Questions from Business Statistics

Q: A soft-drink machine dispenses only regular Coke and Diet Coke

A soft-drink machine dispenses only regular Coke and Diet Coke. Sixty percent of all purchases from this machine are diet drinks. The machine currently has 10 cans of each type. If 15 customers want t...

Q: A coin is flipped 25 times. Let x be the number

A coin is flipped 25 times. Let x be the number of flips that result in heads (H). Consider the following rule for deciding whether or not the coin is fair: In this section, you will see how probabili...

Q: The longest “run” of S’s in the 10-trial

The longest “run” of S’s in the 10-trial sequence SSFSSSSFFS has length 4, corresponding to the S’s on the fourth, fifth, sixth, and seventh trials. Consider a binomial experiment with n = 4, and let...

Q: Let x denote the IQ of an individual selected at random from

Let x denote the IQ of an individual selected at random from a certain population. The value of x must be a whole number. Suppose that the distribution of x can be approximated by a normal distributio...

Q: Seventy percent of the bicycles sold by a certain store are mountain

Seventy percent of the bicycles sold by a certain store are mountain bikes. Among 100 randomly selected bike purchases, what is the approximate probability that a. At most 75 are mountain bikes? b....

Q: Suppose that 65% of all registered voters in a certain area

Suppose that 65% of all registered voters in a certain area favor a seven-day waiting period before purchase of a handgun. Among 225 randomly selected registered voters, what is the approximate probab...

Q: The distribution of the number of items produced by an assembly line

The distribution of the number of items produced by an assembly line during an 8-hour shift can be approximated by a normal distribution with mean value 150 and standard deviation 10. a. What is the a...

Q: Suppose that 25% of the fire alarms in a large city

Suppose that 25% of the fire alarms in a large city are false alarms. Let x denote the number of false alarms in a random sample of 100 alarms. Approximate the following probabilities: a. P(20 ≤ x ≤...

Q: A company that manufactures mufflers for cars offers a lifetime warranty on

A company that manufactures mufflers for cars offers a lifetime warranty on its products, provided that ownership of the car does not change. Only 20% of its mufflers are replaced under this warranty....

Q: A symptom validity test (SVT) is sometimes used to confirm

A symptom validity test (SVT) is sometimes used to confirm diagnosis of psychiatric disorders. The paper “developing a Symptom validity test for Posttraumatic Stress disorder: Application of the binom...