Question

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

1. Which of the following about the binomial distribution is not a true statement?     

A) The probability of the event of interest must be constant from trial to trial.

B) Each outcome is independent of the other.

C) The variable of interest is continuous.

D) Each outcome may be classified as either "event of interest" or "not event of interest."

2. In a binomial distribution

               

A) the probability of event of interest π is stable from trial to trial.

B) the variable X is continuous.

C) the results of one trial are dependent on the results of the other trials.

D) the number of trials n must be at least 30.

3. If n = 10 and π = 0.70, then the mean of the binomial distribution is

A) 1.45.                 B) 14.29.               C) 7.00.                 D) 0.07.

4) If n = 10 and π = 0.70, then the standard deviation of the binomial distribution is             

A) 7.00.                 B) 14.29.               C) 0.07.                 D) 1.45.

5) True or False: The diameters of 10 randomly selected bolts have a binomial distribution.              

A) True                 B) False

6) True or False: Suppose that a judge's decisions follow a binomial distribution and that his verdict is incorrect 10% of the time. In his next 10 decisions, the probability that he makes fewer than 2 incorrect verdicts is 0.736.      

A) True                 B) False

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

7) If X has a binomial distribution with n = 4 and p = 0.3, then P(X = 1) = ________ .              

8) If X has a binomial distribution with n = 4 and p = 0.3, then P(X > 1) = ________.

9) If X has a binomial distribution with n = 5 and p = 0.1, then P(X = 2) = ________.

10) Thirty-six of the staff of 80 teachers at a local intermediate school are certified in Cardio-Pulmonary Resuscitation (CPR). In 180 days of school, about how many days can we expect that the teacher on bus duty will likely be certified in CPR?     1

A) 65 days           B) 45 days            C) 81 days           D) 5 days

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

SCENARIO 5-1

The probability that a particular type of smoke alarm will function properly and sound an alarm in the presence of smoke is 0.8. You have 2 such alarms in your home and they operate independently.

11) Referring to Scenario 5-1, the probability that both sound an alarm in the presence of smoke is ________.           

12) Referring to Scenario 5-1, the probability that neither sound an alarm in the presence of smoke is ________.      

13) Referring to Scenario 5-1, the probability that at least one sounds an alarm in the presence of smo

Answer 1

1. The variable of interest is continuous is not a true statement. Option :C

2.   the probability of event of interest π is stable from trial to trial. option:A

3. mean =n = 10*0.7 = 7. Option: C

4.SD =   = = 1.45. Option  A