![tyreannag7696](/avatars/11177.jpg)
tyreannag7696
10.03.2020 •
Mathematics
Suppose that 3 out of every 10 homeowners in the state of California has invested in earthquake insurance. Suppose 20 homeowners are randomly chosen to be interviewed.
(a) What is the probability that at least one had earthquake insurance? (Round your answer to three decimal places.)
(b) What is the probability that four or more have earthquake insurance? (Round your answer to three decimal places.)
Solved
Show answers
More tips
- P Philosophy Is Everything We Strive for Eventually Achieved and Destroyed?...
- S Society and Politics Understanding Politics and Its Role in the Development of Civilization...
- P Philosophy Why Did God Create Man and Place Him in Obscurity?...
- S Society and Politics Skoptsy: Who They Are and How They Perform Castration?...
- O Other Childhood Fears: What Many of Us Experienced...
- P Philosophy What is Something for you?...
- H Health and Medicine Why Do Humans Have One Heart?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- O Other How to Accidentally Get a Rare Coin with Your Change and How to Know Its Value?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
Answers on questions: Mathematics
- M Mathematics What is the answer to the equation 4+4...
- M Mathematics Which graph represents exponential decay?...
- H Health Name the labeled structures in the cell diogram above...
- S Social Studies is the force appled by the machine on object on which the work is to be done...
- B Biology Which of the following premises about evolution by natural selection is false? Organisms usually produce many more offspring than the environment can support. Natural...
- H History Thomas Edison s Galveston Hurricane 1900 Movie: search up That Galveston Hurricane 1900 stunned the nation. Among the people who came to document its destruction...
Ответ:
a) 0.999 = 99.9% probability that at least one had earthquake insurance
b) 0.892 = 89.2% probability that four or more have earthquake insurance
Step-by-step explanation:
For each homeowner, there are only two possible outcomes. Either they have invested in earthquake insurance, or they have not. The probability of a home owner having invested in earthquake insurance is independent from other homeowners. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Suppose that 3 out of every 10 homeowners in the state of California has invested in earthquake insurance.
This means that![p = \frac{3}{1-0} = 0.3](/tpl/images/0541/3773/bd1fd.png)
Suppose 20 homeowners are randomly chosen to be interviewed.
This means that
.
(a) What is the probability that at least one had earthquake insurance? (Round your answer to three decimal places.)
Either none had earthquake insurance, or at least one did. The sum of the probabilities of these events is 1. So
We want
. So
In which
So
0.999 = 99.9% probability that at least one had earthquake insurance
(b) What is the probability that four or more have earthquake insurance? (Round your answer to three decimal places.)
Either less than 4 had earthquake insurance, or at least four did. The sum of the probabilities of these events is 1. So
We want
. So
In which
So
0.892 = 89.2% probability that four or more have earthquake insurance
Ответ:
the solution is x<4 (color green)
Step-by-step explanation:
hello :
draw the graph for the line : y= x-13 ( color bleu)
draw the graph for the line : y= -4x+7 ( color red)
the solution is x<4 (color green)