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In: Statistics and Probability

A) A sample of 150 is drawn from a population with a proportion equal to 0.40....

A) A sample of 150 is drawn from a population with a proportion equal to 0.40. Determine the probability of observing between 49 and 54 successes.

​P(Observing between 49 and 54 ​successes)equals=

B) A professional baseball pitcher takes 15.83 seconds to throw each​ pitch, on average. Assume the​ pitcher's times per pitch follow the normal probability distribution with a standard deviation of 2.2 seconds. Complete parts a through d.

a. What is the probability that a random sample of 20 pitches from this pitcher will have a mean less than 15 seconds?

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Expert Solution

A) A sample of 150 is drawn from a population with a proportion equal to 0.40. Determine the probability of observing between 49 and 54 successes.

​P(Observing between 49 and 54 ​successes)equals=

Note :

49 success in turns of proportion = 49/150 = 0.3267

54 success in turns of proportion = 54/150 = 0.36

B) A professional baseball pitcher takes 15.83 seconds to throw each​ pitch, on average. Assume the​ pitcher's times per pitch follow the normal probability distribution with a standard deviation of 2.2 seconds. Complete parts a through d.

a. What is the probability that a random sample of 20 pitches from this pitcher will have a mean less than 15 seconds?

orchestra answered 3 years ago
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