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.

Question description

1. The following is suppose to represent probability distribution table. What is the missing value?

X

P(X)

3

0.4

5

0.5

9

?

2. Find the expected value of X using the table below.

X

P(X)

0

0.4

1

0.3

─1

0.3

3. If the standard deviation of a random variable is 5,what is its variance?

4. Any normal distribution is

continuous

discrete

5.

some are discrete, some are continuous

a binomial distribution

6.

is Poisson distribution

5. Let X be a binomial random variable with number of trials 100 and expected value 20. What is the probability of success of X?

6. 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