Answered: When a scientist conducted a genetics…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.7: Introduction To Coding Theory (optional)

Problem 7E

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When a scientist conducted a genetics experiments with peas, one sample of offspring consisted of

945

peas, with

719

of them having red flowers. If we assume, as the scientist did, that under these circumstances, there is a

3/4

probability that a pea will have a red flower, we would expect that

708.75

(or about

709)

of the peas would have red flowers, so the result of

719

peas with red flowers is more than expected.

a. If the scientist's assumed probability is correct, find the probability of getting

719

or more peas with red flowers.

b. Is

719

peas with red flowers significantly high?

c. What do these results suggest about the scientist's assumption that

3/4

of peas will have red flowers?

a. If the scientist's assumed probability is correct, the probability of getting

719

or more peas with red flowers is

nothing.

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Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the probability of transmitting a 4-bit code word with (a) at most one error, and (b) exactly four errors.
According to a recent marketing campaign, 00 drinkers of either Diet Coke or Diet Pepsi participated in a blind taste test to see which of the drinks was their favorite. In one Pepsi television commercial, an anouncer states that "in recent blind taste tests, more than one half of the surveyed preferred Diet Pepsi over Diet Coke." Suppose that out of those 100, 59 preferred Diet Pepsi. Test the hypothesis, using ?=0.05α=0.05 that more than half of all participants will select Diet Pepsi in a blind taste test by giving the following:
According to a recent marketing campaign, 100100 drinkers of either Diet Coke or Diet Pepsi participated in a blind taste test to see which of the drinks was their favorite. In one Pepsi television commercial, an anouncer states that "in recent blind taste tests, more than one half of the surveyed preferred Diet Pepsi over Diet Coke." Suppose that out of those 100100, 5757 preferred Diet Pepsi. Test the hypothesis, using ?=0.01α=0.01 that more than half of all participants will select Diet Pepsi in a blind taste test by giving the following: (a) the test statistic (b) the critical ?z score

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