NBC News reported on May 2, 2013, that 1 in 20 children in the United States have a food allergy of some sort. Consider selecting a random sample of 15 children and let X be the number in the sample who have a food allergy. Then X ~ Bin(15, 0.05). a. Determine both P(X <= 3) and P(X < 3).
b. Determine P(X >= 4). c. Determine P(1 <= X <= 3).
d. What are E(X) and Sigma (x)?
e. In a sample of 50 children, what is the probablity that none have a food allergy?

a. and

b.

c.

d. and

e.

Step-by-step explanation:

Given

X ~ Bin(15, 0.05)

This implies that:

A binomial distribution is represented as:

Solving (a):

(i)

This is solved as:

So:

(ii)

Solving (b):

This is represented as:

Solving (c):

This is represented as:

Solving (d): E(x) and Sigma(x)

Solving (e):

Calculate P(0) when n= 50

Using:

c. 4 1/4 pounds

pay attention in your classes and concentrate the best thing you can do to raise your test scores is to pay attention when you're supposed to be learning the material: in class!

take good notes.

do your homework.

use mnemonics and other tricks.

do practice tests.

note: the best i know.