A public school randomly tests the hearing of students who have no previously de

Question

A public school randomly tests the hearing of students who have no previously detected hearing impairment. Among the children at the school, 15% have previously undetected hearing impairment. Let X=the number of children screened until finding the first child with hearing impairment.

Give the name of the distribution that best models X and the value(s) for the parameters of the distribution chosen. What is the probability that a child with hearing impairment will be discovered within the first five children tested?

Explanation / Answer

here as we are screening till we find a cildren with hearing impairment this is geometric distribution

and its parameter is p=0.15.

probability that a child with hearing impairment will be discovered within the first five children tested

=P(X<=5) =1-P(no  hearing impaired child in first 5 )=1-(0.85)5 =1-0.4437 =0.5563

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.