2. According to genetic theory, the blossom color in the second generation of a certain cross of sweet peas should be red or white in a 3:1 ratio. That is, each plant has probability 4 of having red blossoms, and the bloss om colors of separate plants are independent. Show your work. a.What is the probability that exactly 8 out of 1 0 of these plants have red blossoms? ECO 380 Problem Set 3 What is the mean number of red-blossomed plants when 130 plants of this type are grown from b. seeds? What is the probability of obtaining at least 90 red-blosso med plants when 130 plans are grown from seeds? (Hint: Are conditions to use Normal approximation satisfied? c.

The number of chips of different colors in Gail's bag is shown below: • 3 blue chips • 4 pink chips • 8 white chips Gail takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Gail takes out a white chip in both draws? 8 7 56 %3D 15 14 210 7 217 15 14 210 16 15 15 15 8 8 64 %3! 15 15 225

1. Use this table for the following questions:                        Female      Male         TotalShort Hair       20              40             60 Long Hair        30              10             40 Total                50              50             100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…

12. A survey conducted discovered that 63% of all Americans are overweight. Suppose that a number of randomly selected Americans are weighed. The following table may (or may not) be useful: k 0 1 2 3 4 1 4 6 4 1 4Ck (a) Find the probability that the 4th person weighed is the first person to be overweight. (b) Find the probability that it takes less than 4 people to observe the first overweight person. (c) Find the expected value and variance of the number of Americans that would have to be weighed in order to find the first person that was overweight.