Answer:
5.38516480713
Step-by-step explanation:
I hope this helps.
Answer:
Our answer is 0.8172
Step-by-step explanation:
P(doubles on a single roll of pair of dice) =(6/36) =1/6
therefore P(in 3 rolls of pair of dice at least one doubles)=1-P(none of roll shows a double)
=1-(1-1/6)3 =91/216
for 12 players this follows binomial distribution with parameter n=12 and p=91/216
probability that at least 4 of the players will get “doubles” at least once =P(X>=4)
=1-(P(X<=3)
=1-((₁₂ C0)×(91/216)⁰(125/216)¹²+(₁₂ C1)×(91/216)¹(125/216)¹¹+(₁₂ C2)×(91/216)²(125/216)¹⁰+(₁₂ C3)×(91/216)³(125/216)⁹)
=1-0.1828
=0.8172
Answer and Step-by-step explanation:
Each package has 12 pencils
total number of pencils Sarah purchased: n = 12p
n = total number of pencils
p = number of packages
n depends on p, because the total number of pencils dependos on how many packages she will buy, so:
independent variable: p
dependent variable: n
╔═══╦══════════╦════╗
║ p ║ n = 12p ║ n ║
╠═══╬══════════╬════╣
║ 3 ║ n = 12*3 ║ 36 ║
╠═══╬══════════╬════╣
║ 4 ║ n = 12*4 ║ 48 ║
╠═══╬══════════╬════╣
║ 5 ║ n = 12*5 ║ 60 ║
╠═══╬══════════╬════╣
║ 6 ║ n = 12*6 ║ 72 ║
╠═══╬══════════╬════╣
║ 7 ║ n = 12*7 ║ 84 ║
╚═══╩══════════╩════╝
Please refer to the other post you saw.
Josh's estimate IS reasonable because when you have a number 5 or above after the decimal, you round up. Although it's reasonable to round up to 5 pounds, the actual amount is 4.5 pounds, or four and a half.