Steps and formula used to Answer to 4.) a.? 20 points-10points each =LO P3619 A

Question

Steps and formula used to Answer to 4.) a.?

20 points-10points each =LO P3619 A seedling supplier sells equal proportions of pine and fir seedlings (50% each). Based on historical evidence, the following probabilities pertaining to the mortality rates of scedlings are also known: P (seedling will not survive) = 0.05 P (seedling is a pine AND it wili not survive) 0.03 a) If seedlings are sold in packages of 20, what is the probability that a sample of three (3) taken without replacement contains at least one (1) seedling that will not survive?comDiun Hint: the number of items labeled a success is the expected number of seedlings that will not survive in a package of 20 b) If a dead seedling has been found, what is the probability that it was a fir? draw tree diogm

Explanation / Answer

a) P(atleast one out of 3 seedling wont survive)

= 1 - P(all 3 seedling will survive) => A

P(seedling will not survive) = 0.05

P(seedling will survive) = 1 - 0.05 = 0.95

P(all 3 seedling will survive) = 0.953 = 0.85

Thus, from A

P(atleast one out of 3 seedling wont survive) = 1 - 0.85 = 0.15

b)

P(seedling will not survive) = 0.05

P(seedling is pine and seedling will not survive) = 0.03

Thus, P(seedling is fir and seedling will not survive) = 0.05-0.03 = 0.02

P(seedling is fir/ seedling is dead) = P(seedling is fir and seedling will not survive) / P(seedling will not survive)

= 0.02 / 0.05 = 0.40

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.