A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 209-cm and a standard deviation of 0.9-cm. For shipment, 6 steel rods are bundled together.

Find the probability that the average length of a randomly selected bundle of steel rods is between 208.7-cm and 209-cm.

P(208.7-cm <M< 209-cm) =

Enter your answer as a number accurate to 4 decimal places. Answers obtained using exactz-scores orz-scores rounded to 3 decimal places are accepted.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 196.2-cm and a standard deviation of 1.8-cm. For shipment, 12 steel rods are bundled together.

Find the probability that the average length of a randomly selected bundle of steel rods is greater than 197.6-cm.

P(M> 197.6-cm) =

Enter your answer as a number accurate to 4 decimal places. Answers obtained using exactz-scores orz-scores rounded to 3 decimal places are accepted.

The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 35 liters, and standard deviation of 3 liters.

A) What is the probability that daily production isbetween33.6 and 40.9 liters? Do not round until you get your your final answer.

Answer=(Round your answer to 4 decimal places.)

Warning: Do not use the Z Normal Tables...they may not be accurate enough since WAMAP may look for more accuracy than comes from the table.

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 54.3 inches, and standard deviation of 3.3 inches.

A) What is the probability that a randomly chosen child has a height oflessthan 48.85 inches?

Answer=(Round your answer to 3 decimal places.)

B) What is the probability that a randomly chosen child has a height ofmorethan 48.8 inches?

Answer=(Round your answer to 3 decimal places.)

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 65 ounces and a standard deviation of 10 ounces.

Use the Empirical Rule, find

a) 99.7% of the widget weights lie betweenand

b) What percentage of the widget weights lie between 55 and 95 ounces?%

c) What percentage of the widget weights lie above 45 ?%

Suggestion: sketch the distribution in order to answer these questions.

The television showSeptember Roadhas been successful for many years. That show recently had a share of 32, which means, that among the TV sets in use, 32% were tuned toSeptember Road.An advertiser wants to verify that 32% share value by conducting its own survey, and a pilot survey begins with 10 households have TV sets in use at the time of aSeptember Roadbroadcast.

Find the probability that none of the households are tuned toSeptember Road.

P(none) =

Find the probability that at least one household is tuned toSeptember Road.

P(at least one) =

Find the probability that at most one household is tuned toSeptember Road.

P(at most one) =

If at most one household is tuned toSeptember Road, does it appear that the 32% share value is wrong? (Hint: Is the occurrence of at most one household tuned toSeptember Roadunusual?)

• yes, it is wrong
• no, it is not wrong

A poll is given, showing 40% are in favor of a new building project.

If 4 people are chosen at random, what is the probability that exactly 1 of them favor the new building project?

Here again is the probability distribution of Y, the number of defective parts in an hour in Yves' production line:

Y

Y

01234P

(

Y

=

y

)

P(Y=y)

.05.05.10.75.05

What is the expected number of defective parts in an hour?

• 2
• .2
• 2.7
• .54

With one method of a procedure calledacceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. The ABC Electronics Company has just manufactured 1500 write-rewrite CDs, and 150 are defective. If 5 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted?

Rounded to four decimal place accuracy.

prob =

A test was given to a group of students. The grades and gender are summarized below

ABCTotalMale1862044Female4151433Total22213477

If one student is chosen at random from those who took the test,

Find the probability that the student got a 'C' GIVEN they are female.