t was found that 40% of people have a dog as a pet. If a random sample of 9 people is selected, what is the probability that 5 of them have a dog as a pet?
(That is, what is P(X=5)?) (keep 4 decimal places)
This is a binomial distribution.
p = 0.4
n = 9
P(X = 5) = 9C5 * 0.4^{5} * (1-0.4)^{9-5} = 0.1672
Suppose that 40% of households have at least one dog and we select 20 random households for a pet survey. (A binomial random variable). Q6 What is the probability that at most eight of the households will have at least one dog? (4 decimal places) Q7 What is the probability that exactly five of the households will have at least one dog? (4 decimal places)
According to a recentâ€‹ poll, half of all pet owners would get their next dog or cat from a shelter. Consider a random sample of 25 pet owners and define x as the number of pet owners who would acquire their next dog or cat from a shelter. Assume that x is a binomial random variable. Complete parts a through f below. a. P(x=9) b. P(x>=11) c. P(x>14)
The following table displays the results of a random survey of 100 people. The people were asked what they preferred as a pet, a cat or a dog. Dog Cat Total Male 42 10 52 Female 9 39 48 Total 51 49 100 A person is selected at random from this group. What is the probability that the person prefers Cats given that they are Female?
Suppose that 32% of people have a dog, 27% of people have a cat, and 12% have both. a) What is the probability that someone owns a dog but not a cat? b) What is the probability that two independently selected people have cats? c) What is the probability that two independently selected people have a cat or dog but not both? d) What is the probability that someone owns neither a dog nor cat?
40% of the children in a school have a dog, 35% have a cat, and 15% have a dog and a cat. A child is selected at random. What is the probability that he has a dog but not a cat?
Are dog owners more likely to be atheletes? 297 people in Portland were selected at random and characterized as to whether they owned a dog and whether their interest in sports was above average, average, or below average. The results are presented in the following tablet Interest in Sports Above average Average Below averages Yes 49 43 33 No 29 76 67 a. What is the proportion of people in the sample who own a dog? (answer using a decimal...
QUESTION 10 Previous studies have found 28% of all people prefer Coke to all other cola drinks. A random sample of 17 people is selected. What is the probability exactly three people in this sample prefer Coke? (3 decimal places QUESTION 11 A Melbourne real estate agent lists two houses for lease in the same street, one built of brick and the other of timber. The agent estimates that the probability of being leased within one week is 0.72 for...
In a random sample of 64 people it was found that 42 of them could name all fifty states in the U.S. If two people from this sample are randomly chosen without replacement, what is the probability at least one of these two people can name all fifty states? Round your answer to 4 decimal places. (Hint: The complement of "at least one" is "none". Find the probability that neither of the two people chosen can name all fifty states...
(1 point) In a random sample of 1,000 people, it is found that 6.7% have a liver ailment. Of those who have a liver ailment, 9% are heavy drinkers, 50% are moderate drinkers, and 41% are nondrinkers. Of those who do not have a liver ailment, 10% are heavy drinkers, 40% are moderate drinkers, and 50% are nondrinkers. If a person is chosen at random, and he or she is a heavy drinker, what is the empirical probability of that...
A random sample of n = 214 people who live in a city were selected and 80 identified as a "dog person." A random sample of n2 = 119 people who live in a rural area were selected and 69 identified as a "dog person." Find the 99% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area...