Exam 30: The Normal Approximation to the Binomial Distribution

True or False: As a general rule,one can use the normal distribution to approximate a binomial distribution whenever the sample size is at least 15.

True or False: As a general rule,one can use the normal distribution to approximate a binomial distribution whenever the sample size is at least 30.

True or False: To determine the probability of getting more than 3 events of interest in a binomial distribution,you will find the area under the normal curve for X = 3.5 and above.

The probability that a particular brand of smoke alarm will function properly and sound an alarm in the presence of smoke is 0.8.A batch of 100,000 such alarms was produced by independent production lines.Which of the following distributions would you use to figure out the probability that at least 90,000 of them will function properly in case of a fire?

TABLE 6-7 A company has 125 personal computers.The probability that any one of them will require repair on a given day is 0.15. -Referring to Table 6-7 and assuming that the number of computers that requires repair on a given day follows a binomial distribution,compute the probability that there will be between 25 and 30 computers that require repair on a given day using a normal approximation.

TABLE 6-7 A company has 125 personal computers.The probability that any one of them will require repair on a given day is 0.15. -Referring to Table 6-7 and assuming that the number of computers that requires repair on a given day follows a binomial distribution,compute the probability that there will be more than 25 computers that require repair on a given day using a normal approximation.

TABLE 6-7 A company has 125 personal computers.The probability that any one of them will require repair on a given day is 0.15. -Referring to Table 6-7 and assuming that the number of computers that requires repair on a given day follows a binomial distribution,compute the probability that there will be more than 25 but less than 30 computers that require repair on a given day using a normal approximation.

TABLE 6-7 A company has 125 personal computers.The probability that any one of them will require repair on a given day is 0.15. -Referring to Table 6-7 and assuming that the number of computers that requires repair on a given day follows a binomial distribution,compute the probability that there will be no more than 8 computers that require repair on a given day using a normal approximation.

Suppose that past history shows that 60% of college students prefer Coca-Cola.A sample of 10,000 students is to be selected.Which of the following distributions would you use to figure out the probability that at least half of them will prefer Coca-Cola?

TABLE 6-7 A company has 125 personal computers.The probability that any one of them will require repair on a given day is 0.15. -Referring to Table 6-7,which of the following is one of the properties required so that the binomial distribution can be used to compute the probability that no more than 2 computers will require repair on a given day?

TABLE 6-7 A company has 125 personal computers.The probability that any one of them will require repair on a given day is 0.15. -Referring to Table 6-7 and assuming that the number of computers that requires repair on a given day follows a binomial distribution,compute the probability that there will be at least 25 computers that require repair on a given day using a normal approximation.

TABLE 6-7 A company has 125 personal computers.The probability that any one of them will require repair on a given day is 0.15. -Referring to Table 6-7 and assuming that the number of computers that requires repair on a given day follows a binomial distribution,compute the probability that there will be less than 25 or more than 30 computers that require repair on a given day using a normal approximation.

True or False: To determine the probability of getting no more than 3 events of interest in a binomial distribution,you will find the area under the normal curve for X = 2.5 and below.

TABLE 6-7 A company has 125 personal computers.The probability that any one of them will require repair on a given day is 0.15. -Referring to Table 6-7,which of the following is one of the properties required so that the binomial distribution can be used to compute the probability that no more than 2 computers will require repair on a given day?

True or False: As a general rule,one can use the normal distribution to approximate a binomial distribution whenever nπ is at least 5.

True or False: One of the reasons that a correction for continuity adjustment is needed when approximating the binomial distribution with a normal distribution is because the probability of getting a specific value of a random variable is zero with the normal distribution.

TABLE 6-7 A company has 125 personal computers.The probability that any one of them will require repair on a given day is 0.15. -Referring to Table 6-7 and assuming that the number of computers that requires repair on a given day follows a binomial distribution,compute the probability that there will be less than 8 computers that require repair on a given day using a normal approximation.

True or False: To determine the probability of getting at least 3 events of interest in a binomial distribution,you will find the area under the normal curve for X = 2.5 and above.

True or False: As a general rule,one can use the normal distribution to approximate a binomial distribution whenever nπ and n(π - 1)are at least 5.

True or False: As a general rule,one can use the normal distribution to approximate a binomial distribution whenever n(π - 1)is at least 5.