For the purposes of constructing modified boxplots, outliers are defined as data values that are above q3 by an amount greater than 1.5×iqr or below q1 by an amount greater than 1.5×iqr, where iqr is the interquartile range. using this definition of outliers, find the probability that when a value is randomly selected from a normal distribution, it is an outlier.

0.0602

Step-by-step explanation:

Given that a value is randomly selected from a normal distribution at random.

To find the probability that the value is an outlier

Z score (std) for Q1 = 0.675 and Q3 ==0.675

IQR = 1.250

1.5xIQR =1.875

P(outlier) = P(Z<-1.875 or Z>1.875)

=2(0.5-0.4699)

= 0.0602

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²