35. The Center for Medicare and Medical Services reported that there were 295,000 appeals for hospitalization...

35. The Center for Medicare and Medical Services reported that there were 295,000 appeals for hospitalization and other Part A Medicare service. For this group, 40% of first-round appeals were successful (The Wall Street Journal, October 22, 2012). Suppose 10 firstround appeals have just been received by a Medicare appeals office.

PLEASE SHOW HOW TO COMPUTE ANSWERS IN EXCEL USING EXCEL FORMULAS

a. Compute the probability that none of the appeals will be successful.

b. Compute the probability that exactly one of the appeals will be successful.

c. What is the probability that at least two of the appeals will be successful?

d. What is the probability that more than half of the appeals will be successful?

Expert Solution

Hello Sir/ Mam

Given that:

p	40.00%
n	10

Now, using

Excel formulas for excel :

FORMULA VIEW

Binomial
p	0.4
n	10
x	=C27*C28
x	P(x)
0	=COMBIN($C$28,B31)($C$27^B31)((1-$C$27)^($C$28-B31))
1	=COMBIN($C$28,B32)($C$27^B32)((1-$C$27)^($C$28-B32))
2	=COMBIN($C$28,B33)($C$27^B33)((1-$C$27)^($C$28-B33))
3	=COMBIN($C$28,B34)($C$27^B34)((1-$C$27)^($C$28-B34))
4	=COMBIN($C$28,B35)($C$27^B35)((1-$C$27)^($C$28-B35))
5	=COMBIN($C$28,B36)($C$27^B36)((1-$C$27)^($C$28-B36))
6	=COMBIN($C$28,B37)($C$27^B37)((1-$C$27)^($C$28-B37))
7	=COMBIN($C$28,B38)($C$27^B38)((1-$C$27)^($C$28-B38))
8	=COMBIN($C$28,B39)($C$27^B39)((1-$C$27)^($C$28-B39))
9	=COMBIN($C$28,B40)($C$27^B40)((1-$C$27)^($C$28-B40))
10	=COMBIN($C$28,B41)($C$27^B41)((1-$C$27)^($C$28-B41))

Output :

x	P(x)
0	0.0060
1	0.0403
2	0.1209
3	0.2150
4	0.2508
5	0.2007
6	0.1115
7	0.0425
8	0.0106
9	0.0016
10	0.0001

Hence,

(a) P(None) = 0.006

(b) P(Exactly one) = 0.0403

(c) P(Atleast 2) = 0.9536

(d) P(More than 5) = 0.1662

milcah answered 1 year ago

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Binomial
p	0.4
n	10
x	=C27*C28
x	P(x)
0	=COMBIN($C$28,B31)($C$27^B31)((1-$C$27)^($C$28-B31))
1	=COMBIN($C$28,B32)($C$27^B32)((1-$C$27)^($C$28-B32))
2	=COMBIN($C$28,B33)($C$27^B33)((1-$C$27)^($C$28-B33))
3	=COMBIN($C$28,B34)($C$27^B34)((1-$C$27)^($C$28-B34))
4	=COMBIN($C$28,B35)($C$27^B35)((1-$C$27)^($C$28-B35))
5	=COMBIN($C$28,B36)($C$27^B36)((1-$C$27)^($C$28-B36))
6	=COMBIN($C$28,B37)($C$27^B37)((1-$C$27)^($C$28-B37))
7	=COMBIN($C$28,B38)($C$27^B38)((1-$C$27)^($C$28-B38))
8	=COMBIN($C$28,B39)($C$27^B39)((1-$C$27)^($C$28-B39))
9	=COMBIN($C$28,B40)($C$27^B40)((1-$C$27)^($C$28-B40))
10	=COMBIN($C$28,B41)($C$27^B41)((1-$C$27)^($C$28-B41))

Question