4) An association football (soccer) striker never hits the ball above the crossbar. However, in the...

4) An association football (soccer) striker never hits the ball above the crossbar. However, in the horizontal direction, his strikes are normally distributed and centered 3 feet to the left of the goal center with a standard deviation of 8 feet. What is the probability that he will score a goal on a given attempt? (Hint: You need to first find the width of a soccer goal. Also, assume that all strikes in the goal region result in a goal.)

Expert Solution

Let X be the distance from the goal center (in the horizontal direction) that the striker strikes on any given attempt, such that X is positive if it is to the right of the goal center and is negative if it is to the left of the goal center. We can say that X has a normal distribution with mean (it is towards the left of goal center) and standard deviation

The width of a soccer goal is 24 feet. The striker will score if he strikes within 12 feet from the goal center.

the probability that he will score a goal on a given attempt is

ans: the probability that he will score a goal on a given attempt is 0.8407

orchestra answered 1 year ago

A batter hits a pitched ball when the center of the ball is 0.9 m above...

A batter hits a pitched ball when the center of the ball is 0.9 m above the ground. The ball leaves the bat at an angle of 45 degrees with the ground. With that launch, the ball should have a horizontal range (returning to the launch level) of 100 m. The ball is hit toward a 7 m high fence that is 88 m away from the launch point. Find the distance between the top of the fence and the...

A batter hits a pitched ball when the center of the ball is 1.28 m above...

A batter hits a pitched ball when the center of the ball is 1.28 m above the ground.The ball leaves the bat at an angle of 45° with the ground. With that launch, the ball should have a horizontal range (returning to the launch level) of 107 m. (a) Does the ball clear a 8.22-m-high fence that is 97.0 m horizontally from the launch point? (b) At the fence, what is the distance between the fence top and the ball...

1) A 0.490 kg soccer ball is kicked and hits a 2.45 kg stationary tether ball...

1) A 0.490 kg soccer ball is kicked and hits a 2.45 kg stationary tether ball hanging from a 1.49 m tether resulting in a perfectly elastic collision. If the tether ball swings out at a maximum angle of 45.4°, what was the soccer ball's velocity before the collision? 2) A 5.27 g pellet is shot horizontally from a BB gun at a speed of 15.2 m/s into a 21.1 g wooden block. The wooden block is attached to a...

the pitcher in a football game releases the ball at 0.9m above the ground level. the...

the pitcher in a football game releases the ball at 0.9m above the ground level. the ball take 1.51 s to reach another player, which is 18.0m away, also at a height of 0.9m above the ground. a) what is the horizontal component of the initial velocity of the ball? b) what is the vertical component of the initial velocity of the ball? c) at what time during the flight will the ball reach the maximum height? what is its...

A soccer player takes a corner kick, lofting a stationary ball 36.0° above the horizon at...

A soccer player takes a corner kick, lofting a stationary ball 36.0° above the horizon at 16.0 m/s. If the soccer ball has a mass of 0.425 kg and the player's foot is in contact with it for 4.80 ✕ 10−2 s, find the x- and y-components of the soccer ball's change in momentum and the magnitude of the average force exerted by the player's foot on the ball. (a) the x- and y-components of the soccer ball's change in...

Question