Question

Are these answers correct?

1. Counting rules Aa Aa For each of the following experiments,identify the counting rule that is relevant for determining the number of experimental outcomes. Then use the counting rule to find the number of sample points for the experiment. Experiment Counting Rule for.. Number of Experimental Outcomes Multiple-Step Experiments A plant manager randomly selects a 6 can of peas from the assembly line and records whether or not the can's label is properly attached, followed by the weight of the can (as less than 14 ounces, exactly 14 ounces, or more than 14 ounces). Three females (A, B, and C) and six males are registered with an online dating service. The service matches couples by random selection: The first Permutations 6 male selected is matched with female A, the second with female B, and the third with female C Combinations A stockbroker forms a stock portfolio for a client by randomly selecting three stocks from a pool of five.

Answer 1

1. Multiple step experiment

Number of outcomes = 2 x 3 = 6

2. Permutation (order of selection is important)

nPr = n!/(n-r)!

Number of outcomes = 6P3

= 6!/3!

= 120

3. Combination

nCr = n!/(r! x (n-r)!)

Number of outcomes = 5C3

= 5!/(3! x 2!)

= 10