Suppose that a satellite defense system has 3 satellites that operate independently.  Each satellite has a .94 probability of detecting an incoming ballistic missile. A test missile is fired to determine the reliability of this defense system. The random variable X =  the number of satellites that detect the test missile.  Determine the probability distribution for the random variable X.

A jar contains 6 pennies, 7 nickels and 7 dimes. A child selects 2 coins at random without replacement from the jar. Let X represent the amount in cents of the selected coins. Find the probability X = 10. Find the probability X = 11. Find the expected value of X.

Oliver has a bag that contains pineapple chews, lemon chews, and peach chews. He performs an experiment. Oliver randomly removes a chew from the bag, records the result, and returns the chew to the bag. Oliver performs the experiment 23 times. The results are shown below: A pineapple chew was selected 17 times. A lemon chew was selected 4 times. A peach chew was selected 2 times. Based on these results, express the probability that the next chew Oliver removes from the bag will be peach chew as a percent to the nearest whole number.

A crate contains 50 led light of which 5 are defective and 45 are not. A Quality Control Inspector randomly samples 12 led light without replacement. Let X be the number of defective led light selected. Find the probability that less than 2 led light are defective. Determine the probability distribution to solve this problem.