A scientist is studying tulips and daffodils. The scientist estimates that there are 150 tulips in the population of 600 tulips
2 answers:
Answer: Last Option is correct.
Step-by-step explanation:
Since we have given that
Total number of tulips and daffodils = 600
Number of tulips = 150
Number of daffodils is given by
So, We can get the ratio of tulips to daffodils which is given by
So, we need to choose a random sample of flowers to represent the population.
1) He can choose 50 flowers.
As there are 1:3 of tulip and daffodils flowers but if we divide 50 by 4 it will give a decimal number, so it can't represent the required thing.
2) He can choose 25 tulips and 25 daffodils
As they are divided into 1:1 so, it can't represent the 1:3 tulip to daffodils population.
3) He can choose 15 tulips and 60 daffodils
As it is divided into 1:4 inspite of 1:3.So it can't represent the required population.
4) He can choose 10 tulips and 30 daffodils.
So, Last option which states that he can choose 10 tulips and 30 daffodils as in this case the ratio of tulips to daffodils is 1:3.
Hence, Last Option is correct.
You might be interested in
Answer:
a) 10.34% probability that, in a year, there will be 4 hurricanes.
b) 3.62 years are expected to have 4 hurricanes
c) Either 3 or 4 hurricanes(discrete number) are close to the mean of 3.62, which means that the Poisson distribution works well in this case.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
6.7 per year.
This means that
a. Find the probability that, in a year, there will be 4 hurricanes.
This is P(X = 4).
10.34% probability that, in a year, there will be 4 hurricanes.
b. In a 35-year period, how many years are expected to have 4 hurricanes?
Each year, 0.1034 probability of 10 hurricanes.
In 35 years
35*0.1034 = 3.62
3.62 years are expected to have 4 hurricanes
c. How does the result from part (b) compare to a recent period of 35 years in which 3 years had 4 hurricanes? Does the Poisson distribution work well here?
Either 3 or 4 hurricanes(discrete number) are close to the mean of 3.62, which means that the Poisson distribution works well in this case.