Based on the information given, it should be noted that the probability that the mean value is less will be 0.9863.
From the complete information, the mean of the distribution is $403,000 and the standard deviation is $278,000 and the number of houses is 40.
Therefore, the probability that the mean value of the 40 houses is less than 500000 will be:
= P [Z < (500000 - 403000)/43955.66)
= P(Z < 2.2067)
Looking at the z value, this will be 0.9863.
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