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# \$20.00probability (statistics)

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1. Probability of a birthday.

a)If a person is randomly selected, find the probability that his or her birthday is October 18, which is National Statistics Day in Japan. Ignore leap years.

P( birthday is October 18)=

b)If a person is randomly selected, find the probability that his or her birthday is in the month of September. Ignore leap years.

P9 birthday is a day in September)=

2. A police department reports that the probabilities that 0,1,2,3 and 4 car thefts will be reported in a given day are 0.150,0.284,0.270, 0.171, and 0.081, respectively. Determine whether this is a probability distribution. If not, identify the requirement that is not satisfied.

3. When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 580 peas, and Mendel theorized that 25% of them would be yellow peas.

a) If Mendel's theory is correct, find the mean and standard deviation for the numbers of yellow peas in such groups of 580 offspring peas.

b) The actual results consisted of 152 yellow pease. Is that result unusual? What does this result suggest about Mendel's theory?

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Probability and Mendel's Peas
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Preview: ... hday is October 18)=<br><br>Assuming that any particular day of the year is equally likely, then the probability of being born on October 18th is the same as any other day. Since there are 365 days in a year, the probability of being born on any one day is 1 / 365. So P( birthday is October 18) = 1/365.<br><br><br>b)If a person is randomly selected, find the probability that his or her birthday is in the month of September. Ignore leap years.<br><br>There are ...

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Preview: ... 71, and 0.081, respectively. Determine whether this is a probability distribution. If not, identify the requirement that is not satisfied.<br><br>It is not a probability distribution, since, the total of 0.150,0.284,0.270, 0.171, and 0.081 is not 1 of is not 100%.<br><br><br>3. When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 58 ...

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