Jenny sells "honey tea" to raise fund for homeless people. The probabi

jippie771h

jippie771h

Answered question

2021-11-13

Jenny sells "honey tea" to raise fund for homeless people. The probability of making a sale is, independently, 0.3 for each person she approaches.
a) Given that she approaches 10 people, find the probability that she will makes at most 3 sales. Interpret the value obtained.
b) What is the probability that she will makes the first sale at the fifth person she approaches?
c) What is the probability that she will makes 4 sales before the seventh person she approaches?
d) Based on Jenny's experience selling "honey tea" for the last 2 weeks, the probability that the person she approaches will buy 0,1,2 or more than 2 cups are 0.7, 0.15, 0.10 and 0.05 respectively. Jenny plans to approached 20 persons. What is the probability that 10 will not buy, will buy 1 cup, 4 will buy 2 cups and the rest will buy than 2 cups?

Answer & Explanation

Vaing1990

Vaing1990

Beginner2021-11-14Added 16 answers

Step 1
It is given that 20 people are approached.
So the mean for buying 0 is m0=0.7×20=14
The probability that 10 will buy 0 is P0=(14)10e1410!=0.06628
The mean for buying 1 is m1=0.15×20=3
The probability that 3 will buy 1 is P1=(3)3e33!=0.02240
Step 2
The mean for buying 2 is m2=0.10×20=2
The probability that 4 will buy 2 cups is given by P2=(2)4e24!=0.09022
The mean for buying greater than 2 is m>2=0.05×20=1
The probability that rest which is 3 people will buy more than 2 cups is given by:
P>2=(1)5e13!=0.06131

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