(b) (i) 5% of the studenis in a cortain school study on scholarship. 60 studcnts are chosen aL random from the school. Use Poison distributionn io find to 3 significant figures, the probability that at least 2 of them study on scholarship.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Answer Q8b

The probability density function of a continuous random variable Y is given by
(A(v+2)
8.
(a)
-2 <ys0
2k
0<ys2
elsewhere
(i)
Show tlatA-
Evaluate P(Y<1).
(b) (i) 5% of' the students in a cortain school study on scholarship. 60 students are chosen al random from
the school. Use Poison distribution to find to 3 signilicant figures, the prohability that at least 2 of
them study on scholarship.
(ii) 500 students are chosen at random from the school.
Use the normal approximation to estimate to 3 significant figures the probability that between 20
and 30 students inclusive will be studying on scholarship.
Transcribed Image Text:The probability density function of a continuous random variable Y is given by (A(v+2) 8. (a) -2 <ys0 2k 0<ys2 elsewhere (i) Show tlatA- Evaluate P(Y<1). (b) (i) 5% of' the students in a cortain school study on scholarship. 60 students are chosen al random from the school. Use Poison distribution to find to 3 signilicant figures, the prohability that at least 2 of them study on scholarship. (ii) 500 students are chosen at random from the school. Use the normal approximation to estimate to 3 significant figures the probability that between 20 and 30 students inclusive will be studying on scholarship.
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