Question

# True or False: 10. The probability of an event is a value which must be greater...

True or False:

10. The probability of an event is a value which must be greater than 0 and less than 1.

11. If events A and B are mutually exclusive, then P(A|B) is always equal to zero.

12. Mutually exclusive events cannot be independent.

13. A classical probability measure is a probability assessment that is based on relative frequency.

14. The probability of an event is the product of the probabilities of the sample space outcomes that correspond to the event.

15. If events A and B are independent, then P(A|B) is always equal to P(A).

16. Events that have no sample space outcomes in common and, therefore cannot occur simultaneously are referred to as mutually independent events.
17. The binomial experiment consists of n independent, identical trials, each of which results in either success or failure and the probability of success changes from trial to trial.
18. The standard deviation of a binomial distribution is np(1-p).

19. In a binomial distribution the random variable X is discrete.

20. The standard deviation and mean are the same for the standard normal distribution.

21. In a statistical study, the random variable X = 1, if the house is colonial and X = 0 if the house is not colonial, then it can be stated that the random variable is continuous.

22. For a continuous distribution, P(X ≤ 10) is the same as P(X<10).

23. For a continuous distribution, the exact probability of any particular value is always zero.

24. For a binomial probability experiment, with n = 60 and p =.2, it is appropriate to use the normal approximation to the binomial distribution without continuity correction.

25. All continuous random variables are normally distributed.