Recently, an estate agent received complaints about the condition of several houses that he sold. The estate agent conducted an analysis and found that 5% of all houses that he sold are not in good condition after 2 years. A sample of 20 houses that he sold is selected at random. Let X be the number of houses in this sample which are not in good condition after 2 years. (i) Find the mean and standard deviation for this distribution. (ii) Calculate the probability that exactly 3 houses are not in good condition after 2 years.

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Mean, Standard Deviation, Probability

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Recently, an estate agent received complaints about the condition of several
houses that he sold. The estate agent conducted an analysis and found that 5%
of all houses that he sold are not in good condition after 2 years. A sample of 20
houses that he sold is selected at random. Let X be the number of houses in this
sample which are not in good condition after 2 years.
(i)
Find the mean and standard deviation for this distribution.
(ii)
Calculate the probability that exactly 3 houses are not in good condition
after 2 years.
Transcribed Image Text:Recently, an estate agent received complaints about the condition of several houses that he sold. The estate agent conducted an analysis and found that 5% of all houses that he sold are not in good condition after 2 years. A sample of 20 houses that he sold is selected at random. Let X be the number of houses in this sample which are not in good condition after 2 years. (i) Find the mean and standard deviation for this distribution. (ii) Calculate the probability that exactly 3 houses are not in good condition after 2 years.
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