Exercise 27 Page 828

We want to estimate how many seeds of each variety we can expect if 2014 seeds were produced. To do so, let's first convert the given probabilities from percents to decimals.

Percent	Decimal
P(yellow, round)=56.25 %	P(yellow, round)=0.5625
P(yellow, wrinkled)=18.75 %	P(yellow, wrinkled)=0.1875
P(green, round)=18.75 %	P(green, round)=0.1875
P(green, wrinkled)=6.25 %	P(green, wrinkled)=0.0625

Next, we will consider the following formula that allows us to find the estimated number of seeds of one of the varieties we are interested in. We will denote the total number of produced seeds as t and the estimated number of yellow, round seeds as y. y = P(yellow, round) * t We will analyze 2014 produced seeds, so we can substitute 2014 for t. We know from the table that the probability that the seed will be yellow and round is equal to 0.5625. This means that we can substitute 0.5625 for P(yellow, round).

y = P(yellow, round) * t

SubstituteII

P(yellow, round)= 0.5625, t= 2014

y = 0.5625 * 2014

Multiply

Multiply

y = 1132.875

RoundInt

Round to nearest integer

y ≈ 1133

We will follow this procedure and find the estimated number of seeds of other varieties among 2014 seeds produced.

	Formula	Substitute	Estimated Number
Yellow, round	P(yellow, round) * t	0.5625 * 2014	≈ 1133
Yellow, wrinkled	P(yellow, wrinkled) * t	0.1875 * 2014	≈ 378
Green, round	P(green, round) * t	0.1875 * 2014	≈ 378
Green, wrinkled	P(green, wrinkled) * t	0.0625 * 2014	≈ 126