A biologist has determined that a particular osprey has a 70% chance of catching a fish on any given day. Carry out a simulation of 20 trials using the random number table below to find the probability that the osprey will actually catch a fish on all of the next three days. Explain your method.
945 025 354 793 236
106 746 981 105 012
832 180 250 871 835
793 726 864 496 947
A) Using the digits 0–7 to represent a caught fish, the probability of catching a fish on each of the next three days is 70%.
B) Using the digits 0–7 to represent a caught fish, the probability of catching a fish on each of the next three days is 65%.
C) Using the digits 0–6 to represent a caught fish, the probability of catching a fish on each of the next three days is 35%.
D) Using the digits 0–7 to represent a caught fish, the probability of catching a fish on each of the next three days is 7%.
I know it says to show my work, but I have no clue on how to do this. (Any hints would be awesome.)
1 Never gunna make you cry
2 Never gunna say goodbye
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4 Hurt you
1 5/8
2 Using 0-6, probability on next 3 days is 35%
3 3/8
4 94/54145
5 1/16
Your answer there is actually incorrect Damon. If you look at the answers provided, it says "Using the digits 0–6 to represent a caught fish". So assuming that it's 6 or below, only 7 of the numbers listed are 6 or below. However, the reason yours is wrong is because if we assume 0-7 represents a caught fish.... there are 9 sets of numbers in which all 3 numbers are actually 7 or below which would put it at 45%. So for example...
Random numbers given: Caught fish?(0-7) Caught Fish?(0-6)
945 No No
025 Yes Yes
354 Yes Yes
793 No No
236 Yes Yes
106 Yes Yes
746 Yes No
981 No No
105 Yes Yes
012 Yes Yes
832 No No
180 No No
250 Yes Yes
871 No No
835 No No
793 No No
726 Yes No
864 No No
496 No No
947 No No
So with that being said, in the column where we assume 0-7 represents a caught fish, it's actually a 45% chance based on these numbers. If we assume that it's 0-6, like proven in the second column, it would be 35%. So yes, the answer would be C... just thought I'd clarify that.
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MudMan is right 100%.
Omg MudMan is amazing lmfao
still right in march 2022!!!
mudman is still right! tysm!
mudman is still right in 2023
well, not using the table
.7^3 = .343 so you can be pretty sure that C is correct
now
let the digits of each of those three digit numbers be our test for example. If all three are seven or below, we got a win. There are twenty of those numbers. How many of them have all digits 7 or below?
025
354
236
106 etc
a total of 7 out of the 20 so .35
whew :)