Garden. A company selling vegetable seeds in packets of 20 estimates that the mean number of seeds that will actually grow is 18, with a standard deviation of 1.2 seeds. You buy 5 different seed...

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Garden. A company selling vegetable seeds in packets of 20 estimates that the mean number of seeds that will actually grow is 18, with a standard deviation of 1.2 seeds. You buy 5 different seed packets.


a) How many bad seeds do you expect to get?


b) What’s the standard deviation?


c) What assumptions did you make about the seeds? Do you think that assumption is warranted? Explain.




Answered Same DayDec 25, 2021

Answer To: Garden. A company selling vegetable seeds in packets of 20 estimates that the mean number of seeds...

Robert answered on Dec 25 2021
141 Votes
Let Xi be the number of seeds that grow from ith packet.
A Expectation
Expected number of seeds th
at grow = E(

Xi) =

E(Xi) = n ∗ E(X1) =
5 ∗ 18 = 90
Expected number of seeds that grow = 90
B Standard Deviation
Using independence, V ar(

Xi) =

V ar(Xi) = n ∗ V ar(X1) = 5 ∗ 1.22 =...
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