Question

We want to test a new type of pesticide on three different types fruit trees. 40% of trees are type A, 25% are type B and 35% are type C. This pesticide is 90% effective on trees type A, 85% on those of type B and 75% on those of type C. Randomly select a tree and note that the pesticide has been applied to it. beneficial. What is the probability that it is a type B tree? A) 0.2545 B) 0.2321 C) 0.2125. D) 0.7455. E) None of the above.

Name: we want to test a new type of pesticide on three different types fruit trees 40 of trees are type a 25 are type b and 35 are type c this pesticide is 90 effective on trees type a 85 on those 48936
Uploaded: 2021-12-21T19:04:36-08:00
Duration: 3 min 30 s
Channel: David Nguyen
Description: we want to test a new type of pesticide on three different types fruit trees 40 of trees are type a 25 are type b and 35 are type c this pesticide is 90 effective on trees type a 85 on those 48936

          We want to test a new type of pesticide on three different types
fruit trees. 40% of trees are type A, 25% are type B and 35% are
type C. This pesticide is 90% effective on trees type A, 85% on
those of type B and 75% on those of type C. Randomly select a tree
and note that the pesticide has been applied to it. beneficial.
What is the probability that it is a type B tree? A) 0.2545 B)
0.2321 C) 0.2125. D) 0.7455. E) None of the above.

Added by David C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert David Nguyen

12/21/2021

Step 1

25% - For type C: 35% * 75% = 26.25% Show more…

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We want to test a new type of pesticide on three different types fruit trees. 40% of trees are type A, 25% are type B and 35% are type C. This pesticide is 90% effective on trees type A, 85% on those of type B and 75% on those of type C. Randomly select a tree and note that the pesticide has been applied to it. beneficial. What is the probability that it is a type B tree? A) 0.2545 B) 0.2321 C) 0.2125. D) 0.7455. E) None of the above.