1 Mendelian Genetics When Mendel conducted hid famous geneti

1. Mendelian Genetics. When Mendel conducted hid famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the exoected value of 3/4, as claimed by Mendel.

2. Credit Card Purchases. In a survey, 169 respondents say that they never use a credit card, 1227 say that they use it sometimes, and 2834 say that they use it frequently. What is the probability that a randomly selected person uses a credit card frequently? Is it unlikely for someone to use a credit card frequently? How are all of these results affected by the fact that the responses were obtained by those who decided to respond to the survey posted on the internet by america online?

3. Cell Phone While Driving. In a New York Times/ CBS News poll, respondents were asked if it should be legal or illegal to use hand held cell phones while driving. 141 said that should be legal, and 663 said that it should be illegal. what is the probability of randomly selecting someone who believes it should be legal to use a hand held cell phone while driving? is it unlikely to randomly select someone with that belief?

Solution

(1) the probability of getting an offspring pea that is green is

428/(428+152) = 0.737931

Yes, the result is reasonably close to the exoected value of 3/4, as claimed by Mendel

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(2) So the probability that a randomly selected person uses a credit card frequently is

2834/(2834+1227+169) = 0.6699764

No, it is likely for someone to use a credit card frequently because the probability is more than 0.05.

Internet affects the responses

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(3) So the probability of randomly selecting someone who believes it should be legal to use a hand held cell phone while driving is

141/(141+663) = 0.1753731

No, it is not unlikely to randomly select someone with that belief because the probability is more than 0.05