n=16 p=0.55 Secure : https//www.mathxl.corn/StudenUPlayerTest.aspx?testid=175987
ID: 3057151 • Letter: N
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n=16 p=0.55
Secure : https//www.mathxl.corn/StudenUPlayerTest.aspx?testid=175987433 MATH 1127: Introduction to Statistics Ashley Waller 1 3/4/18 9:26 PM Quiz: Chapter 5 Quiz This Question: 5 pls Time Limit: 02:0000 Submit Quiz 5 of 20 This Quiz: 100 pts possible Write the binomial probability and the normal probability for the shaded region of the graph Find the value of each probability and compare the resuts Write tha normal probablity for the shaded region of the graph and find its value Select the correct cboice telow and se answer box wiehih your choice Click to select youd answerExplanation / Answer
Solution:- GIven that N = 16 , P = 0.55
A. option A. P(6 <= X <= 8) = P(6) + P(7) + P(8)
= 0.0755 + 0.1318 + 0.1812
= 0.3885
B. option B. P(6 <= X <= 8) = P(5.5 <= X <= 8.5) = 0.3919
mean = n*p = 16*0.55 = 8.8
sd = sqrt(npq) = sqrt(16*0.55*0.45) = 1.9899
=> P(5.5 <= X <= 8.5) = P((5.5-8.8)/1.9899 <= Z <= (8.5-8.8)/1.9899 )
= P(-1.6584 <= Z <= -0.1508)
= 0.3919
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