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normally distributed with a mean of 4.00 s and a standard deviation of 0.70 A safety light is designed so that the times between flashes are a. Find the probability that an individual time is greater than 5.00 s. b. Find the probability that the mean for 50 randomly selected times is greater than 5.00s c. Given that the light is intended to help people b. The probability is approximately (Round to four decimal places as needed.)
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Answer #1

a.

The probability that X5 is equal to the blue area under the curve. 0.6 0.5 y 0.3 0.2 0.1 1.5 2.02.5 .0 3.S 4.0 45 .0 .5 .5 Step 2: Since μ-4 and σ 0.7 we have: Since Z = _ and 1.43 we have: 0.7 Step 3: Use the standard normal table to conclude that: P (Z 1.43) 0.0764b)

c)

Result in part a is more relevant as even one miss may result in a fatal accident

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