statistics

posted by .

The probability that a house is burglarized in the city is 5%. If 50 houses are randomly selected, what is the probability that none will be burglarized?

• statistics -

Assuming a large city (so that the sample size does not affect the population probability), then the probability of a house is NOT burglarized is (1-0.05)=0.95.

By the multiplication law, randomly selecting 50 houses not burglarized is
P(50)=0.95^50=0.077.

If you work the other way round, and look for randomly selecting 50 houses ALL burglarized, the probability of that happening is then
P(50)=0.05^50=8.9*10^(-66), very small indeed.

Similar Questions

1. Statistics

The probability that a house in an urban area will develop a leak is 5%. If 82 houses are randomly selected, what is the probability that none of the houses will develop a leak?
2. statistics

mean = 60 wpm standard deviation= 15 wpm a.What is the probability that a randomly selected typist's net rate is at most 60 wpm?
3. Statistics

In a city with no cars of mixed color, 30% of the cars on the road are brown. Forty percent are either brown or green, and 10% are white. a.) What is the probability that a randomly selected car is green?
4. Statistics

Suppose that the birth weight of newborn babies in the U.S is normally distributed with a mean of 7 pounds and a standard deviation of 1.6 pounds. Let the random variable X be the birth weight of a randomly selected record of live …
5. statistics

The probability that a house will develop a leak is 5%. If 20 house holds are randomly selected, what is the mean number if houses that developed leaks?
6. Statistics

*Give all probabilities to two decimal places. Three daily newspapers are published in a large city. Suppose we have the following facts about the people in the city: 60% read Newspaper A. 34% read Newspaper C. 72% read Newspaper A …
7. statistics

the probability that a house in an urban area will develop a leak is 5%. if 23 houses are randomly selected, what is the probability that none of the houses will develop a leak?
8. Statistics (36)

For borrowers with good credit scores, the mean debt for revolving and installment accounts is \$15,015 (BusinessWeek, March 20, 2006). Assume the standard deviation is \$3,730 and that debt amounts are normally distributed. a. What …
9. Statistics

An automatic machine in a manufacturing process is operating properly if the length of an important subcomponent is normally distributed with a mean μ = 80 cm and a standard deviation σ = 2 cm. a) Find the probability that …
10. math (stats)

According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example: …

More Similar Questions