Suppose a geyser has a mean time between eruptions of 65 minutes. Let the interval time between the eruptions be normally distributed with standard deviation 25 minutes. Complete parts (a) through (e) below. (a) What is the probability that a randomly selected time interval between eruptions is longer than 77 minutes? The probability that a randomly selected time interval is longer than 77 minutes is approximately (Round to four decimal places as needed.)
Suppose a geyser has a mean time between eruptions of 65 minutes. Let the interval time between the eruptions be normally distributed with standard deviation 25 minutes. Complete parts (a) through (e) below. (a) What is the probability that a randomly selected time interval between eruptions is longer than 77 minutes? The probability that a randomly selected time interval is longer than 77 minutes is approximately (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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How would I even begin or do any of this?
I know the mean is : 65 & the standard deviation is: 25, n = 77.
But how would I go about getting the answer?
I got normalcdf(77, E99, 65, 25)
but my answer is never right - according to my teacher....
What am I doing wrong?
![**Text Transcription for Educational Website:**
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Suppose a geyser has a mean time between eruptions of 65 minutes. Let the interval of time between the eruptions be normally distributed with a standard deviation of 25 minutes. Complete parts (a) through (e) below.
(a) What is the probability that a randomly selected time interval between eruptions is longer than 77 minutes?
The probability that a randomly selected time interval is longer than 77 minutes is approximately [ ].
(Round to four decimal places as needed.)
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**Explanation:**
The problem describes a situation where the time intervals between geyser eruptions follow a normal distribution. The mean of these intervals is 65 minutes, with a standard deviation of 25 minutes.
For part (a), the task is to calculate the probability that a randomly selected interval exceeds 77 minutes. This involves using the properties of the normal distribution to determine the likelihood of this event.
To solve this, you would typically use the standard normal distribution (z-table) or a statistical software tool to find the z-score, and then the corresponding probability for this z-score.
The box "[ ]" indicates where the numerical answer should be placed after performing the calculations and rounding to four decimal places as specified.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa18a9979-f2aa-4fa0-8bff-f608398d9e62%2Ff6ebecc3-f469-4b2e-8faa-0eb3930f2a93%2Faflu2mc_processed.png&w=3840&q=75)
Transcribed Image Text:**Text Transcription for Educational Website:**
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Suppose a geyser has a mean time between eruptions of 65 minutes. Let the interval of time between the eruptions be normally distributed with a standard deviation of 25 minutes. Complete parts (a) through (e) below.
(a) What is the probability that a randomly selected time interval between eruptions is longer than 77 minutes?
The probability that a randomly selected time interval is longer than 77 minutes is approximately [ ].
(Round to four decimal places as needed.)
---
**Explanation:**
The problem describes a situation where the time intervals between geyser eruptions follow a normal distribution. The mean of these intervals is 65 minutes, with a standard deviation of 25 minutes.
For part (a), the task is to calculate the probability that a randomly selected interval exceeds 77 minutes. This involves using the properties of the normal distribution to determine the likelihood of this event.
To solve this, you would typically use the standard normal distribution (z-table) or a statistical software tool to find the z-score, and then the corresponding probability for this z-score.
The box "[ ]" indicates where the numerical answer should be placed after performing the calculations and rounding to four decimal places as specified.
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