NBC News reported on May 2, 2013, that 1 in 20 children in the United States have

Question:

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 25 children and let X be the number in the sample who have a food allergy. Then X ~ Bin(25, .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 σX?
e. In a sample of 50 children, what is the probability that none has a food allergy?
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: