Questions PT 1. I. The mean daily production of a herd of cows is assumed to...

Questions PT 1.

I. The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 32 liters, and standard deviation of 10.6 liters.
What is the probability that daily production is between 47.4 and 59.6 liters? Do not round until you get your your final answer.

II. A distribution of values is normal with a mean of 9.4 and a standard deviation of 48.1.
Find the probability that a randomly selected value is greater than -72.4.
P(X > -72.4) =

III. A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 145.8-cm and a standard deviation of 1.8-cm.
Find the probability that the length of a randomly selected steel rod is less than 145.8-cm.
P(X < 145.8-cm) =

IV. In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.1 inches, and standard deviation of 2.3 inches.
A) What is the probability that a randomly chosen child has a height of less than 59.55 inches?
B) What is the probability that a randomly chosen child has a height of more than 51.6 inches?

V. A particular fruit's weights are normally distributed, with a mean of 476 grams and a standard deviation of 31 grams. The heaviest 13% of fruits weigh more than how many grams? Answer to the nearest gram.

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orchestra answered 1 year ago

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