PROBABILITY AND STATISTICS

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

      [removed] An incorrect assignment.
      [removed]
 Very likely to happen
      [removed]
 No chance of happening
      [removed]
 Very little chance of happening

 

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

      [removed] 0.25
      [removed]
 0.50
      [removed]
 0.75
      [removed]
 0.33

 

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

Blood group

O

A

B

AB

No.of persons

2

5

7

1


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

      [removed] 2/15
      [removed]
 3/5
      [removed]
 1/15
      [removed]
 ½

 

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)

      [removed] 0.25
      [removed]
 0.5
      [removed]
 0.75
      [removed]
 1.0

 

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)

      [removed] 0.45
      [removed]
 0.50
      [removed]
 0.44
      [removed]
 0.73

 

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)

      [removed] 210
      [removed]
 330
      [removed]
 400
      [removed]
 350

 

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)

      [removed] 175
      [removed]
 444
      [removed]
 222
      [removed]
 150

 

Question 8.8. In given case, find the probability of x successes in 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)

      [removed] 0.444
      [removed]
 0.333
      [removed]
 0.666
      [removed]
 0.521

 

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)

      [removed] 0.7321
      [removed]
 0.6867
      [removed]
 .6693
      [removed]
 .8934

 

Question 10.10.  

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

      [removed] Very likely to happen.
      [removed]
 As much chance of occurring as not.
      [removed]
 No chance of happening.
      [removed]
 An incorrect assignment. 

 

 



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

      [removed] Z = (x-4)/12
      [removed]
 Z = (12-x)/4
      [removed]
 z = (x-12)/4
      [removed]
 Z = (x+12)/4

 

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)

      [removed] 0455
      [removed]
 .9535
      [removed]
 .0465
      [removed]
 .9585

 

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

      [removed] .0099
      [removed]
 .0102
      [removed]
 .9901
      [removed]
 .4901

 

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)

      [removed] 0.3300
      [removed]
 0.3400
      [removed]
 0.3500
      [removed]
 0.3600

 

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)

      [removed] 0.1587
      [removed]
 0.0968
      [removed]
 0.1459
      [removed]
 0.9032

 

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)

      [removed] 0.1819
      [removed]
 0.7826
      [removed]
 0.8347
      [removed]
 0.8181

 

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)

      [removed] 12
      [removed]
 53
      [removed]
 5.3
      [removed]
 10

 

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)

      [removed] 2.7
      [removed]
 .3
      [removed]
 3.0
      [removed]
 1.7

 

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)

      [removed] 4%
      [removed]
 84%
      [removed]
 98%
      [removed]
 2%

 

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)

      [removed] 1.7%
      [removed]
 2.3%
      [removed]
 1.3%
      [removed]
 2.5%

 

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    • Match the proposed probability ofAwith the appropriate verbal description.

      P(A) =.02 (Points : 1)

      [removed]An incorrect assignment.