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Customer Question

1. A vacuum cleaner has...

1. A vacuum cleaner has four height settings and a sensor (on or off) that detects debris. There are five rooms

and in each, the carpet may be clean or not. If you only have one vacuum cleaner, how many configurations

are possible, each stating the vacuum height, sensor setting, room in which the vacuum is in, and the carpet’s

condition. For instance, the configuration H1, on, Room 3, cleanL says the vacuum height is set to 1, its sensor

is on and is in Room 3 whose carpet is clean.

8. For X ~nH2, 7L, solve for x and y in PHx § X § yL = 0.75, where PHX § xL = 0.15 and compute y ê x.

9. A defense depot has 23 items, six of which are broken. If an inspector randomly draws eight items at once,

what’s the probability that three will be broken?

10. A city’s three ethnic groups comprise 10%, 60% and 30% respectively of the population. Compute the

probability that a draw from the population has three from Cell #1, six from Cell #2, and four from Cell #3.

4. The only thing you know about random variable X is that its variance is 28. At most, what's the probability

that X differs from its mean by at least 9?

and in each, the carpet may be clean or not. If you only have one vacuum cleaner, how many configurations

are possible, each stating the vacuum height, sensor setting, room in which the vacuum is in, and the carpet’s

condition. For instance, the configuration H1, on, Room 3, cleanL says the vacuum height is set to 1, its sensor

is on and is in Room 3 whose carpet is clean.

8. For X ~nH2, 7L, solve for x and y in PHx § X § yL = 0.75, where PHX § xL = 0.15 and compute y ê x.

9. A defense depot has 23 items, six of which are broken. If an inspector randomly draws eight items at once,

what’s the probability that three will be broken?

10. A city’s three ethnic groups comprise 10%, 60% and 30% respectively of the population. Compute the

probability that a draw from the population has three from Cell #1, six from Cell #2, and four from Cell #3.

4. The only thing you know about random variable X is that its variance is 28. At most, what's the probability

that X differs from its mean by at least 9?

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