PROBABILITY AND STATISTICS

 Match the proposed probability of A with the appropriate verbal description. 
P(A) =.02 (Points : 1)

Question 2.2. A letter is chosen at random from the word "FOUL". What is the probability that it is a vowel? (Points : 1)

Question 3.3. Fifteen persons reporting to a Red Cross center one day are typed for blood, and the following counts are found:

If one person is randomly selected, what is the probability that this person's blood group is: AB? (Points : 1)

Question 4.4. For two events A and B, the following probabilities are given.

                                                                                           P(A). 
Use the appropriate laws of probability to calculate: 
P(A) = 0.5, P(B) = 0.25, P(A | B) = 0.8 (Points : 1)

Question 5.5. For two events A and B, the following probabilities are given. 
P(A) = 0.4, P(B) = 0.25, P(A | B) = 0.6 
Use the appropriate laws of probability to calculate P(A ∪ B) . (Points : 1)

Question 6.6. Of 11 available candidates for membership in a university committee, 6 are men and 5 are women. The committee is to consist of 4 persons. How many different selections of the committee are possible? (Points : 1)

Question 7.7. Of 11 available candidates for membership in a university committee, six are men and five are women. The committee is to consist of four persons. How many selections are possible if the committee must have two men and two women? (Points : 1)

Question 8.8. In given case, find the probability of x successes in n Bernoulli trials with success probability p for each trial. 

                                                 X = 2  n = 3  p= 0.65
 
Round your answers to three decimal places.  The probability is: (Points : 1)

Question 9.9. About 71% of dog owners buy holiday presents for their dogs. Suppose n = 4 dog owners are randomly selected. Find the probability that three or more buy their dog holiday presents. 
 
Round to four decimal places. (Points : 1)

Question 10.10.  

Match the proposed probability of A with the appropriate verbal description.
                  P(A) = 0.97  (Points : 1)

 Find the standardized variable z if x has Mean 12 and standard deviation 4. (Points : 1)

Question 2.2. Find the area under the standard normal curve to the right of z = 1.68. Round to four decimal places. (Points : 1)

Question 3.3. Find the area under the standard normal curve to the left of z = 2.33 (Points : 1)

Question 4.4. Find the area under the standard normal curve over the interval z = −0.44 to z = 0.44. Compute probabilities using the standard normal table in Appendix B (Table 3). Round the answer to four decimal places. (Points : 1)

Question 5.5. Scores on a certain nationwide college entrance examination follow a normal distribution with a mean of 550 and a standard deviation of 100. Find the probability that a student will score over 680.  Round your answer to four decimal places. (Points : 1)

Question 6.6. Scores on a certain nationwide college entrance examination follow a normal distribution with a mean of 500 and a standard deviation of 100. Find the probability that a student will score between 350 and 620.  Round your answer to four decimal places. (Points : 1)

Question 7.7. A population has mean 53 and standard deviation 12.  Calculate the mean of x bar for a random sample of size 10. (Points : 1)

Question 8.8. A population has mean 69 and standard deviation 8.  Calculate the standard deviation of x bar for a random sample of size 23. (Points : 1)

Question 9.9. Suppose the weights of packages of lettuce coming off a packaging line have a normal distribution with mean 8.1 ounces and standard deviation 0.7 ounce. If every package is labeled 6.7 ounces, what proportion of the packages weigh less than the labeled amount? (Points : 1)

Question 10.10. Suppose the weights of the contents of cans of mixed nuts have a normal distribution with mean 32.6 ounces and standard deviation 0.4 ounce. 
 
If two packages are randomly selected, what is the probability that the average weight is less than 32 ounces? 
 
Round to one decimal place. (Points : 1)