1. Use the binomial formula to calculate the probability of the indicated event to 3 significant digits: n = 5, p = 0.2, P(X 2)

P(X 2) = ?

2. Analyze the following scenarios and complete the following instructions:

An E.R. nurse typically sees an average of 35 patients in a 12-hour day shift. What is the probability that the nurse will see exactly 32 patients on a given 12-hour day shift?

i. Determine which probability distribution should be used to model the scenario. Binomial, Hypergeometric, Geometric, or Poisson.

ii. Calculate the probability of the indicated event. P(32)=?

Round your answer to three decimal places.

iii. Determine the expected value and standard deviation of the random variable.

= ?

= ?

3. Assume XX has a binomial distribution. Use the binomial formula, tables, or technology to calculate the probability of the indicated event:

a. n=9,p=0.49n=9,p=0.49

P(X=2)=?

Round to four decimal places if necessary

b. n=6,p=0.32

P(X=2)=?

Round to four decimal places if necessary

4. An E.R. nurse typically sees an average of 37 patients in a 12-hour day shift. What is the probability that the nurse will see exactly 27 patients on a given 12-hour day shift? Use the Poisson distribution. P(x)= ? Round your answer to 3 decimal places