anonymous
  • anonymous
A certain flower can be white or blue and may or may not have fragrance. Suppose blue flowers are extremely rare and that the rate of blue flowers in the population is 1/400 flowers. Consider the following data. Fragrant Not Fragrant Total Sampled White 500 500 1000 Blue 2 8 10 If we happen to smell a randomly selected fragrant flower, what is the probability it is blue?
Statistics
jamiebookeater
  • jamiebookeater
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

kropot72
  • kropot72
Rate of white flowers in population = 399/400 flowers = 798/800 flowers Rate of fragrant white flowers in population = \[\frac{798}{800}\times \frac{1}{2}=\frac{399}{800}\] Rate of blue flowers in population = 1/400 flowers = 2/800 flowers Rate of fragrant blue flowers in population = \[\frac{2}{800}\times \frac{1}{5}=\frac{2}{5}\times \frac{1}{800}\] Rate of fragrant white plus blue flowers in population = (399 + 2/5)/800 flowers \[P(blue\ fragrant)=\frac{\frac{2}{5}}{399+\frac{2}{5}}\]
anonymous
  • anonymous
how did you come up with the 798/800 ?
anonymous
  • anonymous
i mean the 399/400*

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

kropot72
  • kropot72
It is given that the rate of blue flowers in the population is 1/400 flowers. Therefore on average out of 400 flowers 1 is blue and 400 - 1 = 399 are white. So the rate of white flowers (fragrant + not fragrant) in the population is 399/400.
anonymous
  • anonymous
oh okay, that makes sense. thank you!
kropot72
  • kropot72
You're welcome. Please let me know if you need more clarification.
anonymous
  • anonymous
do you need to double the rate, ie. 399/400 to 798/800 ?
kropot72
  • kropot72
The rate is the same when the numerator and denominator are both multiplied by 2. 399/400 = 798/800. I increased the reference quantity from 'per 400 flowers' to 'per 800 flowers' to avoid having 199.5/400 at the next step. It looks better to see 399/800, although: 199.5/400 = 399/800.
anonymous
  • anonymous
oh okay, thank you
kropot72
  • kropot72
You're welcome :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.