Question

In: Statistics and Probability

The probability that a person living in a certain city owns a dog is estimated to...

The probability that a person living in a certain city owns a dog is estimated to be 0.35. Find the probability that the eleventh person randomly interviewed in that city is the eighth one to own a dog.

The probability that eleventh person randomly interviewed in that city is the eighth one to own a dog is

Solutions

Expert Solution

P(11th person interviewed is the 8th one to own a dog) = P(seven person out of ten owns a dog) * P(owns a dog)

                                                                                        = 10C7 * 0.357 * (1 - 0.35)10-7 * 0.35

                                                                                        = 0.0074


Related Solutions

A survey of families living in a certain city was conducted to collect information on the...
A survey of families living in a certain city was conducted to collect information on the following variables: age of the oldest person in the family, number of family members, number of males in the family, number of females in the family, whether or not they own a house, income of the family, whether or not the family took vacations during the past one year, whether or not they are happy with their financial situation, and the amount of their...
The mean salary of people living in a certain city is $37,500 with a standard deviation...
The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,348. A sample of 62 people is selected at random from those living in the city. Find the probability that the mean income of the sample is within $500 of the population mean. Round your answer to 4 decimal places.
a) In a small country, the probability that a person will die from a certain respiratory...
a) In a small country, the probability that a person will die from a certain respiratory infection is 0.004. Let ? be the random variable representing the number of persons infected who will die from the infection. A random sample of 2000 persons with this disease is chosen. (i) Determine the exact distribution of ? and state TWO reasons why it was chosen? [4 marks] (ii) State the values of ?(?) and ???(?). [2 marks] (iii) Using a suitable approximate...
In one city, the probability that a person will pass his or her driving test on...
In one city, the probability that a person will pass his or her driving test on the first attempt is 0.7. Assume that 10 people are selected at random from among those taking their driving test for the first time. (a) [5 points] What are the values of n, p, and q in this problem? (b) [30 points] What is the probability that at least 8 of the 10 selected people pass the test? (c) [10 points] Determine the mean...
In one city, the probability that a person will pass his or her driving test on...
In one city, the probability that a person will pass his or her driving test on the first attempt is 0.68. Eleven people are selected at random from among those taking their driving test for the first time. 1. What is the probability that among these 11 people, exactly 7 people will pass their driving test for the first time? a. 0.0144 b. 0.7437 c. 0.2326 d. 0.4890 2. What is the probability that among these 11 people, at least...
In a certain urban area the probability that a middle-age person has hypertension is 0.2.
In a certain urban area the probability that a middle-age person has hypertension is 0.2. The probability that a middle-age person has high cholestrol is 0.8. Assume that these two conditions are mutually independent. The probability that a randomly chosen middle-age person suffers from at least one of these two conditions is closest to:
Two people are on a city block. Person A is on the northeast corner and Person...
Two people are on a city block. Person A is on the northeast corner and Person B is on the southwest corner. Person A starts walking towards the southeast corner at a rate of 3 ft/sec. Four seconds later Person B starts walking towards the southeast corner at a rate of 2 ft/sec. At what rate is the distance between them changing (a) 10 seconds after Person A starts walking and (b) after Person A has covered half the distance?
Match the described probability with the type of probability. It is estimated that 75% of a...
Match the described probability with the type of probability. It is estimated that 75% of a grapefruit crop is good. The other 25% have rotten centers once the grapefruit is cut open. Therefore, the grapefruit can either be good or bad for consumption. You randomly select 10 grapefruits and are asked to find the probability that are exactly 5 are good. A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is...
In 2011, the city of Calgary had 1,096,833 people living within the city limits. Since then,...
In 2011, the city of Calgary had 1,096,833 people living within the city limits. Since then, there have been 245,678 births and 189,753 deaths. A total of 159,753 people moved to Calgary from other cities or countries, while only 12,354 people moved away from Calgary. How did the population of Calgary change since 2011? Express your answer using scientific notation in the form of x.yz x 10d people. ------- Human beings, like other K-selected species live close to carrying capacity...
The living character of living radical polymerization is limited under certain conditions, such as high monomer...
The living character of living radical polymerization is limited under certain conditions, such as high monomer conversion, high initiator concentration, and high targeted molecular weight (>100,000). Explain why these conditions result in broadening of PDI and some difficulty in producing block copolymers with well-defined block lengths of different monomers.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT