In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 68.5 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below The probability that the study participant selected at random is less than 67 inches tall is. (Round to four decimal places as needed.) (b) Find the probability that a study participant has a height that between 67 and 70 inches. The probability that the study participant selected at random is between 67 and 70 inches tall is (Round to four decimal places as needed.) (c) Find the probability that a study participant has a height that is more than 70 inches. The probability that the study participant selected random is more than 70 inches tall is (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning Choose the correct answer below. O A. The events in parts (a) and (c) are unusual because its probabilities are less than 0.05. O B. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05. O C. There are no unusual events because all the probabilities are greater than 0.05. O D. The event in part (a) is unusual because its probability is less than 0.05.
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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![In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 68.5 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. Complete parts (a) through (d)
below.
The probability that the study participant selected at random is less than 67 inches tall is (Round to four decimal places as needed.)
(b) Find the probability that a study participant has a height that is between 67 and 70 inches.
The probability that the study participant selected at random is between 67 and 70 inches tall is
(Round to four decimal places as needed.)
(c) Find the probability that a study participant has a height that is more than 70 inches.
The probability that the study participant selected at random is more than 70 inches tall is
(Round to four decimal places as needed.)
(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
O A. The events in parts (a) and (c) are unusual because its probabilities are less than 0.05.
O B. The events in parts (a). (b), and (c) are unusual because all of their probabilities are less than 0.05.
O C. There are no unusual events because all the probabilities are greater than 0.05.
O D. The event in part (a) is unusual because its probability is less than 0.05.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff76f7a34-206d-42c9-9c55-ed9c63cc7f2d%2F1506ecb4-5da8-4e85-9d77-c316ad52036a%2F4sfhzya_processed.jpeg&w=3840&q=75)
![In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 68.5 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. Complete parts (a) through (d)
below.
(a) Find the probability that a study participant has a height that is less than 67 inches.
The probability that the study participant selected at random is less than 67 inches tall is (Round to four decimal places as needed.)
(b) Find the probability that a study participant has a height that is between 67 and 70 inches.
The probability that the study participant selected at random is between 67 and 70 inches tall is
(Round to four decimal places as needed.)
(c) Find the probability that a study participant has a height that is more than 70 inches.
The probability that the study participant selected at random is more than 70 inches tall is
(Round to four decimal places as needed.)
(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
O A. The
ents in parts (a) and (c) are unusual because its probabilities are less than 0.05.
O B. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05.
O C. There are no unusual events because all the probabilities are greater than 0.05.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff76f7a34-206d-42c9-9c55-ed9c63cc7f2d%2F1506ecb4-5da8-4e85-9d77-c316ad52036a%2Fitybecv_processed.jpeg&w=3840&q=75)
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