Question

In: Statistics and Probability

Suppose every 10 times you cast your line into a lake you successfully get 3 fish....

Suppose every 10 times you cast your line into a lake you successfully get 3 fish. Assume you cast your line 100 times.

a) What is the probability of successfully catching exactly two fish in this experiment?

b) Calculate or approximate the probability that the number of fish you catch at least 5.

Solutions

Expert Solution

Here 3 fish is found out of 10,so the probability of getting a fish is 0.3.


Related Solutions

Suppose you get cast on the next season of Project Runway and you are about to...
Suppose you get cast on the next season of Project Runway and you are about to begin your first design challenge. Tim Gunn gives you a budget of m = $40 to spend on yards of fabric (x) and spools of thread (y) at Mood (fabric store). The price of a yard of fabric is px and the price of a spool of thread is py. (a) For the particular Project Runway episode, you must only buy fabrics and thread...
Suppose the population of fish in a lake in month t is given by the equation...
Suppose the population of fish in a lake in month t is given by the equation F(t) = 800 − 500e-0.2t (a) Plot the equation for t in the interval [0,24]. (b) Is the function increasing, decreasing or neither? Is it concave up, down, or neither? (c) As t → ∞, F (t) →( ). Fill in the blank and explain what this means in words.
Question 5a Oxygen gas dissolves in lake water. (This is how fish get the oxygen they...
Question 5a Oxygen gas dissolves in lake water. (This is how fish get the oxygen they need to survive.) What happens to the solubility of oxygen gas when it is cold outside? Why does this happen? Chose from the options below. More than one answer could be correct. 1. The solubility does not change. 2. The solubility increases. 3. The solubility decreases. 4. In general, the solubility of gas solutes in liquid solvents increases as temperature decreases. 5. In general,...
You are a news vendor selling the FTU Daily Times every morning. Before you get to...
You are a news vendor selling the FTU Daily Times every morning. Before you get to work, you go to the printer and buy the day’s paper for $0.35 a copy. You sell a copy of the Sun Times for $1.20. Daily demand is distributed normally with mean = 300 and standard deviation = 75. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. How many copies of the FTU Times...
You own two lakes rich in fish. The quantity of fish caught in each lake depends...
You own two lakes rich in fish. The quantity of fish caught in each lake depends on the number of persons who fish in each, according to Q1 = 10N1 - 0.1(N1)^2 and Q2 = 16N2 - 0.4(N2)^2, where N1 and N2 denote the number of fishers at each lake. In all, there are N fishers working for you, each of them is paid a wage w, and the price of fish is P. Write down your optimization problem as...
26. You roll an eight-sided die five times and get a four every time. You suspect...
26. You roll an eight-sided die five times and get a four every time. You suspect that the die favors the number four. The die maker claims that the die does not favor any number. a. Perform a simulation involving 50 trials of rolling the actual die and getting a four to test the die maker’s claim. Display the results in a histogram. b. What should you conclude when you roll the actual die 50 times and get 20 fours?...
You are a researcher studying a certain species of fish in a local lake. You gather...
You are a researcher studying a certain species of fish in a local lake. You gather a random sample of 18 fish of this species and record the lengths (in centimeters) of the fish. The data is displayed in the table below. Estimate the mean length of all fish of this type in the lake. Use a 98% confidence level. 10.8 9.4 7.7 10.9 6.8 8.9 8.3 8.5 8.4 8 11.3 7.9 8.6 8.5 11.1 11.3 8.1 6.9 (Checksum: 161.4)...
suppose 10 students get A's, 2 Students get B's 3 Students get C's, and one student...
suppose 10 students get A's, 2 Students get B's 3 Students get C's, and one student gets an F If a committee is formed with 3 people, what is the probability that there are two people with an A and 1 with a C? What is the probability of selecting a grade A student for the first time on either the 2nd or 3rd selection?
Consider flipping a fair coin 10 times. What is the probability that (a) you get exactly...
Consider flipping a fair coin 10 times. What is the probability that (a) you get exactly 7 heads? (b) you get at least 4 heads? (c) you get two more heads than tails?
How many times of “3” are expected to get in rolling an unloaded dice 50 times?...
How many times of “3” are expected to get in rolling an unloaded dice 50 times? Select one: a. 25 times b. 8 times c. 16.67 times d. 8.33 times
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT