5. NBC News reported on May 2, 2013, that 1 in 20 child United States have a food allergy of some sort. Conside random sample of 25 children and let X be the number who have a food allergy. Then X-Bin(25, 05). (Show even though you can find the answers from the calculat a) Determine P(X = 3), P(X ≤ 3) and P(X<3). b) Determine P (X24). c) Determine P(1 ≤ x ≤ 3). d) What are E(X), E(X) and o₂?
5. NBC News reported on May 2, 2013, that 1 in 20 child United States have a food allergy of some sort. Conside random sample of 25 children and let X be the number who have a food allergy. Then X-Bin(25, 05). (Show even though you can find the answers from the calculat a) Determine P(X = 3), P(X ≤ 3) and P(X<3). b) Determine P (X24). c) Determine P(1 ≤ x ≤ 3). d) What are E(X), E(X) and o₂?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
Question 5
![Page
5. 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). (Show your work,
even though you can find the answers from the calculator.)
a) Determine P(X= 3), P(X ≤ 3) and P(X<3).
b) Determine P (X24).
c) Determine P(1 ≤ x ≤ 3).
d) What are E(X), E(X²) and o₂?
e) In a sample of 50 children, what is the probability that none has a food
allergy?
6. A particular telephone number is used to receive both voice calls and
fax messages. Suppose that 25% of the incoming calls involving fax
messages, and consider a sample of 25 incoming calls. [Hint: Is this a
binomial distribution? (Show your work, even though you can find the
answers from the calculator.)]
a)
What is the probability that
(1) At most 6 of the calls involve a fax message?
(11) Exactly 6 of the calls involve a fax message?
(111) At least 6 of the calls involve a fax message?
(iv) More than 6 of the calls involve a fax message?
b) What is the expected number of calls involving a fax message in the
sample? (Do not round your answer.)
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F048faa6b-a100-4249-8bc6-0274c2c51311%2F66d22e7c-48d3-4fd8-8c9b-d483841ecd3e%2Fixaptlr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Page
5. 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). (Show your work,
even though you can find the answers from the calculator.)
a) Determine P(X= 3), P(X ≤ 3) and P(X<3).
b) Determine P (X24).
c) Determine P(1 ≤ x ≤ 3).
d) What are E(X), E(X²) and o₂?
e) In a sample of 50 children, what is the probability that none has a food
allergy?
6. A particular telephone number is used to receive both voice calls and
fax messages. Suppose that 25% of the incoming calls involving fax
messages, and consider a sample of 25 incoming calls. [Hint: Is this a
binomial distribution? (Show your work, even though you can find the
answers from the calculator.)]
a)
What is the probability that
(1) At most 6 of the calls involve a fax message?
(11) Exactly 6 of the calls involve a fax message?
(111) At least 6 of the calls involve a fax message?
(iv) More than 6 of the calls involve a fax message?
b) What is the expected number of calls involving a fax message in the
sample? (Do not round your answer.)
3
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 3 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON