basic probability
A bag contains 4 yellow, 2 red, and 6 green marbles. Two marbles are drawn. The first is replaced before the second is drawn. A random variable assigns the number of red marbles to each outcome. Calculate the expected value of the random variable.
.33
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 649-13-03-00-00_files/i0170000.jpg. an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome. Calculate the expected value of the random variable
a
A doctor has assigned the following chances to a medical procedure. full recovery 55% condition improves 24% no change 17% condition worsens 4% Suppose the procedure is performed on 5 patients. Assume that the procedure is independent for each patient. What is the probability that all five patients will recover completely?
a
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 649-13-03-00-00_files/i0170000.jpg. an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome. Calculate the expected value of the random variable
a- 3/4
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome. What is the probability that the random variable has an outcome of 0?
b
For the spinner above, the probability of landing on black is 1/2 and the probability of landing on red is 1/3. Suppose it is spun three times. What is the probability of the outcome (black, white, red)?
b
Suppose that outcomes C and D have the same probability. Complete the probability distribution.
b
What is the probability of the outcome (not A)?
b- .5
Which is the expected value of the random variable with the given probability distribution?
b-17.2
What is the probability of the outcome (A or B)?
c- .8
Which is the expected value of the random variable with the given probability distribution?
c- 1.5
none of the patients will get worse
c- 81.5%
Which is the expected value of the random variable with the given probability distribution?
c-1.5
A bag contains 4 yellow, 2 red, and 6 green marbles. Two marbles are drawn. The first is replaced before the second is drawn. A random variable assigns the number of red marbles to each outcome. Calculate the expected value of the random variable.
d
for the spinner above, the probability of landing on black is 1/2, and the probability of landing on red is 1/3. Suppose it is spun three times. What is the probability it will land on black all three times?
d
outcome of 3
d 0
A bag contains 5 yellow, 6 red, and 4 green marbles. Two marbles are drawn. The first is replaced before the second is drawn. A random variable assigns the number of green marbles to each outcome. Calculate the expected value of the random variable.
d- .53
