Question

In: Statistics and Probability

"Fun Life" claims that the probability that a customer comes back every week; P(repeat customer)= 54%....

"Fun Life" claims that the probability that a customer comes back every week; P(repeat customer)= 54%. On May 6th, you randomly selected 10 customers from the store. Create a probability distribution table for the Binomial probability that the customer is a repeat customer.

Fun Life Strange Love
9/2/19 $    10,499.94 $    15,602.13
9/9/19 $    12,570.94 $    15,266.79
9/16/19 $      3,005.02 $      4,081.42
9/23/19 $    14,248.23 $      1,382.24
9/30/19 $      8,636.75 $      8,275.37
10/7/19 $    14,204.85 $      1,245.25
10/14/19 $      9,543.69 $    10,673.07
10/21/19 $      5,263.17 $    10,464.89
10/28/19 $      7,371.62 $      8,938.07
11/4/19 $      5,008.26 $    10,442.26
11/11/19 $      3,489.96 $      2,108.36
11/18/19 $    12,743.37 $    13,724.84
11/25/19 $      1,848.10 $      9,319.00
12/2/19 $      5,789.95 $      7,755.35
12/9/19 $      7,586.66 $    12,327.17
12/16/19 $      2,287.95 $      2,343.91
12/23/19 $      3,356.14 $      2,444.49
12/30/19 $      4,558.28 $    12,514.89
1/6/20 $      7,247.02 $      4,998.70
1/13/20 $      7,374.31 $    13,333.44
1/20/20 $      4,593.70 $    14,156.07
1/27/20 $      1,792.20 $      6,646.60
2/3/20 $      3,248.34 $      3,494.17
2/10/20 $      1,372.53 $    17,622.30
2/17/20 $    11,061.58 $      8,109.53
2/24/20 $      9,250.06 $    11,629.81
3/2/20 $      3,598.44 $      1,294.15
3/9/20 $    13,069.25 $    14,609.46
3/16/20 $      1,769.34 $    16,544.91
3/23/20 $      5,340.35 $      6,791.68
3/30/20 $      9,584.29 $      9,749.47
4/6/20 $    14,422.19 $      3,744.22
4/13/20 $      4,139.96 $    11,331.56
4/20/20 $      4,917.33 $    10,489.14
4/27/20 $    12,172.46 $    17,745.47

Solutions

Expert Solution

Hey this above data is not required for any calculation.

question ask for binomial probabilities that a customer is a repeated customer.

Now out of 10 randomly selected individuals there 11 possibilities of being a repeated customer.

either 0 or 1 or 2.....or all 10 may be repeated customers so we will calculate probabilities for all. However excel can help us in this. There is a built in function called BINOM.DIST() which calculates binomial probability.

I will show you 1 part by hand to make you understand what actually excel is doing and rest will be calculated by excel.

so below I have calculated by hand probability of 5 repeated customers out of 10.

so for X=0 to X=10 the distribution is

total is one(1) which verifies that this is a valid probability distribution.

I hope this helps you.

please upvote

thanks


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