Please can some one help me with the following:
A fisherman finds that approximately 17% of all his fish go bad by the time he takes them to the market. The fisherman catches 1,000 fish.
A. How many will go bad by the time he takes them to the market?
B. Find the standard deviation.
Thanks!
A. 1000 * .17 = ?
B. Sd = √(1000 * .17 * .83) = ?
I'll let you finish the calculations.
A. To find out how many fish will go bad by the time the fisherman takes them to the market, you can use the percentage.
Step 1: Calculate the number of fish that will go bad by finding 17% of 1,000.
17% of 1,000 = (17/100) * 1,000 = 170
Therefore, approximately 170 fish will go bad by the time the fisherman takes them to the market.
B. To find the standard deviation, we need more information. Specifically, we need to know the variance or the individual weights of the fish, as standard deviation is calculated based on the variances or the differences from the average.
To answer both parts of your question, we can use basic statistical calculations and formulas. Let's go step by step:
A. Finding the number of fish that will go bad:
The fisherman catches 1,000 fish, and approximately 17% of them go bad. To find the number of fish that will go bad, you need to calculate 17% of 1,000.
Solution:
17% of 1,000 = (17/100) x 1,000 = 0.17 x 1,000 = 170
Therefore, approximately 170 fish will go bad by the time the fisherman takes them to the market.
B. Finding the standard deviation:
To find the standard deviation, we need to have a set of data. In this case, we don't have specific data points to calculate the standard deviation. However, we can estimate it based on the proportion of fish that go bad.
To estimate the standard deviation, we need to use the formula for a binomial distribution standard deviation:
Standard deviation = Square root of (n * p * (1 - p))
Where:
n = Sample size (number of fish caught)
p = Probability of an event (proportion of fish going bad)
So, let's calculate the estimated standard deviation:
Solution:
Standard deviation = √(1,000 * 0.17 * (1 - 0.17))
Standard deviation ≈ √(170 * 0.83)
Standard deviation ≈ √140.1
Standard deviation ≈ 11.83 (rounded to two decimal places)
Therefore, the estimated standard deviation is approximately 11.83.