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 20 children and let X be the number in the sample who have a food allergy. Then X- Bin(20, 0.05). (Round your probabilities to three decimal places.)

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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 20 children
and let X be the number in the sample who have a food allergy. Then X - Bin(20, 0.05). (Round your probabilities to three decimal places.)
A USE SALT
(a) Determine both PX s 4Y and PX < 4),
P(X S4) -
P(X < 4) -
(b) Detarmine P(X z 5).
PEX 2 5)-
(c) Determine P(1SXS 4).
PISXS4)
(d) What are E0) and e (Round your answers to two decimal places.)
E(X)-
Transcribed Image Text: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 20 children and let X be the number in the sample who have a food allergy. Then X - Bin(20, 0.05). (Round your probabilities to three decimal places.) A USE SALT (a) Determine both PX s 4Y and PX < 4), P(X S4) - P(X < 4) - (b) Detarmine P(X z 5). PEX 2 5)- (c) Determine P(1SXS 4). PISXS4) (d) What are E0) and e (Round your answers to two decimal places.) E(X)-
(c) Determine P(1 s X S 4).
P(1 s XS 4) =
%3D
(d) What are E(X) and oy? (Round your answers to two decimal places.)
E(X)
%3D
(e) In a sample of 70 children, what is the probability that none has a food allergy?
Transcribed Image Text:(c) Determine P(1 s X S 4). P(1 s XS 4) = %3D (d) What are E(X) and oy? (Round your answers to two decimal places.) E(X) %3D (e) In a sample of 70 children, what is the probability that none has a food allergy?
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