8.1.22Question HelpSuppose a geyser has a mean time between eruptions of 97 minutes. If the interval of time between the eruptions is normally distributed with standard deviation20 minutes, answer the following questions.(a) What is the probability that a randomly selected time interval between eruptions is longer than 105 minutes?The probability that a randomly selected time interval is longer than 105 minutes is approximately 0.3446. (Round to four decimal places as needed.)(b) What is the probability that a random sample of 16 time intervals between eruptions has a mean longer than 105 minutes?(Round to four decimal places as needed.)The probability that the mean of a random sample of 16 time intervals is more than 105 minutes is approximately

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Asked Nov 14, 2019
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8.1.22
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Suppose a geyser has a mean time between eruptions of 97 minutes. If the interval of time between the eruptions is normally distributed with standard deviation
20 minutes, answer the following questions.
(a) What is the probability that a randomly selected time interval between eruptions is longer than 105 minutes?
The probability that a randomly selected time interval is longer than 105 minutes is approximately 0.3446. (Round to four decimal places as needed.)
(b) What is the probability that a random sample of 16 time intervals between eruptions has a mean longer than 105 minutes?
(Round to four decimal places as needed.)
The probability that the mean of a random sample of 16 time intervals is more than 105 minutes is approximately
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8.1.22 Question Help Suppose a geyser has a mean time between eruptions of 97 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 20 minutes, answer the following questions. (a) What is the probability that a randomly selected time interval between eruptions is longer than 105 minutes? The probability that a randomly selected time interval is longer than 105 minutes is approximately 0.3446. (Round to four decimal places as needed.) (b) What is the probability that a random sample of 16 time intervals between eruptions has a mean longer than 105 minutes? (Round to four decimal places as needed.) The probability that the mean of a random sample of 16 time intervals is more than 105 minutes is approximately

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Expert Answer

Step 1

From the given information, mean (μ) = 97 minutes and standard deviation (σ) = 20minutes.

Let ‘X’ be a normal distribution random variable.

Step 2

(a) The probability that a randomly selected time interval between eruptions is longer than 105 minutes is,

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X-105-97 P(X>105)1-P 20 =1-P(Zs 0.40) (From standard normal table) P(X>105) 1-0.65542 0.34458 0.3446 for 4 decimal places P(X>105)-0.3446

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Step 3

Therefore, the probability that a randomly selected time interva...

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