Of all the trees planted by a landscaping firm, 45% survive. what is the probability that 13 or more of the 15 trees they just planted will survive

ANSWER:  

The probability for 13 or more of the 15 trees they just planted will survive is 0.00110702414

SOLUTION:

Given,

The total number of plants is, n=15

The chance of survival of trees is, p=45%.  

Probability of getting success p(success) =

P(success) =

P(success) = 0.45

Binomial distribution formula is given as

In our case, x is greater than or equal to 13, i.e. x 13

The probability for 13 or more of the 15 trees they just planted will survive is given by

+ +

on simplification we get

=0.00098554703 + 0.0001151938 + 0.00000628329

= 0.00110702414

Hence, the probability for 13 or more of the 15 trees they just planted will survive is 0.00110702414

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation: