Let X represent the number of homes a real estate agent sells during a given month. Based on previous sales records, she estima
tes that Upper P (0 )equals 0.60, Upper P (1 )equals 0.23, Upper P (2 )equals 0.11, Upper P (3 )equals 0.04, Upper P (4 )equals 0.02, with negligible probability for higher values of x. a. Explain why it does not make sense to compute the mean of this probability distribution as (0 plus 1 plus 2 plus 3 plus 4 )divided by 5 equals 2.0. b. Find the correct mean and interpret.
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Answer:
If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams
Step-by-step explanation:
Mean =
Standard deviation =
We are supposed to find If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams i.e.P(X>x)=0.02
The mean weight is in the highest 2%, you want to go to a z-table and find the z-score that where the area to the left of the curve is closest to 0.98.
n = 27
Refer the z -table
P(Z>x)=2.06
So, If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams