Question

In: Statistics and Probability

USING EXCEL Elly's Hotdog Emporium is famous for its chilidogs. Elly's latest sales indicate that 30%...

USING EXCEL

Elly's Hotdog Emporium is famous for its chilidogs. Elly's latest sales indicate that 30% of the customers order their chilidogs with hot peppers.

Suppose 15 customers are selected at random. What is the probability that between 2 and 6 inclusive will ask for hot pe

Solutions

Expert Solution

Hello Sir/ Mam

Using excel (formulas indicated)

p 0.3
n 15
x
x P(x)
0 0.00474756150994299 =COMBIN($D$28,B31)*($D$27^B31)*((1-$D$27)^($D$28-B31))
1 0.030520038278205 =COMBIN($D$28,B32)*($D$27^B32)*((1-$D$27)^($D$28-B32))
2 0.0915601148346149 =COMBIN($D$28,B33)*($D$27^B33)*((1-$D$27)^($D$28-B33))
3 0.170040213264285 =COMBIN($D$28,B34)*($D$27^B34)*((1-$D$27)^($D$28-B34))
4 0.218623131339795 =COMBIN($D$28,B35)*($D$27^B35)*((1-$D$27)^($D$28-B35))
5 0.206130380977521 =COMBIN($D$28,B36)*($D$27^B36)*((1-$D$27)^($D$28-B36))
6 0.147235986412515 =COMBIN($D$28,B37)*($D$27^B37)*((1-$D$27)^($D$28-B37))
7 0.0811300333293449 =COMBIN($D$28,B38)*($D$27^B38)*((1-$D$27)^($D$28-B38))
8 0.034770014284005 =COMBIN($D$28,B39)*($D$27^B39)*((1-$D$27)^($D$28-B39))
9 0.011590004761335 =COMBIN($D$28,B40)*($D$27^B40)*((1-$D$27)^($D$28-B40))
10 0.002980286938629 =COMBIN($D$28,B41)*($D$27^B41)*((1-$D$27)^($D$28-B41))
11 0.000580575377655 =COMBIN($D$28,B42)*($D$27^B42)*((1-$D$27)^($D$28-B42))
12 0.000082939339665 =COMBIN($D$28,B43)*($D$27^B43)*((1-$D$27)^($D$28-B43))
13 0.000008202791835 =COMBIN($D$28,B44)*($D$27^B44)*((1-$D$27)^($D$28-B44))
14 0.000000502211745 =COMBIN($D$28,B45)*($D$27^B45)*((1-$D$27)^($D$28-B45))
15 0.000000014348907 =COMBIN($D$28,B46)*($D$27^B46)*((1-$D$27)^($D$28-B46))

Hence,

I hope this solves your doubt.

Do give a thumbs up if you find this helpful.


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