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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.

b) Find the probability that a randomly selected Atlantic cod has a length of 51.38 cm or more.

c) Find the probability that a randomly selected Atlantic cod has a length of 55.18 cm or less.

d) Find the probability that a randomly selected Atlantic cod has a length between 51.38 and 55.18 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?

g) What length do 56% 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.

Question HelpQuestion 1:

- Video 1
- Video 2
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- Video 4 Tutorial to how to answer this question using technology (StatCrunch)
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*Unattempted *

## Question 2

*Check * 0/5 pts *Retries * 3 *Reattempts * 99

The mean starting salary for nurses is 67,694 dollars nationally. The standard deviation is approximately 10,333 dollars. Assume that the starting salary is normally distributed.

Round the probabilities to four decimal places.

It is possible with rounding for a probability to be 0.0000.

a) State the random variable.

b) Find the probability that a randomly selected nurse has a starting salary of 78221.8 dollars or more.

c) Find the probability that a randomly selected nurse has a starting salary of 83468.9 dollars or less.

d) Find the probability that a randomly selected nurse has a starting salary between 78221.8 and 83468.9 dollars.

e) Find the probability that randomly selected nurse has a starting salary that is **at most** 41861.5 dollars.

f) Is a starting salary of 41861.5 dollars **unusually low** for a randomly selected nurse?

Why or why not?

g) What starting salary do 66% of all nurses have **more than**?

Round your answer to two decimal places in the first box.

Put the correct units in the second box.

Question HelpQuestion 2:

- Video 1
- Video 2
- Video 3
- Video 4 Tutorial to how to answer this question using technology (StatCrunch)
*Message*Message instructor

*Unattempted *

## Question 3

*Check * 0/5 pts *Retries * 3 *Reattempts * 99

The mean cholesterol level of women age 45-59 in Ghana, Nigeria, and Seychelles is 5.1 mmol/l and the standard deviation is 1.0 mmol/l. Assume that cholesterol levels are normally distributed.

Round the probabilities to four decimal places.

It is possible with rounding for a probability to be 0.0000.

a) State the random variable.

b) Find the probability that a randomly selected woman age 45-59 in Ghana, Nigeria, or Seychelles has a cholesterol level of 3 mmol/l or more.

c) Find the probability that a randomly selected woman age 45-59 in Ghana, Nigeria, or Seychelles has a cholesterol level of 6.3 mmol/l or less.

d) Find the probability that a randomly selected woman age 45-59 in Ghana, Nigeria, or Seychelles has a cholesterol level between 3 and 6.3 mmol/l.

e) Find the probability that randomly selected woman age 45-59 in Ghana, Nigeria, or Seychelles has a cholesterol level that is **at least** 8.6 mmol/l.

f) Is a cholesterol level of 8.6 mmol/l **unusually high** for a randomly selected woman age 45-59 in Ghana, Nigeria, or Seychelles?

Why or why not?

g) What cholesterol level do 78% of all women age 45-59 in Ghana, Nigeria, and Seychelles have **less than**?

Round your answer to two decimal places in the first box.

Put the correct units in the second box.

Question HelpQuestion 3:

- Video 1
- Video 2
- Video 3 Tutorial to how to answer this question using technology (StatCrunch)
*Message*Message instructor

*Unattempted *

## Question 4

*Check * 0/5 pts *Retries * 3 *Reattempts * 99

In the United States, males between the ages of 40 and 49 eat on average 103.1 g of fat every day with a standard deviation of 4.32 g. Assume that the amount of fat a person eats is normally distributed.

Round the probabilities to four decimal places.

It is possible with rounding for a probability to be 0.0000.

a) State the random variable.

b) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption of 106.64 g or grams or more.

c) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption of 112.04 g or grams or less.

d) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption between 106.64 and 112.04 g or grams.

e) Find the probability that randomly selected male in the US between the ages of 40 and 49 has a fat consumption that is **at least** 118.22 g or grams.

f) Is a fat consumption of 118.22 g or grams **unusually high** for a randomly selected male in the US between the ages of 40 and 49?

Why or why not?

g) What fat consumption do 71% of all males in the US between the ages of 40 and 49 have **less than**?

Round your answer to two decimal places in the first box.

Put the correct units in the second box.

Question HelpQuestion 4:

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