Question

The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm. Round the probabilities to four decimal places. It is possible with rounding for a probability to be 0.0000.

a) State the random variable. rv X = the length of a randomly selected Atlantic cod Correct

b) Find the probability that a randomly selected Atlantic cod has a length of 45.68 cm or more.

c) Find the probability that a randomly selected Atlantic cod has a length of 52.08 cm or less.

d) Find the probability that a randomly selected Atlantic cod has a length between 45.68 and 52.08 cm.

e) Find the probability that randomly selected Atlantic cod has a length that is at least 62.99 cm

. f) Is a length of 62.99 cm unusually high for a randomly selected Atlantic cod? Why or why not? Select an answer

g) What length do 64% of all Atlantic cod have more than? Round your answer to two decimal places in the first box. Put the correct units in the second box.

Answer 1

Solution:

(a)

The length of Atlantic cod caught in nets

(b)

  

  

(c)

(d)

  

  

  

(e)

  

  

  

  

(f)

Here

Here Z-Score is greater than 3

62.99 is unusally high

(g)

but

  

51.25

cm