jazminecoffelt3064 jazminecoffelt3064
  • 17-11-2017
  • Mathematics
contestada

Let x be the number of successes throughout n independent repetitions of a random experiment having probability of success p=1/4. determine the smallest value of n so that p(1<=x)>=0.7

Respuesta :

meerkat18
meerkat18 meerkat18
  • 30-11-2017

To answer problems like this you have to use binomial:

P (x > 1) = 1 – p (0 < x < 1) > .7 

So:

1 – p (0) – p (1) > .7 

1 – (3/ 4) ^n – (3/ 4) ^n (n – 1 ) (1/ 4) > .7 

Therefore n > 5.185, and the smallest value of n so that we can satisfy the given condition is 6 (rounded up)

 

Answer Link

Otras preguntas

Trabajo con mi padre regularmente _________ dos años. dentro de desde hace antes de para
Convenience goods such as candy, gum, and cigarettes are normally distributed using _____ distribution.
When mysql automatically converts one data type to another, itâs known as a/an ______________________ conversion?
you can help prevent fatigue by
A bar magnet is placed on a table so that the north pole faces right. Which statement describes the magnetic field lines 2 cm above the table? They are pointing
Which of the following are solutions to the equation below? (4x - 1)2 = 11
Put these numbers to least to greatest 2.07 2 2/7 2.67 -2.67
Which organism contributes to soil formation in primary succession? A) lichens B) grass C) small plants D) trees
If the probability of an event is 2/7, what must be the probability of its complement?
What is one example of trench warfare?