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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.

Select an answerrv X = length is normally distributedrv X = a randomly selected Atlantic codrv X = the length of a randomly selected Atlantic codrv X = the mean length of all Atlantic codrv X = the mean length of a sample of Atlantic cod

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?

Select an answeryes, since the probability of having a value of length at least that high is less than or equal to 0.05yes, since the probability of having a value of length at the most that value is less than or equal to 0.05no, since the probability of having a value of length at least that high is less than or equal to 0.05no, since the probability of having a value of length at the most that value is less than or equal to 0.05yes, since the probability of having a value of length at least that high is greater than 0.05yes, since the probability of having a value of length at the most that value is greater than 0.05no, since the probability of having a value of length at least that high is greater than 0.05no, since the probability of having a value of length at the most that value is greater than 0.05

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.

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Question 2

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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.

Select an answerrv X = the mean starting salary of all nursesrv X = the starting salary of a randomly selected nurserv X = a randomly selected nurserv X = the mean starting salary of a sample of nursesrv X = starting salary is normally distributed

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?

Select an answeryes, since the probability of having a value of starting salary at least that high is less than or equal to 0.05yes, since the probability of having a value of starting salary at the most that value is less than or equal to 0.05no, since the probability of having a value of starting salary at least that high is less than or equal to 0.05no, since the probability of having a value of starting salary at the most that value is less than or equal to 0.05yes, since the probability of having a value of starting salary at least that high is greater than 0.05yes, since the probability of having a value of starting salary at the most that value is greater than 0.05no, since the probability of having a value of starting salary at least that high is greater than 0.05no, since the probability of having a value of starting salary at the most that value is greater than 0.05

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.

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Question 3

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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.

Select an answerrv X = cholesterol level is normally distributedrv X = the cholesterol level of a randomly selected woman age 45-59 in Ghana, Nigeria, or Seychellesrv X = the mean cholesterol level of all women age 45-59 in Ghana, Nigeria, and Seychellesrv X = the mean cholesterol level of a sample of women age 45-59 in Ghana, Nigeria, and Seychellesrv X = a randomly selected woman age 45-59 in Ghana, Nigeria, or Seychelles

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?

Select an answeryes, since the probability of having a value of cholesterol level at least that high is less than or equal to 0.05yes, since the probability of having a value of cholesterol level at the most that value is less than or equal to 0.05no, since the probability of having a value of cholesterol level at least that high is less than or equal to 0.05no, since the probability of having a value of cholesterol level at the most that value is less than or equal to 0.05yes, since the probability of having a value of cholesterol level at least that high is greater than 0.05yes, since the probability of having a value of cholesterol level at the most that value is greater than 0.05no, since the probability of having a value of cholesterol level at least that high is greater than 0.05no, since the probability of having a value of cholesterol level at the most that value is greater than 0.05

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.

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Question 4

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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.

Select an answerrv X = the fat consumption of a randomly selected male in the US between the ages of 40 and 49rv X = the fat consumption of a sample of males in the US between the ages of 40 and 49rv X = fat consumption is normally distributedrv X = the mean fat consumption of all males in the US between the ages of 40 and 49rv X = a randomly selected male in the US between the ages of 40 and 49

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?

Select an answeryes, since the probability of having a value of fat consumption at least that high is less than or equal to 0.05yes, since the probability of having a value of fat consumption at the most that value is less than or equal to 0.05no, since the probability of having a value of fat consumption at least that high is less than or equal to 0.05no, since the probability of having a value of fat consumption at the most that value is less than or equal to 0.05yes, since the probability of having a value of fat consumption at least that high is greater than 0.05yes, since the probability of having a value of fat consumption at the most that value is greater than 0.05no, since the probability of having a value of fat consumption at least that high is greater than 0.05no, since the probability of having a value of fat consumption at the most that value is greater than 0.05

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.

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