Question

A safety light is designed so that the times between flashes are normally distributed with a mean of

3.50 s and a standard deviation of 0.40 s.

**a.** Find the probability that an individual time
is greater than 4.00s.

**b.** Find the probability that the mean for 60
randomly selected times is greater than 4.00 s.

**c.** Given that the light is intended to help
people see an obstruction, which result is more relevant for
assessing the safety of the light?

- The probability is approximately _____ (round to four decimal places as needed)
- The probability is approximately_______ (round to four decimal places as needed)
- Choose the correct answer

____(A) part (a) is more

A.___ Part (a) is more significant because the times of a single
strobe is important.

B.____ Part (b) is more significant because the times of a single strobe is important

C.____ Part (a) is more significant because the average time for a sample is important.

D.___Part (b) is more significant because the average time for a sample is important

Answer #1

A safety light is designed so that the times between flashes are normally distributed with a

mean of 3.50 s and a standard deviation of 0.40 s.

**a.** Find the probability that an individual time
is greater than 4.00s.

**P ( x > 4.00 ) = P ( Z > 1.25 ) =
0.1056**

The probability is approximately **0.1056**

**b.** Find the probability that the mean for 60
randomly selected times is greater than 4.00 s.

n = 60

**P ( x bar > 4.00 ) = P ( Z > 9.68 ) =
0.0000**

The probability is approximately **0.0000**

**c.** Given that the light is intended to help
people see an obstruction, which result is more relevant for
assessing the safety of the light?

**D.___Part (b) is more significant because the average
time for a sample is important**

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his weight is between 150lb and 211lb. The probability is
approximately _______. (Round to four decimal places as
needed.)
b. If different pilots are randomly selected,...

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The probability is approximately________.
(Round to four decimal places as needed.)
b....

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b....

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The overhead reach distances of adult females are normally
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and a standard deviation of
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a. Find the probability that an individual distance is greater
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212.50212.50
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2525
randomly selected distances is greater than 201.20 cm.201.20
cm.
c. Why can the normal distribution be used in part (b), even
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a. The probability is
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The probability is
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