Ask questions, share knowledge, and connect with a vibrant community on IDNLearn.com. Our platform offers reliable and comprehensive answers to help you make informed decisions quickly and easily.
Sagot :
Answer:
Step-by-step explanation:
X = 10 → 2 nickels
P(1st Nickel) = 5/16
P(2nd Nickel) = 4/15
P(X = 10) = P(2 nickels) = (5/16)*(4/15) = 20/240 = 0.08333 (8.333%)
The probability of selecting 2 nickels ($0.10) is 0.08333.
X = 11 → dime and penny
P(Dime) = 3/16
P(Penny) = 8/15
P(X = 11) = P(Dime and Penny) = (3/16)*(8/15) = 24/240 = 0.1 (10%)
You could also choose penny first and then a dime. This will give you the same probability.
P(Penny) = 8/16
P(Dime) = 3/15
P(X = 11) = P(Penny and Dime) = (8/16)*(3/15) = 24/240 = 0.1 (10%)
P(Dime and Penny) + P(Penny and Dime) = 0.2 (20%)
The probability of selecting a dime and a penny no matter the order is 0.2.
Total Value = 8(0.01) + 5(0.05) + 3(0.10) = 0.08 + 0.25 + 0.30 = $0.63
There are a total of 16 coins and you selected 2 coins from the jar. So the probability of selecting 2 coins from the jar is 2/16 or 0.125.
E[X] = ($0.63)*(2/16) = $0.07875
The expected value is about 8 cents.
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your questions are important to us at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.
