This preview shows page 1. Sign up to view the full content.
Unformatted text preview: P ( X  R ) =
=
=
=
=
= P ( R)
P ( R)
0.36
0.36 36 3 6. (a). A 20 sided die is rolled 80 times. What is the probability that it never shows a number above 17 (i.e., it never shows 18, 19, or 20)? Express your answer exactly and also as an approximation involving the number e. 4 20
4
⎡⎛
3⎞ ⎤ ⎛ 1⎞
1
= ⎢⎜ 1 − ⎟ ⎥ ≈ ⎜ 3 ⎟ = 12
⎝ 20 ⎠ ⎦ ⎝ e ⎠
e
⎣ n
a⎞
⎛
We used here the fact that lim ⎜ 1 + ⎟ = ea n→∞ ⎝
n⎠ (b). A box contains three cards with the number 8 on them, four cards with the number 9 on th...
View
Full
Document
This note was uploaded on 01/25/2014 for the course MATH 511 taught by Professor Sumner during the Spring '13 term at South Carolina.
 Spring '13
 Sumner
 Math, Decimals, Probability

Click to edit the document details