Question
In: Statistics and Probability
Suppose that the weights of a certain type of bear are normally distributed with mean 321 ...
Suppose that the weights of a certain type of bear are normally distributed with mean 321 lbs and standard deviation 25 lbs. If three such bears are randomly selected, find the probability that exactly one of them has a weight that is less than 342 lbs.
answer correct to 4 decimal places
Solutions
Expert Solution
Solution :
Given that,
mean = 
= 321
standard deviation = 
= 25
n = 3
=321
= /
n = 25/
3=14.43
P(
<342 ) = P[(
-
) /
< (342-321) /14.43 ]
= P(z <1.46 )
Using z table
= 0.9279
probability= 0.9279
orchestra answered 2 years agoRelated Solutions
Suppose that the weights of a certain type of bear are normally distributed with mean 332 ...
Suppose that the weights of a certain type of bear are normally
distributed with mean 332 lbs and standard deviation 24 lbs. If
three such bears are randomly selected, find the probability that
exactly two of them have a weight that is less than 354 lbs. (4
decimals)
suppose certain coins have weights that are normally distributed with a mean of 5.441 g and...
suppose certain coins have weights that are normally distributed
with a mean of 5.441 g and a standard deviation of 0.071 g a
vending machine is configured to accept those coins with weights
between 5.301 g and 5.581 g if 270 different coins are inserted
into the vending machine what is the expected number of rejected
coins?
Suppose certain coins have weights that are normally distributed with a mean of 5.629 g and...
Suppose certain coins have weights that are normally distributed
with a mean of 5.629 g and a standard deviation of 0.056 g. A
vending machine is configured to accept those coins with weights
between 5.559 g and 5.699 g.
b. If 280 different coins are inserted into the vending
machine, what is the probability that the mean falls between the
limits of 5.559 g and 5.699 g?
The probability is approximately ? (Round to four decimal
places as needed.)
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally
distributed with a mean of 20 lb and a standard deviation of 9. If
9 fish are randomly selected, what is the probability that the mean
weight will be between 17.6 and 23.6 lb? Write your answer as a
decimal rounded to 4 places.
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally
distributed with a mean of 9.4 lb and a standard deviation of 2.3.
If 42 fish are randomly selected, what is the probability that the
mean weight will be more than 9.7 lb?
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally
distributed with a mean of 13 pounds and a standard deviation of 6.
If a sample of 9 fish are randomly selected, what is the
probability that the mean weight will be between 10.2 and 16.6
pounds?
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally
distributed with a mean of 9.9 lb and a standard deviation of 2.1.
If 75 fish are randomly selected, what is the probability that the
mean weight will be between 7.7 and 10.4 lb?
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally
distributed with a mean of 15.2 pounds and a standard deviation of
4 pounds. If 6 fish are randomly selected, find the probability
that the mean weight is between 13.6 and 17.6 pounds.
Round your answer 4 places after the decimal
point.
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally
distributed with a mean of 20 lb and a standard deviation of 9.
a. If one fish is randomly selected, what is the probability
that the mean weight will be between 17.6 and 23.6 lb?
b. If 9 fish are randomly selected, what is the probability that
the mean weight will be between 17.6 and 23.6 lb?
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally
distributed with a mean of 15.9 pounds and a standard deviation of
5.1 pounds. If 5 fish are randomly selected, find the probability
that the mean weight is between 11.4 and 18.6 pounds. Round your
answer 4 places after the decimal point.
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- What is bankruptcy? What is the difference between liquidation and reorganization? What is the main benefit...
- How can technology harm or create injustice and negative impacts for women, the poor, people of...
- The Sheridan Department of Transportation has issued 25-year bonds that make semiannual coupon payments at a...
- During the late Gilded Age the British invented the world's first all steel, all big gun...
- C -Language Create a simple calculator that performs addition, subtraction, multiplication, and division. Your program should...
- A palindrome prime is a prime number that reads the same forwards or backwards. An example...
- # Compare two Xml_ file in C# and extract the difference between them in other xml_file...
ADVERTISEMENT