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Scientists studied the relationship between the length of the body of a bullfrog and how far it can jump. Mean body length is 149.64 mm

Scientists studied the relationship between the length of the body of a bullfrog and how far it can jump. Mean body length is 149.64 mm and the standard deviation is 14.47 mm. The mean maximum jump is 103.99 cm and the standard deviation is 17.94 cm. The correlation between body length and maximum jump is 0.28. The two random variables follow a bivariate normal distribution.

(i) What jump size should be expected in a bullfrog that is 140 mm long?

(ii) What is the probability that jump size is larger than 100 in a randomly chosen bullfrog?

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