Jane has several legal documents to type. Jane completes an average of 7 documents per 15 minutes. Her completion of one documen
t is independent of any other one.
a) Let N be the number of documents Jane completes between 9:00am and 10:00am. What are the distribution, parameter(s), and support of N?
b) Determine the probability that Jane completes 30 documents between 9:00am and 10:00am.
c) What is the probability that Jane completes 58 documents between 2:00pm and 4:00pm.
d) Determine the probability that Jane completes 30 documents between 9:00am and 10:00am and 40 documents between 1:00pm and 2:30pm.
e) What is the standard deviation for the number of documents Jane will complete between 3:00pm and 5:45pm?
f) If Jane is paid at a rate of 1 dollar and 25 cents per document how much can she expect to make for a day in which she has 6 and a half hours of straight typing?
a) Let N be the number of documents Jane completes between 9:00am and 10:00am. What are the distribution, parameter(s), and support of N?
b) Determine the probability that Jane completes 30 documents between 9:00am and 10:00am.
c) What is the probability that Jane completes 58 documents between 2:00pm and 4:00pm.
d) Determine the probability that Jane completes 30 documents between 9:00am and 10:00am and 40 documents between 1:00pm and 2:30pm.
e) What is the standard deviation for the number of documents Jane will complete between 3:00pm and 5:45pm?
f) If Jane is paid at a rate of 1 dollar and 25 cents per document how much can she expect to make for a day in which she has 6 and a half hours of straight typing?
1 answer:
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Answer:
(a) 0.2061
(b) 0.2514
(c) 0
Step-by-step explanation:
Let <em>X</em> denote the heights of women in the USA.
It is provided that <em>X</em> follows a normal distribution with a mean of 64 inches and a standard deviation of 3 inches.
(a)
Compute the probability that the sample mean is greater than 63 inches as follows:
Thus, the probability that the sample mean is greater than 63 inches is 0.2061.
(b)
Compute the probability that a randomly selected woman is taller than 66 inches as follows:
Thus, the probability that a randomly selected woman is taller than 66 inches is 0.2514.
(c)
Compute the probability that the mean height of a random sample of 100 women is greater than 66 inches as follows:
Thus, the probability that the mean height of a random sample of 100 women is greater than 66 inches is 0.