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First two bins of a group data distribution

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Reference no: EM131941928

1. Suppose the first two bins of a group data distribution are 12.0 to 14.9, and 15.0 to 16.9.

(a) What is the MIDPOINT of the 3rd bin?

(b) What is the lower BOUNDARY of the 3rd bin?

2. The distribution of X is normally distributed with mean µ=78.6 and standard deviation σ= 8.56.

(a) What proportion of X is larger than 82.2?

(b) Find x0, to one decimal place, such that P(X>x0) = 0.63

(c) If we know that X is less than 76.4, what is the probability that X is more than 73.0?

(d) If four data values are selected at random from X, what is the probability at least one of the data values selected is larger than 78.6?

Reference no: EM131941928

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