9:54 1 webassign.net 3. -12 points JKEStat11 5.E.054. My Notes Suppose that you
ID: 3063725 • Letter: 9
Question
9:54 1 webassign.net 3. -12 points JKEStat11 5.E.054. My Notes Suppose that you are in a class of 32 students and it is assumed that approximately 17% of the population is left-handed. (Give your answers correct to three decimal places.) (a) Compute the probability that exactly five students are left-handed. (b) Compute the probability that at most four students are left-handed. (c) Compute the probability that at least six students are left-handed. Need Help? RedTk odter Submit Answer Save Progress Practice Another VersionExplanation / Answer
Given
n=32
p=0.17 therefore q=1-0.17=0.83
a)
r=5
We have to find
P(X=r)=nCr *p^r*q^(n-r)
=32C5* 0.17^5 * 0.83^(32-5)
=0.18679
b)
Atmost 4
P(X<4)=P(X=<3)
=P(X=0)+P(X=1)+P(X=2)+P(X=3)
==32C0* 0.17^0 * 0.83^(32-0)+=32C1* 0.17^1 * 0.83^(32-`1)+=32C2* 0.17^2 * 0.83^(32-2)+=32C3* 0.17^3* 0.83^(32-3)=0.182656
c)
Atleast 6
P(X>6)=1-P(X<=6)
P(X<=6)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)+P(X=6)
=0.70447
Hence 1-0.70447=0.29553
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