# Math

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. 👍
2. 👎
3. 👁
1. 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 :)

1. 👍
2. 👎
2. 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.

1. 👍
2. 👎

## Similar Questions

1. ### Math

This month Carla caught the following fish in Lake George, 24 trout, 41 sunfish, 12 perch and 23 blue gills. If Carla catches another fish this month, what is the probability of her catching a trout? A. about 1/2 B. about 1/4 C.

2. ### Math

If 5 fishermen catch 5 fish in 5 minutes, how many minutes will it take 50 fishermen to catch 50 fish? If 5 fishermen catch 5 fish in 5 minutes, then the average time it takes each fisherman is 5 minutes to catch one fish. It will

3. ### math

An estimate of the fish population of a certain pond was found by catching 200 fish and marking and returning them to the pond. The next day, 300 fish were caught, of which 50 had been marked the previous day. Estimate the fish

4. ### Career

1. Jovanna has determined that she wouldn't want to be a nurse because she really doesn't like the sight of blood and she tends to not work well under pressure. Which stage of career matching is she in? (1 point) eliminating

1. ### science PLZZZ HELP

The pedigree above shows the family history of the recessive blood disorder sickle-cell anemia. What are the chances of the child I having the disease or carrying the gene for the disease? A. Child I has no chance of having the

2. ### statistics

A biologist estimates that 80% of the deer in a region carry a certain type of tick. For a sample of 300 deer selected at random what is the chance that 246 or fewer deer have this tick?

3. ### World Geography

1. During the late 18th and mid-19th centuries, Europeans and North Americans were attracted to nearby coastal waters due to potential economic gains from? A.) Catching trout and cod fish. B.) Catching seals and whales. C.)

4. ### PROB

Researchers at the University of Pennsylvania School of Medicine have determined that children under 2 years old who sleep with the lights on have a 36% chance of becoming myopic before they turn 16. Children who sleep in darkness

1. ### poisson distribution math

Mr Lee is planning to go fishing this weekend. Assuming that the number of fish caught per hour follows a Poisson distribution with mean 0.6, find the number of complete hours that Mr Lee needs to fish so that the probability of

2. ### Math

A biologist wants to know the width w of a river so that instruments for studying the pollutants in the water can be set properly. From point A, the biologist walks downstream 100 feet and sights to point C. From the sighting, it

3. ### Biology

My daughter wants to know what is a life span of a clown fish? We've been researching but could not find the answer. Would appreciate any help. Thank you. Emmie According to this website, the life expectancy of a clown fish in a

4. ### Science

A 15kg tuna fish moving horizontally to the right at 5m/s swallows a 2kg fish that is swimming to the left at 7.5 m/s .What is the speed of the tuna fish immediately after,if the force exerted on the fish by the water can be