t is suspected that 25% of children may have an adverse reaction to the new RTS,S/AS01 (RTS,S) vaccine that was recommended in Octo he World Health Organization for the prevention of P. falciparum malaria in children living in the sub-Saharan Africa, where transmission igh. Suppose the Health Science Faculty of UP is going to test the vaccine on 120 patients. Let: X = the number of children who experienced an adverse reaction.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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It is suspected that 25% of children may have an adverse reaction to the new RTS,S/AS01 (RTS,S) vaccine that was recommended in October this year by
the World Health Organization for the prevention of P. falciparum malaria in children living in the sub-Saharan Africa, where transmission is moderate to
high. Suppose the Health Science Faculty of UP is going to test the vaccine on 120 patients.
Let: X = the number of children who experienced an adverse reaction.
sample proportion of children who experienced adverse reaction.
120
p =
Transcribed Image Text:It is suspected that 25% of children may have an adverse reaction to the new RTS,S/AS01 (RTS,S) vaccine that was recommended in October this year by the World Health Organization for the prevention of P. falciparum malaria in children living in the sub-Saharan Africa, where transmission is moderate to high. Suppose the Health Science Faculty of UP is going to test the vaccine on 120 patients. Let: X = the number of children who experienced an adverse reaction. sample proportion of children who experienced adverse reaction. 120 p =
Give the expected value and standard deviation of p.
Expected value, µp =
Round your answer to 2 decimal places.
Standard deviation, op
Round your answer to 4 decimal places.
d)
The probability that more than 22% of the children will experience an adverse reaction is
Round your answer to 4 decimal places.
e)
It is known that seventy percent of the sample proportions are less than
Round your answer to 4 decimal places.
Transcribed Image Text:Give the expected value and standard deviation of p. Expected value, µp = Round your answer to 2 decimal places. Standard deviation, op Round your answer to 4 decimal places. d) The probability that more than 22% of the children will experience an adverse reaction is Round your answer to 4 decimal places. e) It is known that seventy percent of the sample proportions are less than Round your answer to 4 decimal places.
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