Question

we in uredu Post Class R 1 50 2011 helps in urb e con Question 9) (4 points] According to the Center for Paranormal Activity and Defense (a secret division of the FBI), 10% of people have come in contact with an extraterrestrial being. Suppose 10 people are randomly selected and the numbers who have come in contact with extraterrestrial beings is recorded. • Why could this be modeled as a binomial probability experiment? What are the criteria?

9? how do l do it?

thank you

Answer 1

(a)

This could be modeled as binomial distribution since: (i) n = Total number of trials = 10 is fixed. (ii) = p = Probability of success in each trial = 0.10 is constant.The trials are independent.

(b)

n = 10

p = 0.10

q = 1 - p = 0.90

P(X = 2) = x 0.908 x 0.102 = 45 x 0.4305 x 0.01 = 0.1937

So,

Answer is:

0.1937

(c)

P(X$\leq$2) = P(X=0) + P(X=1) + P(X=2)

10 P(X =0) = x 0.9010 x 0.10º = 1 x 0.3487 X 1 = 0.3487 0 )

P(X = 1) = x 0.90° 0.101 = 10 x 0.3874 x 0.10 = 0.3874

P(X = 2) = x 0.908 x 0.102 = 45 x 0.4305 x 0.01 = 0.1937

So,

P(X$\leq$2) = 0.9298

So,

Answer is:

0.9298