Suppose a geyser has a mean time between eruptions of91 minutes.Let the interval of time between the eruptions be normally distributed with standard deviation20 minutes.Complete parts (a) through (e) below. Question content area bottomPart 1(a) What is the probability that a randomly selected time interval between eruptions is longer than101minutes?Part 2The probability that a randomly selected time interval is longer than101minutes is approximatelyenter your response here.(Round to four decimal places as needed.)Part 3(b) What is the probability that a random sample of10time intervals between eruptions has a mean longer than101minutes?Part 4The probability that the mean of a random sample of10time intervals is more than101minutes is approximatelyenter your response here.(Round to four decimal places as needed.)Part 5(c) What is the probability that a random sample of20time intervals between eruptions has a mean longer than101minutes?Part 6The probability that the mean of a random sample of20time intervals is more than101minutes is approximatelyenter your response here.(Round to four decimal places as needed.)

Given that. X~N( μ , ?^2 ) μ=91 , ?=20 Z-score =( x - μ )/?

Answered: Suppose a geyser has a mean time…

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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Question content area bottom

Part 1

(a) What is the probability that a randomly selected time interval between eruptions is longer than

101

minutes?

Part 2

The probability that a randomly selected time interval is longer than

101

minutes is approximately

enter your response here.

(Round to four decimal places as needed.)

Part 3

(b) What is the probability that a random sample of

time intervals between eruptions has a mean longer than

101

minutes?

Part 4

The probability that the mean of a random sample of

time intervals is more than

101

minutes is approximately

enter your response here.

(Round to four decimal places as needed.)

Part 5

time intervals between eruptions has a mean longer than

101

minutes?

Part 6

The probability that the mean of a random sample of

time intervals is more than

101

minutes is approximately

enter your response here.

(Round to four decimal places as needed.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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