Normal Distribution Quiz

The weight of beef used in hamburgers at a certain restaurant is normally distributed with a mean of 6 oz. with a standard deviation of 0.4 oz. Let x be the weight of beef in one randomly selected hamburger. Find P(x < 5 oz.).

The weight of beef used in hamburgers at a certain restaurant is normally distributed with a mean of 6 oz. with a standard deviation of 0.4 oz. Let x be the weight of beef in one randomly selected hamburger. Find P(x > 5.5 oz.).

The weight of beef used in hamburgers at a certain restaurant is normally distributed with a mean of 6 oz. with a standard deviation of 0.4 oz. Let x be the weight of beef in one randomly selected hamburger. Find P(6 oz. < x < 7 oz.).

Answer explanation

= NORM.DIST(7,6,0.4,TRUE) - NORM.DIST(6,6,0.4,TRUE)

The weight of beef used in hamburgers at a certain restaurant is normally distributed with a mean of 6 oz. with a standard deviation of 0.4 oz. Let x be the weight of beef in one randomly selected hamburger.

The owner of the restaurant does not want to accidentally use too much beef in the hamburgers because they may run out. She decides that all hamburger patties weighing in the top 5% should be remade. What is the cutoff for the top 5% of weights? Round to two decimal places and include units in your answer.

Answer explanation

=NORM.INV(1-0.05,6,0.4)

The weight of beef used in hamburgers at a certain restaurant is normally distributed with a mean of 6 oz. with a standard deviation of 0.4 oz. Let x be the weight of beef in one randomly selected hamburger.

The cutoff for the bottom 10% of weights is _____. Round your answer to 2 decimal places and include units in your answer.

Answer explanation

=NORM.INV(0.10,6,0.4)

Cholesterol levels in men aged 18-24 are normally distributed with a mean of 178.1 mg/100mL and a standard deviation of 40.7 mg/100mL. What is the probability that the cholesterol level of a randomly selected male, aged 18-24, is lower than 165 mg/100mL?

Answer explanation

NORM.DIST(165, 178.1,40.7,1)

Cholesterol levels in men aged 18-24 are normally distributed with a mean of 178.1 mg/100mL and a standard deviation of 40.7 mg/100mL.

What is the probability that the cholesterol level of a randomly selected male, aged 18-24, is higher than 255 mg/100mL?

Answer explanation

1- NORM.DIST(255, 178.1,40.7,1)

Cholesterol levels in men aged 18-24 are normally distributed with a mean of 178.1 mg/100mL and a standard deviation of 40.7 mg/100mL.

What is the probability that the cholesterol level of a randomly selected male, aged 18-24, is between 160 and 200

mg/100mL?

Answer explanation

= NORM.DIST(200, 178.1, 40.7, 1) – NORM.DIST(160, 178.1, 40.7, 1)

Cholesterol levels in men aged 18-24 are normally distributed with a mean of 178.1 mg/100mL and a standard deviation of 40.7 mg/100mL.

The cholesterol levels of 400 men aged 18-24 were tested. How many men would you expect to have cholesterol levels lower than 200 mg/100mL? Include units and round your answer to two decimal places.

Answer explanation

= 400*NORM.DIST(200, 178.1, 40.7, 1)