For this problem, you must use Excel to perform the necessary calculations. Below are the formulas and equations you will need to use. Click on the image below to download a power point version if the text is blurry or too small. If it is appropriate to use the binomial distribution, use the formula =binom.dist(number_s,trials,probability,cumulative) to calculate the probability. In this formula, number_s is the number of successful trials, trials is the total number of trials, probability is the probability for a single trial expressed as a decimal, and cumulative should be set as false. This will report the binomial distribution probability for a single outcome. You are tasked with reporting a cumulative probability. If it is appropriate to use the normal approximation of the binomial distribution, calculate Z using the correct equation from the option below, and then use either the formula =(1-(norm.dist(Z,0,1,TRUE))) when calculating a right-tailed probability or the formula =(norm.dist(Z,0,1,TRUE)) for a left-tailed probability. Right-tailed tests find probabilities for X2 observed while left-tailed tests find probabilities for Xs observed Observed - - np Observed + - np 2 Pr[X 2 Observed] = or Pr[X s Observed] = Pr| Z < Vnp(1- p) Vnp(1- p)

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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In Europe, 53% of the flowers of the Rewardless Orchid, Dactylorhiza sambucina, are yellow, whereas the remaining flowers are purple. For this problem, only use the normal approximation where it is appropriate. Use the binomial distribution where the normal approximation is inappropriate.

If we took a random sample of a single individual from this population, what is the probability, reported as a percent, that it would be purple?

Determine the probability, reported as a decimal rounded to two decimal places, that if we took a random sample of 6 flowers, at least 4 would be purple.

If we took a random sample of 260 individuals, what is the probability, reported as a decimal rounded to four decimal places, that 150 or more of the orchids are purple?

For this problem, you must use Excel to perform the necessary calculations. Below are the formulas and equations you
will need to use. Click on the image below to download a power point version if the text is blurry or too small.
If it is appropriate to use the binomial distribution, use the formula
=binom.dist(number_s,trials,probability,cumulative) to calculate the
probability. In this formula, number_s is the number of successful
trials, trials is the total number of trials, probability is the probability for a
single trial expressed as a decimal, and cumulative should be set as false.
This will report the binomial distribution probability for a single outcome. You
are tasked with reporting a cumulative probability.
If it is appropriate to use the normal approximation of the binomial
distribution, calculate Z using the correct equation from the option below,
and then use either the formula =(1-(norm.dist(Z,0,1,TRUE))) when
calculating a right-tailed probability or the formula =(norm.dist(Z,0,1,TRUE))
for a left-tailed probability.
Right-tailed tests find probabilities for X2 observed while left-tailed tests find
probabilities for Xs observed
Observed -
- np
Observed +
- np
2
Pr[X 2 Observed] =
or Pr[X s Observed] = Pr| Z <
Vnp(1- p)
Vnp(1- p)

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