A box has 20 products (including 15 good products and 5 bad products). From the box to get Randomly 3 products. Let X be the number of good products out of the 3 products.
a. Make a table of the probability distribution for X. Write the density function and the distribution function
for X.
b. Find the expectation and variance, the most confident value for X.
c. Let Y = 2X − 2. Find the expectation and variance for Y.

Me what is the value of x? showing work would be appreciated - ! : )

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.

Which number line correctly shows 0.8 + 0.3?