Assume that the box contains balls numbered from 1 through 26, and that 3 are selected. A random variable XX is defined as 1 times the number of odd balls selected, plus 2 times the number of even.
How many different values are possible for the random variable XX?
Fill in the table below to complete the probability density function. Be certain to list the values of XX in ascending order.
Value of X  Probability 








N
As per the question, the number can be either odd or even and 3 are selected
So total possible combinations are 23= 8
Out of 26, there are 13 odd and ...
Q: If S = {a, b, c} with P(a) = 6P(b) = 7P(c), find P(a).
A: To work out the required probability , using the basic equations
Q: Let E, F and G be three events in S with P(E) = 0.4, P(F) = 0.5, P(G) = 0.29, P(E ∩ F) = 0.28, P(E ∩...
A: Given DataP(E) = 0.4, P(F) = 0.5,P(G) = 0.29, P (E ∩ F) = 0.28, P(E ∩ G) = 0.11, P(F ∩ G) = 0.14, an...
Q: Suppose that the random variable X represents the length of a punched part in meters. Let Y be the l...
A: Expected value:For a discrete random variable X, the expected value is the mean of the distribution....
Q: Elizabeth brought a box of donuts to share. There are twodozen (24) donuts in the box, all identi...
A: It is provided that there are twodozen donuts in the box and all are identical in size, shape, and ...
Q: Three components are connected to form a system as shown in the accompanying diagram. Because the co...
A: Sample space = {SSS, SSF, SFS, SFFF,FSS, FSF, FFS, FFF} a) As per the questionThere should be exactl...
Q: If P(B) = 0.3, P(A or B)= .06, and P(A and B)= .2, find P(A)
A: From the properties of probability, for any two events A and B we have
Q: Express the number in scientific notation. 0.17 = (Use scientific notation. Use the multiplication...
A: According to scientific notation any number is written from 1 to 10 and exponent to the base 10 is e...
Q: A total of 20 children, 14 men, and 12 women entered a raffle drawing. If the winner is randomly sel...
A: Total of men and women is given by 14+12=26Total of children, men and women is given by 20+14+12=46H...
Q: Find the median for the data items in the given frequency distribution Score, X Frequency, f 6 4 6 2...
A: First, we will find the sum of the given frequency and then will check at which position the score w...