Question

9. The probability that a particular species of plant survives the winter is 0.7. Charlotte has 22 plants of this species. What is the probability that more than 17 of her plants will survive the winter? Report your result to three decimal places. 4. The Community Council for Taylorsville Elementary needs to select officers. The positions available are president, vice president, treasurer, and secretary. No person can hold more than one position and each office is filled in the order they different ways can the council select officers? ve as officers, how many are selected. If there are 45 individuals willing to ser

Answer 1

9. This is a Binomial problem :

We have given

n = 22

p= 0.7

X : number of plant survived

We have to compute P (X ≥17 )

P(X 17) P(X = 17)+ P(X = 18)+ P(X = 19)+ P(X = 20)+

P(X 21) P(X = 22)
  
22 22 22 (0.7)" (0.3)22-17+ 0.7) (0.3)22-14. (0.7)9(0.3)22-19+ 19 17 18
  
22 22 22 (0.7)2 (0.3)2-2 (0.7) (0.3)22-22 17 (0.7)20 (0.3)22-20 20 21

  

E0.3134

Answer : 0.3134