Binomial and Poisson Distribution

At a certain restaurant, there is a 70% probability that the flowers on your table will be yellow. If you are there with a group that is occupying 6 tables, what is the probability that 5 of the tables will have yellow flowers?

• 70%

• 70.6 %

• 30.3 %

• 5.0 %

The random variable, X has the binomial distribution X~B(9,0.25), find P(X=4)

• 0.1657

• 0.1168

• 0.2336

• 0.3504

The random variable Y has binomial distribution Y~B(10,0.4). Find P(3<Y<6)

• 0.6665

• 0.7779

• 0.4515

• 0.2508

If X~Po(1.8), find P(2≤X≤4)

• 0.4285

• 0.7983

• 0.5008

• 0.7260

If X~Po(λ) and P(X=0) = 0.0025, find λ.

• 5

• 0

• 4

• 6

Find the mean of a binomial distribution with n=50 and p=0.4

• 50

• 4

• 20

• 10

Find the variance of a binomial distribution with 50 trials and p= 0.4

• 12

• 15

• 10

• 20

Find the standard deviation of a binomial distribution with n=50 and p=0.4 (Round to the nearest tenth)

• 4.2

• 3.5

• 12.0

• 6.2