(a)What is the probability that there will be no bankruptcy filings during a given week? (Round your answer to three decimal places.)(b)What is the probability that there will be at least one bankruptcy filing during a given week? (Round your answer to three decimal places.)(c)Within what limits does Tchebysheff's Theorem suggest you would expect to see the number of bankruptcy filings per week at least 88.88% of the time? (Round your answer up to the nearest whole number.)0 to filings