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

Find the apothem of a regular 12-gon (12-sided polygon) if each side is 4.2 cm, and has an area of 197 sq. cm.
What else would need to be congruent to show that ABC= AXYZ by ASA? В Given: X=A Z=C A.BC=YZ B.AC=XZ C.Y=C D.Z=A
Anyone know it will give you a 50points
Consider five circles with radii of 1, 2, 4, 8, and 16 inches. a. Complete the table. b. Compare the areas and circumferences. What happens to the circumference
Pls help me with this question
whats the answer to this
20x + 6 What is the constant? Someone please answer, I need this so I can be free and go on my phone again :(
A mall manager records the number of customers who enter the mall each day. The box plot represents the data. H 200 300 400 500 600 Number of Customers Which s
write a cause of a fight between two learners​
the third term of an arithmetic progression is 4x - 2y and the 9th term is 10 x - 8 y find the common difference​