Poisson Distribution

1.There are 17 blue, 5 green, and 3 red balls in a jar. We randomly select a ball and return it back to the jar. We repeat it 8 times. To find the probability of the event that every time we get a green ball we need to use the following distribution:

binomial with number of trials 8 and probability of success 0.2

binomial with number of trials 25 and probability of success 0.5

binomial with number of trials 5 and probability of success 0.2

binomial with number of trials 8 and probability of success 0.8

binomial with number of trials 8 and probability of success 1/3

Poisson Distribution with average 5

Poisson Distribution with average 8

binomial with number of trials 25 and probability of success 0.2

2. The average number of homes with 3 or more bedrooms sold by Acme Reality is 14 homes per week. To find the probability that exactly 3 such homes will be sold tomorrow we need to use the following distribution:

Poisson distribution with mean 2

Poisson distribution with mean 14

Poisson distribution with mean 7

Poisson distribution with mean 3

Binomial with number of trials 7 and probability of success 2/7

Binomial with number of trials 2 and probability of success 2/7

Binomial with number of trials 7 and probability of success 1/7

Standard normal distribution

3. A random variable X assumes values 1,2,3,…, 8,9,and 10, each with the same probability, namely the probability 0.1. Find the probability of X getting at least 3.

4. A random variable X assumes values 1,2,3,…, 8,9,10, each with the same probability, namely the probability 0.1. Find the probability of X getting no more than 4.

5. A card is drawn, with replacement, from a regular deck of cards 16 times. Let random variable X represent number of clubs among those 16 cards selected (there are 13 clubs in every deck; there are 52 cards in a deck). Find the variance of X,