Q There is a famous single chair hair styling salon in town. Suppose, customers arrive at that saloon at a Poisson rate of 1 per 30 minutes and there th service time is exponentially distributed at a rate of 1 customer per every 30 minutes. a.Find the proportion of time that there is no customer in the salon (Input your answer in fraction not in decimal or integer). b. Average number of customers in the salon. (Input your answer in integer or whole number not in decimal or fraction) c. Find the mean amount of time a customer spends at the salon (Input your answer in integer or whole number (in hour). d. Find the probability that there will be at most 4 customers in the salon at any time (Input your answer in fraction not in decimal or integer). e. Find the probability that a customer spends at most 40 minutes in the salon (Input your answer up to two decimal place).

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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.