Question
In: Statistics and Probability
A certain tennis player makes a successful first serve 66% of the time. Assume that each...
A certain tennis player makes a successful first serve 66% of the time. Assume that each serve is independent of the others. If she serves 5 times, what's the probability she gets a) all 5
serves in? b) exactly 4 serves in? c) at least 3 serves in? d) no more than 4 serves in?
a) The probability that she gets all 5 serves in is __________.
(Round to three decimal places as needed.).
b) The probability she gets exactly 4 serves in is ________.
(Round to three decimal places as needed.)
c) The probability she gets at least 3 serves in is ____________.
(Round to three decimal places as needed.)
d) The probability that there are no more than 4 serves in is _____________.
(Round to three decimal places as needed.)
Solutions
Expert Solution
The probability of different events treated by binomial distribution
orchestra answered 2 years agoRelated Solutions
A certain tennis player makes a successful first serve 61% of the time. Assume that each...
A certain tennis player makes a successful first serve 61% of
the time. Assume that each serve is independent of the others. If
she serves 8 times, what's the probability she gets a) all 8
serves in? b) exactly 2 serves in? c) at least 6 serves in? d)
no more than 7 serves in?
A certain tennis player makes a successful first serve 76% of the time. Suppose the tennis...
A certain tennis player makes a successful first serve 76% of
the time. Suppose the tennis player serves 50 times in a match.
What's the probability that she makes at least 42 first
serves?
A certain tennis player makes a successful first serve 74% of the time. Suppose the tennis...
A certain tennis player makes a successful first serve 74% of
the time. Suppose the tennis player serves 110 times in a match.
What's the probability that she makes at least 86 first
serves?
5. A tennis player makes a successful first serve 51% of the time. Assume that each...
5. A tennis player makes a successful first serve 51% of the
time. Assume that each serve is independent of the others. If she
serves 9 times, what is the probability that she gets at most 3
successful first serves in?
6. The overhead reach distances of adult females are normally
distributed with a mean of 202.5 cm and a standard deviation of 8.3
cm. Find the probability that the mean for 25 randomly selected
distances is greater than 200.30...
a) The probability of the first serve is good for a tennis player is denoted by...
a) The probability
of the first serve is good for a tennis player is denoted by p. A
player decides to increase p by taking a training program. After
the training program completed, the player wishes to test Ho : p =
0.40 against HI : p > 0.40 . Let y be the number of first serve
is good. Given that the total number of first serve, n = 20 and the
critical region of the test is y...
If the probability that a certain tennis player will serve an ace is 1/ 6 ,...
If the probability that a certain tennis player will serve an
ace is 1/ 6 , what is the probability that he will serve exactly
four aces out of six serves? (Assume that the six serves are
independent. Round your answer to four decimal places.)
Roger is a tennis player, he performs a serve with a 0.68 kg tennis racket. The...
Roger is a tennis player, he performs a serve with a 0.68 kg
tennis racket. The serve took 0.4 s from the back of the swing
until ball impact. The angular velocity of the racket at the start
of the serve is zero, and it reaches a peak value equal to 29
rad.s-1 at the instant of ball impact. The
peak linear velocity of the racket at the center of gravity is
equal to 13.6 m.s-1.
Calculate the moment of...
30. The speed of college tennis player Jaron Jackson’s first serve averages 125 mph, with a...
30. The speed of college tennis player Jaron Jackson’s first
serve averages 125 mph, with a standard deviation of 4 mph. If the
distribution of service speeds is normal, what proportion of
Jaron’s serves will be between 120 and 130 mph?
a. .6232
b. .8421
c. .9736
d. .7888
e. .7226
31. The speed of college tennis player Jaron Jackson’s first serve averages 125 mph, with a...
31. The speed of college tennis player Jaron Jackson’s first
serve averages 125 mph, with a standard deviation of 4 mph. If the
distribution of service speeds is normal, what proportion of
Jaron’s serves will be between 131 and 133 mph?
a. .0035
b. .044
c. .0923
d. .1087
e. .036
For a top player, a tennis ball may leave the racket on the serve with a...
For a top player, a tennis ball may leave the racket on the
serve with a speed of 55 m/s (about 120 mi/h). If the ball has a
mass of 0.060 kg and is in contact with the racket for about 4 ms
(4 x 10-3 s), estimate the average force on the ball.
Would this force be large enough to lift a 60-kg person?
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